Relative humidity (in %) | Frequency |
84-86 | 1 |
86-88 | 1 |
88-90 | 2 |
90-92 | 2 |
92-94 | 7 |
94-96 | 6 |
96-98 | 7 |
98-100 | 4 |
Total | 30 |
Height (in cm) | No. of Students (Frequency) |
150-155 | 12 |
155-160 | 9 |
160-165 | 14 |
165-170 | 10 |
170-175 | 5 |
Total | 50 |
Concentration of sulphur dioxide in air | Frequency |
0.00 − 0.04 | 4 |
0.04 − 0.08 | 9 |
0.08 − 0.12 | 9 |
0.12 − 0.16 | 2 |
0.16 − 0.20 | 4 |
0.20 − 0.24 | 2 |
Total | 30 |
Number of Heads | Frequency |
0 | 6 |
1 | 10 |
2 | 9 |
3 | 5 |
Total | 30 |
Digits | Frequency |
0 | 2 |
1 | 5 |
2 | 5 |
3 | 8 |
4 | 4 |
5 | 5 |
6 | 4 |
7 | 4 |
8 | 5 |
9 | 8 |
Total | 30 |
Number of Hours | Frequency |
0-5 | 10 |
5-10 | 13 |
10-15 | 5 |
15-20 | 2 |
Total | 30 |
Lives of batteries (in years) | No. of batteries (Frequency) |
2-2.5 | 2 |
2.5-3 | 6 |
3-3.5 | 14 |
3.5-4 | 11 |
4-4.5 | 4 |
4.5-5 | 3 |
Total | 40 |
S.No. | Causes | Female fatality rate (%) |
1. | Reproductive health conditions | 31.8 |
2. | Neuropsychiatric conditions | 25.4 |
3. | Injuries | 12.4 |
4. | Cardiovascular conditions | 4.3 |
5. | Respiratory conditions | 4.1 |
6. | Other causes | 22.0 |
S.No. | Section | Number of girls per thousand boys |
1. | Scheduled Caste (SC) | 940 |
2. | Scheduled Tribe (ST) | 970 |
3. | Non SC/ST | 920 |
4. | Backward districts | 950 |
5. | Non-backward districts | 920 |
6. | Rural | 930 |
7. | Urban | 910 |
Political party | A | B | C | D | E | F |
Seats won |
S.No. | Length (in mm) | Number of leaves |
1. | 118 - 126 | 3 |
2. | 127 - 135 | 5 |
3. | 136 - 144 | 9 |
4. | 145 - 153 | 12 |
5. | 154 - 162 | 5 |
6. | 163 - 171 | 4 |
7. | 172 - 180 | 2 |
S.No. | Length (in mm) | Number of leaves |
1. | 117.5 - 126.5 | 3 |
2. | 126.5 - 135.5 | 5 |
3. | 135.5 - 144.5 | 9 |
4. | 144.5 - 153.5 | 12 |
5. | 153.5 - 162.5 | 5 |
6. | 162.5 - 171.5 | 4 |
7. | 171.5 - 180.5 | 2 |
Life Time (in hours) | Number of lamps |
300 - 400 | 14 |
400 - 500 | 56 |
500 - 600 | 60 |
600 - 700 | 86 |
700 - 800 | 74 |
800 - 900 | 62 |
900 - 1000 | 48 |
Marks | Class Mark | Frequency |
0-10 | 5 | 3 |
10-20 | 15 | 9 |
20-30 | 25 | 17 |
30-40 | 35 | 12 |
40-50 | 45 | 9 |
Marks | Class Mark | Frequency |
0-10 | 5 | 5 |
10-20 | 15 | 19 |
20-30 | 25 | 15 |
30-40 | 35 | 10 |
40-50 | 45 | 1 |
Number of balls | Team A | Team B |
0.5-6.5 | 2 | 5 |
6.5-12.5 | 1 | 6 |
12.5-18.5 | 8 | 2 |
18.5-24.5 | 9 | 10 |
24.5-30.5 | 4 | 5 |
30.5-36.5 | 5 | 6 |
36.5-42.5 | 6 | 3 |
42.5-48.5 | 10 | 4 |
48.5-54.5 | 6 | 8 |
54.5-60.5 | 2 | 10 |
Age (in years) | Number of children (frequency) | Width of class | Length of rectangle |
1-2 | 5 | 1 | (5/1)×1 = 5 |
2-3 | 3 | 1 | (3/1)×1 = 3 |
3-5 | 6 | 2 | (6/2)×1 = 3 |
5-7 | 12 | 2 | (12/2)×1 = 6 |
7-10 | 9 | 3 | (9/3)×1 = 3 |
10-15 | 10 | 5 | (10/5)×1 = 2 |
15-17 | 4 | 2 | (4/2)×1 = 2 |
Number of letters | Number of surnames | Width of class | Length of rectangle |
1-4 | 6 | 3 | (6/3)×2 = 4 |
4-6 | 30 | 2 | (30/2)×2 = 30 |
6-8 | 44 | 2 | (44/2)×2 = 44 |
8-12 | 16 | 4 | (16/4)×2 = 8 |
12-20 | 4 | 8 | (4/8)×2 = 1 |
) | ) | x |
3000 | 16 | 48000 |
4000 | 12 | 48000 |
5000 | 10 | 50000 |
6000 | 8 | 48000 |
7000 | 6 | 42000 |
8000 | 4 | 32000 |
9000 | 3 | 27000 |
10000 | 1 | 10000 |
Total | Σf = 60 | Σf x = 305000 |
Find the range of the data 9, 7, 5, 7, 9, 9, 6, 18, 9 and 8., what do you mean by grouped data, what is the class-mark of the class 130 – 150, contact form.
NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12
October 11, 2018 by Bhagya
The topics and sub-topics in NCERT Class 9 Maths Text Book Chapter 14 Statistics:
VERY SHORT ANSWER TYPE QUESTIONS 1. Mean of 20 observations is 17. If in the observations, observation 40 is replaced by 12, find the new mean. [CBSE-14-ERFKZ8H] Answer. Since mean of 20 observations is 17 Sum of the 20 observations = 17 x 20 = 340 New sum of 20 observations = 340 – 40 + 12 = 312 Newmean=312 / 20 =15.6
More Resources for CBSE Class 9
3. Mean of 36 observations is 12. One observation 47 was misread as 74. Find the correct mean. [CBSE-14-17DIG1U] Answer. Mean of 36 observations = 12 Total of 36 observations = 36 x 12 = 432 Correct sum of 36 observations = 432 – 74 + 47 = 405 Correct mean of 36 observations = 405/ 36 =11.25
7. Write the class mark of an interval 90 – 120. Answer. Classmark= (90+120 )/ 2 = 210 / 2 =105
9. Find the range of the given data : 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 Answer. Here, the minimum and maximum values of given data are 6 and 32 respectively. Range = 32 – 6 = 26
13. Find the mode of the following scores : 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 Answer. 14 repeat maximum number of times (4 times) in the given data. Mode = 14
Ncert exemplar for class 9 maths chapter 14 – statistics and probability.
Download the NCERT Exemplar Problem Solutions for Class 9 Maths Chapter 14 – Statistics and Probability solved by Mathematics Expert Teachers at Mathongo.com as per CBSE (NCERT) Book guidelines. By Preparing Exercise wise Exemplar Questions with Solutions to help you to revise complete Syllabus and Score More marks in your exams.
Unlimited worksheets.
Every time you click the New Worksheet button, you will get a brand new printable PDF worksheet on Statistics . You can choose to include answers and step-by-step solutions.
Unlimited adaptive online practice on Statistics . Practice that feels like play! Get shields, trophies, certificates and scores. Master Statistics as you play.
Take unlimited online tests on Statistics . Get instant scores and step-by-step solutions on submission. Make sure you always get your answers right in Statistics .
Statistics - Questions related to Statistics
CBSE NCERT Solutions
NCERT and CBSE Solutions for free
We have provided below free printable Class 9 Mathematics Statistics Worksheets for Download in PDF. The worksheets have been designed based on the latest NCERT Book for Class 9 Mathematics Statistics . These Worksheets for Grade 9 Mathematics Statistics cover all important topics which can come in your standard 9 tests and examinations. Free printable worksheets for CBSE Class 9 Mathematics Statistics , school and class assignments, and practice test papers have been designed by our highly experienced class 9 faculty. You can free download CBSE printable worksheets for Mathematics Statistics Class 9 with solutions and answers. All worksheets and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Statistics Class 9. Students can click on the links below and download all Pdf worksheets for Mathematics Statistics class 9 for free. All latest Kendriya Vidyalaya Class 9 Mathematics Statistics Worksheets with Answers and test papers are given below.
Here we have the biggest database of free CBSE NCERT KVS Worksheets for Class 9 Mathematics Statistics . You can download all free Mathematics Statistics worksheets in Pdf for standard 9th. Our teachers have covered Class 9 important questions and answers for Mathematics Statistics as per the latest curriculum for the current academic year. All test sheets question banks for Class 9 Mathematics Statistics and CBSE Worksheets for Mathematics Statistics Class 9 will be really useful for Class 9 students to properly prepare for the upcoming tests and examinations. Class 9th students are advised to free download in Pdf all printable workbooks given below.
At https://www.cbsencertsolutions.com, we have provided the biggest database of free worksheets for Mathematics Statistics Class 9 which you can download in Pdf
We provide here Standard 9 Mathematics Statistics chapter-wise worksheets which can be easily downloaded in Pdf format for free.
You can click on the links above and get worksheets for Mathematics Statistics in Grade 9, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.
We have provided here subject-wise Mathematics Statistics Grade 9 question banks, revision notes and questions for all difficult topics, and other study material.
We have provided the best quality question bank for Class 9 for all subjects. You can download them all and use them offline without the internet.
Coast guard.
A retired Army National Guard noncommissioned officer who was once the top Democrat on the House Veterans Affairs Committee could become the next vice president.
Presumptive Democratic presidential nominee Vice President Kamala Harris announced Tuesday that Minnesota Gov. Tim Walz will be her running mate. That puts someone with an enlisted background on both presidential tickets after Republican nominee former President Donald Trump chose Marine veteran Sen. JD Vance of Ohio as his running mate.
Patrick Murphy, an Army veteran who was Walz' roommate when they were both freshmen in Congress, called Walz a "soldier's soldier."
Read Next: A Rocket Attack at an Iraqi Military Base Injures US Personnel, Officials Say
"The two largest federal agencies are DoD and the VA, so someone who has intimate knowledge of both is incredibly important," Murphy, who served as Army under secretary during the Obama administration, said in a phone interview with Military.com. "He was a field artilleryman who has tinnitus as diagnosed by the VA, so he understands the plight of our brother and sister veterans."
Walz enlisted in the Army National Guard in Nebraska in 1981 and retired honorably in 2005 as the top enlisted soldier for 1st Battalion, 125th Field Artillery Regiment, in the Minnesota National Guard, according to a copy of his records provided by the Minnesota Guard. He reached the rank of command sergeant major and served in that role, but he officially retired as a master sergeant for benefits purposes because he didn't finish a required training course, according to the records and a statement from the Minnesota Guard.
His Guard career included responding to natural disasters in the United States, as well as a deployment to Italy to support U.S. operations in Afghanistan, according to a 2018 article by Minnesota Public Radio . Walz earned several awards, including the Army Commendation Medal and two Army Achievement Medals, according to his military records. Working a civilian job as a high school teacher and football coach, the Nebraska native was also named that state's Citizen Soldier of the Year in 1989, according to official biographies.
During the 2022 Minnesota governor's race, Walz' opponent accused him of leaving the Guard when he did in order to avoid a deployment to Iraq, though Walz maintained he retired in order to focus on running for Congress, according to the Star Tribune newspaper .
Far-right commentators and media resurfaced those allegations and knocked him for never serving in combat -- something he has never claimed to do -- in contrast with Vance's deployment to Iraq as a combat correspondent.
"Looks like it is time to bring back Swift Boat Veterans for Truth. Oof. Walz is a really unforced error. He bailed on the military when they decided to send him to Iraq. JD Vance actually served," conservative talk radio host Erick Erickson posted on social media Tuesday.
Walz was first elected to the House of Representatives in 2006, becoming the highest-ranking retired enlisted soldier to serve in Congress.
His tenure in Congress included sitting on the House Veterans Affairs Committee, rising to be its ranking member in 2017.
"Walz' leadership on behalf of his fellow veterans when he was in the U.S. House of Representatives is notable at a time when our all-volunteer force continues to struggle to recruit," Allison Jaslow, CEO of Iraq and Afghanistan Veterans of America, said in a statement praising the choice of a veteran to be vice presidential nominee. "How we care for our veterans is as important to our national security as how we care for our troops, and Walz has a record to prove that he understands that imperative."
As the top Democrat on the committee, Walz was a chief adversary for the Trump administration's Department of Veterans Affairs . He battled with then-acting VA Secretary Peter O'Rourke in 2018 during a standoff over O'Rourke's handling of the inspector general's office, and pushed for an investigation into the influence of a trio of informal VA advisers who were members of Trump's Mar-a-Lago club. An investigation by House Democrats completed after Walz left Congress concluded that the so-called Mar-a-Lago trio "violated the law and sought to exert improper influence over government officials to further their own personal interests."
Walz also opposed the Mission Act, the bill that expanded veterans' access to VA-funded care by non-VA doctors that Trump considers one of his signature achievements. Walz said in statements at the time that, while he agreed the program for veterans to seek outside care needed to be fixed, he believed the Mission Act did not have sustainable funding. VA officials in recent years have said community care costs have ballooned following the Mission Act.
Walz supported another bill that Trump touts as a top achievement, the Department of Veterans Affairs Accountability and Whistleblower Protection Act, which sought to make it easier for the VA to fire employees accused of misconduct or poor performance. But the implementation of that law was later part of Walz' fight with O'Rourke . The law also faced legal challenges that prompted the Biden administration to stop using the expedited firing authorities granted by the bill.
Walz was also an early proponent of doing more for veterans exposed to toxins during their military service, sponsored a major veterans suicide prevention bill and advocated for the expansion of GI Bill benefits. And he repeatedly pushed the VA to study marijuana usage to treat PTSD and chronic pain, something that could come up in a future administration if the Department of Justice finalizes reclassifying marijuana into a category of drugs considered less dangerous.
Walz' time in Congress also included a stint on the House Armed Services Committee, a perch he used to advocate for benefits for members of the National Guard .
Walz consistently voted in support of the annual defense policy bill, as well as advocated for repealing the "Don't Ask, Don't Tell" policy that effectively banned gay and lesbian service members.
"He was my battle buddy in the fight to repeal 'Don't Ask, Don't Tell,' and it wouldn't have happened if we didn't have Command Sgt. Maj. Tim Walz helping lead the fight," Murphy said.
Since becoming governor of Minnesota in 2019, Walz' role as commander in chief of the Minnesota National Guard has come under a spotlight several times. In response to a request from the Minneapolis mayor, he activated the Guard in May 2020 to assist law enforcement when some protests over the Minneapolis police killing of George Floyd turned destructive. At the time, Minneapolis' mayor accused Walz of being too slow to order the deployment, a charge he denied.
"It is time to rebuild. Rebuild the city, rebuild our justice system, and rebuild the relationship between law enforcement and those they're charged to protect," Walz said in a statement when he announced the activation.
He also activated the Guard to protect the Minnesota state Capitol in January 2021 amid fears that Trump supporters could riot at state houses like they did at the U.S. Capitol that month. And he's used the Guard for missions that are more routine for the service, such as to help after heavy flooding earlier this summer .
As news broke Tuesday of Walz' selection, he quickly won praise from other Democratic veterans.
"Having a person who wore the uniform and who deployed around the world adds to the ticket someone who can connect with veterans and military families in a way that no one but a veteran can," Jon Soltz, chairman of liberal political action committee VoteVets, said in a statement.
-- Steve Beynon contributed to this story.
Related: Here's Kamala Harris' Record on Veterans and Military Issues
Capt. Bradley Geary, the then-leader of the command that runs the Navy SEAL BUD/s training program, is now facing a board of...
It's well into a tense election season, and the Navy and Marine Corps are reminding their troops of what they can and cannot...
The Taliban celebrated the third anniversary of its return to power at a former U.S. air base in Afghanistan on Wednesday...
Sens. John Cornyn, R-Texas, and Chris Van Hollen, D-Md., along with 34 other senators in both parties, sent President Joe...
The attacks, spearheaded by Trump's VP pick Sen. JD Vance, claim Walz ducked a Guard deployment to Iraq and lied about his...
When I came to Congress two years ago and joined the House Veterans' Affairs Committee, I was cautiously optimistic that...
Command Sgt. Maj. Veronica Knapp was dismissed "due to a loss of trust and confidence in her leadership," a spokesperson for...
The Navy’s ability to build lower-cost warships that can shoot down Houthi rebel missiles in the Red Sea depends in part on a...
The soldier, U.S. Army Spc. Riley F. Birbilas, was charged Monday with premeditated murder and obstruction of justice...
Airmen and Guardians will receive the nonfunctioning M4 rifle when they arrive at basic military training and will carry and...
Gokhan Gun, 50, of Falls Church, was arrested Friday outside his home and charged with mishandling classified material.
Advertisement
Mr. Walz, the governor of Minnesota, worked as a high school social studies teacher and football coach, served in the Army National Guard and chooses Diet Mountain Dew over alcohol.
By Simon J. Levien and Maggie Astor
Until recently, Gov. Tim Walz of Minnesota was a virtual unknown outside of the Midwest, even among Democrats. But his stock rose fast in the days after President Biden withdrew from the race, clearing a path for Ms. Harris to replace him and pick Mr. Walz as her No. 2.
Here’s a closer look at the Democrats’ new choice for vice president.
1. He is a (very recent) social media darling . Mr. Walz has enjoyed a groundswell of support online from users commenting on his Midwestern “dad vibes” and appealing ordinariness.
2. He started the whole “weird” thing. It was Mr. Walz who labeled former President Donald J. Trump and his running mate, Senator JD Vance of Ohio, “weird” on cable television just a couple of weeks ago. The description soon became a Democratic talking point.
3. He named a highway after Prince and signed the bill in purple ink. “I think we can lay to rest that this is the coolest bill signing we’ll ever do,” he said as he put his name on legislation declaring a stretch of Highway 5 the “Prince Rogers Nelson Memorial Highway” after the musician who had lived in Minnesota.
4. He reminds you of your high school history teacher for a reason. Mr. Walz taught high school social studies and geography — first in Alliance, Neb., and then in Mankato, Minn. — before entering politics.
5. He taught in China in 1989 and speaks some Mandarin. He went to China for a year after graduating from college and taught English there through a program affiliated with Harvard University.
We are having trouble retrieving the article content.
Please enable JavaScript in your browser settings.
Thank you for your patience while we verify access. If you are in Reader mode please exit and log into your Times account, or subscribe for all of The Times.
Thank you for your patience while we verify access.
Already a subscriber? Log in .
Want all of The Times? Subscribe .
The Selina solutions for the questions given in Chapter 18, Statistics, of the Class 9 Selina textbooks are available here. In this chapter students learn about the topic of Statistics in detail. Students can easily score full marks in the exams by solving all the questions present in the Selina textbook.
The Class 9 Selina solutions are very easy to understand. These Class 9 Selina solutions maths cover all the exercise questions included in the book and are according to the syllabus prescribed by the ICSE or CISCE. Here, the PDF of the Class 9 maths Chapter 18 Selina solutions is available which can be downloaded as well as viewed online. Students can also avail these Selina solutions and download it for free to practice them offline as well.
Exercise 18(A)
1. State which of the following variables are continuous and which are discrete:
(a) Number of children in your class
(b) Distance travelled by a car
(c) Sizes of shoes
(e) Number of patients in a hospital
(a) Discrete variable.
(b) Continuous variable.
(c) Discrete variable.
(d) Continuous variable.
(e) Discrete variable.
2. Given below are the marks obtained by 30 students in an examination:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Taking class intervals 1 – 10, 11 – 20, ….., 41 – 50; make a frequency table for the above distribution.
The frequency table for the given distribution is
Marks | Tally Marks | Frequency |
1 – 10 |
| 4 |
11 – 20 |
| 8 |
21 – 30 |
| 6 |
31 – 40 |
| 6 |
41 – 50 |
| 6 |
3. The marks of 24 candidates in the subject mathematics are given below:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The maximum marks are 50. Make a frequency distribution taking class intervals 0 – 10, 10-20, …….
Marks | Tally Marks | Frequency |
0 – 10 |
| 4 |
10 – 20 |
| 6 |
20 – 30 |
| 3 |
30 – 40 |
| 4 |
40 – 50 |
| 7 |
In the above frequency distribution, the marks 30 are present in the class of interval 30 – 40 and not in the interval 20 – 30. Similarly, marks 40 are present in the class of interval 40 – 50 and not in 30 – 40.
4. Fill in the blanks:
(a) A quantity which can very from one individual to another is called a ………….
(b) Sizes of shoes are ……….. variables.
(c) Daily temperatures is ……….. variable.
(d) The range of the data 7, 13, 6, 25, 18, 20, 16 is …………
(e) In the class interval 35 – 46; the lower limit is ………. and upper limit is ………
(f) The class mark of class interval 22 – 29 is ………. .
(a) Variable.
(b) Discrete variables.
(c) Continuous variable.
(d) The range is 25 – 6 = 19
(e) Lower limit is 35 and upper limit is 46
(f) The class mark is 22 – 29 = (22 + 29)/2
5. Find the actual lower class limits, upper class limits and the mid-values of the classes: 10 – 19, 20 – 29, 30 – 39 and 40 – 49.
For the class interval: 10 – 19,
Lower class limit is 10
Upper class limit is 19
So, the mid-value is (10 + 19)/2 = 14.5
For the class interval: 20 – 29,
Lower class limit is 20
Upper class limit is 29
So, the mid-value is (20 + 29)/2 = 24.5
For the class interval: 30 – 39,
Lower class limit is 30
Upper class limit is 39
So, the mid-value is (30 + 39)/2 = 34.5
For the class interval: 40 – 49,
Lower class limit is 40
Upper class limit is 49
So, the mid-value is (40 + 49)/2 = 44.5
6. Find the actual lower and upper class limits and also the class marks of the classes:
1.1 – 2.0, 2.1 -3.0 and 3.1 – 4.0.
For the class interval: 1.1 – 2.0,
The lower class limit is 1.1 and the upper class limit is 2.0
Hence, the class mark is (1.1 + 2.0)/2 = 1.55
For the class interval: 2.1 – 3.0
The lower class limit is 2.1 and the upper class limit is 3.0
Hence, the class mark is (2.1 + 3.0)/2 = 2.55
For the class interval: 3.1 – 4.0
The lower class limit is 3.1 and the upper class limit is 4.0
Hence, the class mark is (3.1 + 4.0)/2 = 3.55
7. Use the table given below to find:
(a) The actual class limits of the fourth class.
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(a) The actual class limits of the fourth class will be: 44.5 – 49.5.
(b) The class boundaries of the sixth class will be: 54.5 – 59.5
(c) The class mark of the third class will be the average of the lower limit and the upper limit of the class interval
Hence, the class mark is (40 + 44)/2 = 84/2 = 42
(d) The upper and lower limits of the fifth class are 54 and 50 respectively
(e) The size of the third class is (44 – 40 + 1) = 5
8. Construct a cumulative frequency distribution table from the frequency table given below:
|
|
|
|
|
|
|
|
|
|
|
|
(i)The cumulative frequency distribution table is
Class Interval | Cumulative Frequency |
0 – 8 | 9 |
8 – 16 | 22 |
16 – 24 | 34 |
24 – 32 | 41 |
32 – 40 | 56 |
(ii)The cumulative frequency distribution table is
Class Interval | Cumulative Frequency |
1 – 10 | 12 |
11 – 20 | 30 |
21 – 30 | 53 |
31 – 40 | 68 |
41 – 50 | 78 |
9. Construct a frequency distribution table from the following cumulative frequency distribution:
|
|
|
|
|
|
|
|
|
|
(i)The frequency distribution table is as below:
Class Interval | Frequency |
10 – 19 | 8 |
20 – 29 | 11 |
30 – 39 | 4 |
40 – 49 | 7 |
(ii)The frequency distribution table is as below:
Class Interval | Frequency |
5 – 10 | 18 |
10 – 15 | 12 |
15 – 20 | 16 |
20 – 25 | 27 |
25 – 30 | 17 |
10. Construct a frequency table from the following data:
The frequency table is as below:
Class Interval | No. of students |
0 – 10 | 6 |
10 – 20 | 9 |
20 – 30 | 15 |
30 – 40 | 9 |
40 – 50 | 14 |
50 – 60 | 17 |
11. Construct the frequency distribution table from the following cumulative frequency table:
(i) State the number of students in the age group 10 – 13.
(ii) State the age-group which has the least number of students.
The frequency distribution table is as below:
Ages | No. of students |
0 – 4 | 0 |
4 – 7 | 85 |
7 – 10 | 55 |
10 – 13 | 103 |
13 – 16 | 57 |
(i) The number of students in the age group 10 – 13 is 103
(ii) The age group which has the least number of students is 7 – 10
12. Fill in the blanks in the following table:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Class Interval | Frequency | Cumulative Frequency |
25 – 34 | 15 | 15 |
35 – 44 | 13 | 28 |
45 – 54 | 21 | 49 |
55 – 64 | 16 | 65 |
65 – 74 | 8 | 73 |
75 – 84 | 12 | 85 |
13. The value of π upto 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?
(i) The frequency distribution table of digits from 0 to 9 after the decimal place is as below:
X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
F | 2 | 5 | 5 | 8 | 4 | 5 | 4 | 4 | 5 | 8 |
Most occurring digits are 3 and 9
Least occurring digits are 0
Exercise 18(B)
1. Construct a frequency polygon for the following distribution:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The frequency polygon for the given data is shown below:
Steps for construction:
(i) Draw a histogram for the given data.
(ii) Mark the mid-point at the top of each rectangle of the histogram drawn.
(iii) Also, mark the mid-point of the immediately lower class-interval and mid-point of the immediately higher class-interval.
(iv) Lastly, join the consecutive mid-points marked by straight lines to obtain the required frequency polygon.
2. Construct a combined histogram and frequency polygon for the following frequency distribution:
|
|
|
|
|
|
|
|
|
|
|
|
The combined histogram and frequency polygon for the given data is shown below:
3. Construct a frequency polygon for the following data:
As the class intervals are inclusive, let’s first convert them into the exclusive form.
Class-Interval | Frequency |
9.5 – 14.5 | 5 |
14.5 – 19.5 | 8 |
19.5 – 24.5 | 12 |
24.5 – 29.5 | 9 |
29.5 – 34.5 | 4 |
The frequency polygon for the given data is shown as below:
4. The daily wages in a factory are distributed as follows:
Draw a frequency polygon for this distribution.
5. (i) Draw frequency polygons for each of the following frequency distribution:
(a) using histogram
(b) without using histogram
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(a) Using Histogram:
Class Interval | Frequency |
10 – 30 | 4 |
30 – 50 | 7 |
50 – 70 | 5 |
70 – 90 | 9 |
90 – 110 | 5 |
110 – 130 | 6 |
130 – 150 | 4 |
(iv) Lastly, join the consecutive mid-points marked by straight lines to obtain the required frequency polygon.
(b) Without using Histogram:
(i) Find the class mark (mid-value) of each given class-interval.
Using, Class mark = mid-value = (Upper limit + Lower limit)/2
(ii) On a graph paper, mark class marks along X-axis and frequencies along Y-axis.
(iii) On this graph paper, mark points taking values of class-marks along X-axis and the values of their corresponding frequencies along Y-axis.
(iv) Draw line segments joining the consecutive points marked in step (3) above.
C.I. | Class mark | Frequency |
0 – 10 | 0 | 0 |
10 – 30 | 20 | 4 |
30 – 50 | 40 | 7 |
50 – 70 | 60 | 5 |
70 – 90 | 80 | 9 |
90 – 110 | 100 | 5 |
110 – 130 | 120 | 6 |
130 – 150 | 140 | 4 |
150 – 170 | 160 | 0 |
5. (ii) Draw frequency polygons for each of the following frequency distribution:
C.I. | Frequency |
5 – 15 | 8 |
15 – 25 | 16 |
25 – 35 | 18 |
35 – 45 | 14 |
45 – 55 | 8 |
55 – 65 | 2 |
C.I. | Class mark | Frequency |
5 – 15 | 0 | 0 |
5 – 15 | 10 | 8 |
15 – 25 | 20 | 16 |
25 – 35 | 30 | 18 |
35 – 45 | 40 | 14 |
45 – 55 | 50 | 8 |
55 – 65 | 60 | 2 |
65 – 75 | 70 | 0 |
The Chapter 18, Statistics, contains 2 exercises and the Solutions given here contains the answers for all the questions present in these exercises. Let us have a look at some of the topics that are being discussed in this chapter.
18.1 Introduction
18.2 Variable
18.3 Tabulation of data
18.4 Frequency
18.5 Frequency distribution table
18.6 Types of frequency distributions
18.7 Class intervals and class limits
18.8 Cumulative frequency and cumulative frequency table
18.9 Graphical representation of data
18.10 Graphical representation of continuous frequency distribution
Statistics is a branch of Mathematics that is concerned with how information is collected, organised, presented, summarised and then analysed so the conclusion may be drawn from the information. Read and learn the Chapter 18 of Selina textbook to get to know more about Statistics. Learn the Selina Solutions for Class 9 effectively to attain excellent result in the examination.
ICSE Related Links | |
Your Mobile number and Email id will not be published. Required fields are marked *
Request OTP on Voice Call
Post My Comment
Register with byju's & watch live videos.
IMAGES
COMMENTS
Class 9 Assignments. July 30, 2021November 3, 2022 admin. We have provided below free printable Class 9 Mathematics Statistics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 9 Mathematics Statistics. These Assignments for Grade 9 Mathematics Statistics cover all important topics ...
Q.1: Give one example of a condition in which: (i) the mean is a proper measure of central tendency. (ii) the mean is not a proper measure of central tendency but the median is a proper measure of central tendency. Q.2: Find the mean, median mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18. Q.3: The relative humidity (in %) of a certain ...
Statistics is used in the study and manipulation of data, including ways to gather, review, analyse and draw conclusions from data. Statistics Class 9 Notes are the premier study tool that will help students get a complete overview of chapter 14 given in the CBSE math textbook.
Important Questions & Solutions of Class 9 Maths Chapter 14 - Statistics. Question 1. Give three examples of data which you can get from your day-to-day life. Solution: Here are the three examples which are related to our day-to-day life : The number of boys in a sports team. Electricity bills for last one year.
NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.1. Ex 14.1 Class 9 Maths Question 1. Give five examples of data that you collect from your day-to-day life. Solution: Following are the five examples which are related to day-to-day life : Number of girl students in our class. Number of computer sets in our computer lab.
Solution 1. (i) By representing causes on x axis and family fatality rate on y axis and choosing an appropriate scale (1 unit = 5% for y axis) we can draw the graph of information given above, as following. All the rectangle bars are of same width and having equal spacing between them.
Maths NCERT Class 9 Statistics Chapter has equipped you with valuable tools to transform raw data into meaningful insights. You've explored various methods for data collection and delved into the power of visual representations like bar graphs and histograms. By organizing data into frequency distributions, you've learned to summarize large ...
Updated for 2023-24 NCERT Book. Get solutions of all NCERT Questions of Chapter 12 Class 9 Statistics. All exercise questions and examples are solved with detailed explanations of each and every question. In this chapter, we will learn. Click on a NCERT Exercise below, or start the chapter from the concepts given below.
Assignments for Class 9 Mathematics Statistics have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Statistics from our website as we have provided all topic wise ...
Here, you can download PDF of Class 9 Maths NCERT Solutions of Chapter 14 Statistics which will make you aware of the difficulty of questions. You can also complete your homework on time through the help of these NCERT Solutions and increase your concentration. Class 9 Maths NCERT Solutions presented here are very helpful in developing problem ...
CBSE Class 9 Maths Notes Chapter 14 Statistics. 1. Primary and Secondary Data: When the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data. When the information was gathered from a source which already had the information stored, the data ...
Important Questions for CBSE Class 9 Mathematics Chapter 7 Statistics The topics and sub-topics in NCERT Class 9 Maths Text Book Chapter 14 Statistics: Statistics Introduction Collection Of Data Presentation Of Data Graphical Representation Of Data Measures Of Central Tendency Summary IMPORTANT QUESTIONS VERY SHORT ANSWER TYPE QUESTIONS 1. Mean of 20 observations is 17. […]
These practice test papers and workbooks with question banks for Class 9 Mathematics Statistics Pdf Download and free CBSE Assignments for Class 9 are really beneficial for you and will support in preparing for class tests and exams. Standard 9th students can download in Pdf by clicking on the links below.
Download the NCERT Exemplar Problem Solutions for Class 9 Maths Chapter 14 - Statistics and Probability solved by Mathematics Expert Teachers at Mathongo.com as per CBSE (NCERT) Book guidelines. By Preparing Exercise wise Exemplar Questions with Solutions to help you to revise complete Syllabus and Score More marks in your exams. MathonGo is ...
STATISTICS 14.1 Introduction Everyday we come across a lot of information in the form of facts, numerical figures, ... (out of 100 marks) by 30 students of Class IX of a school: 10 20 36 92 95 40 50 56 60 70 92 88 80 70 72 70 36 40 36 40 92 40 50 50 56 60 70 60 60 88 Recall that the number of students who have obtained a certain number of marks is
Class 9 - Statistics problems, online practice, tests, worksheets, quizzes, and teacher assignments.
We have provided below free printable Class 9 Mathematics Statistics Worksheets for Download in PDF. The worksheets have been designed based on the latest NCERT Book for Class 9 Mathematics Statistics. These Worksheets for Grade 9 Mathematics Statistics cover all important topics which can come in your standard 9 tests and examinations.
NCERT Solutions Class 9 Maths Chapter 14 - CBSE Download Free PDF *According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 12. NCERT Solutions for Class 9 Maths Chapter 14 Statistics are the best ways to strengthen a student's skills and knowledge. It contains all the relevant study material that can help them score well in the CBSE examinations.
Tim Walz enlisted in the Army National Guard in Nebraska in 1981 and retired honorably in 2005 as the top enlisted soldier for 1st Battalion, 125th Field Artillery Regiment, in the Minnesota ...
4. He reminds you of your high school history teacher for a reason. Mr. Walz taught high school social studies and geography — first in Alliance, Neb., and then in Mankato, Minn. — before ...
Selina Solutions for Class 9 Maths Chapter 18- Statistics. Statistics is a branch of Mathematics that is concerned with how information is collected, organised, presented, summarised and then analysed so the conclusion may be drawn from the information. Read and learn the Chapter 18 of Selina textbook to get to know more about Statistics.