NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Q. In the given figure, there is a histogram depticting daily wages of workers in a factory. Construct the frequency distribution table.

histogram

Ans.

Class-interval Wages (in โ‚น) No. of workers
150 โ€“ 200 50
200 โ€“ 250 30
250 โ€“ 300 35
300 โ€“ 350 20
350 โ€“ 400 10

It is the required frequency distribution for given histogram.

Q. Given below are the seats won by different political parties in the polling outcome of a state assembly elections :

Political party Seats won
A 75
B 55
C 37
D 29
E 10
F 37

(i) Draw a bar graph to represent to polling results.
(ii) Which political party won the maximum number of seats?

Ans.

polling outcome

(ii) Party A, was the maximum number of seats as 75.

Q. The following table gives the distribution of students of two sections according to the marks obtained by them :

Section A Section B
Marks Frequency Marks Frequency
0 โ€“ 10 3 0 โ€“ 10 5
10 โ€“ 20 9 10 โ€“ 20 19
20 โ€“ 30 17 20 โ€“ 30 15
30 โ€“ 40 12 30 โ€“ 40 10
40 โ€“ 50 9 40 โ€“ 50 1

Represent the marks of the students of both the sections on the same graph by two frequency polygon. From the two polygons compare the performance of the two sections.

Ans.

frequency polygon
Section A Section B
Marks Mid value Frequency (fA) Marks Mid value fB
0 โ€“ 10 5 3 0 โ€“ 10 5 5
10 โ€“ 20 15 9 10 โ€“ 20 15 19
20 โ€“ 30 25 17 20 โ€“ 30 25 15
30 โ€“ 40 35 12 30 โ€“ 40 35 10
40 โ€“ 50 45 9 40 โ€“ 50 45 1