# Class 9 Maths Worksheet for statistics

Given below are the Class 9 Maths Worksheet for statistics
a. Concepts questions
b. Calculation problems
c. Multiple choice questions
e. Fill in the blank's

Question 1.
The runs scored by two teams A and B on first 60 balls in cricket match are given below:-

Represent the data of both teams on same graph by frequency polygon.

Question 2.
A random survey of no. of children of various age groups playing in a park was found as follows:-
 Age (in years) No. of Children 1-2 5 2-3 3 3-5 6 5-7 12 7-10 9 10-15 10 15-17 4
Draw a histogram to represent the data above.

Question 3.
Two sections of Class IX having 30 students each appeared for mathematics olympiad. The marks obtained by them are shown below:
46 31 74 68 42 54 14 61 83 48 37 26 8 64 57
93 72 53 59 38 16 88 75 56 46 66 45 61 54 27
27 44 63 58 43 81 64 67 36 49 50 76 38 47 55
77 62 53 40 71 60 58 45 42 34 46 40 59 42 29
Construct a group frequency distribution of the data above using the classes 0-9, 10-19 etc., and hence find the number of students who secured more than 39 marks.

From the table above, we find that the number of students who secure more than 39
marks is (15+12 + 10 + 6 + 3 + 1), i.e., 47

Question 4.
Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

Mode is 14

Question 5.
The following table shows the no. of X cars sold by five dealers in a particular month.
 Dealer: A B C D E Cars sold 60 40 20 15 10
Draw a pictograph.

Question 6.
The following data gives the no. of students of Mumbai state who went abroad for study during some years-
 Years: 2000 2001 2002 2003 2004 2006 No of students 1400 1600 1250 1000 2000 2200
Represent it with a bar graph.

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Question 7.
The following table shows the interest paid by a company (in lakhs):
 Year 1995-96 1996-97 1997-98 1998-99 1999-2000 Interests 20 25 15 18 30
(in lakh of Rs)
Draw a bar graph to represent it.

Question 8.
The following data gives the production of food grains for some years-
 Years: 2000 2001 2002 2003 2004 2006 Production 120 150 140 180 170 190
(in 1000 tonnes)
Represent it with a bar graph.

Question 9.
The following data gives the demand estimates of the Government of India, Department of Electronics for the personal in the computer Sector during the Eighth plan period (1990-95)
 Qualifications: MCA DCA DCE CL ST Personal required 40600 181600 18600 670600 1802900
Represent it with a bar graph.
Indicate with help of bar graph the course where estimated requirement is least.

Question 10.
The incomes and expenditure for 5 years of a family is given in a following data:
 Years 1995-96 1996-97 1997-98 1998-99 1999-2000 Income (Rs. in thou) 100 140 150 170 210 Expenditure (Rs in thou) 80 130 145 160 190
Represent it with a bar graph.

Question 11.
The mean marks (out of 100) of boys and girls in an examination are 70 and 73, respectively. If the mean marks of all the students in that examination is 71, find the ratio of the number of boys to the number of girls.

let m and n be number of boys and girls respectively
Then total marks of boys and girls are 70m and 73n respectively
Total Mark of Students =70m + 73 n
Now
Mean = Total Marks/Total students
$71= \frac {70m + 73 n}{m+n}$
or
$71(m+n)=70m + 73 n$
$71(\frac {m}{n} + 1)= 70 \frac {m}{n} + 73$
$\frac {m}{n}=2$

## Summary

This Class 9 Maths Worksheet for statistics with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.