NCERT Solutions for Class 9 Maths Chapter 14: Statistics
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Q. In the given figure, there is a histogram depticting daily wages of workers in a factory. Construct the frequency distribution table.
Ans.
| Class-interval Wages (in ₹) | No. of workers |
| 150 – 200 | 50 |
| 200 – 250 | 30 |
| 250 – 300 | 35 |
| 300 – 350 | 20 |
| 350 – 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.
(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 – 10 | 3 | 0 – 10 | 5 |
| 10 – 20 | 9 | 10 – 20 | 19 |
| 20 – 30 | 17 | 20 – 30 | 15 |
| 30 – 40 | 12 | 30 – 40 | 10 |
| 40 – 50 | 9 | 40 – 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.
| Section A | Section B | ||||
| Marks | Mid value | Frequency (fA) | Marks | Mid value | fB |
| 0 – 10 | 5 | 3 | 0 – 10 | 5 | 5 |
| 10 – 20 | 15 | 9 | 10 – 20 | 15 | 19 |
| 20 – 30 | 25 | 17 | 20 – 30 | 25 | 15 |
| 30 – 40 | 35 | 12 | 30 – 40 | 35 | 10 |
| 40 – 50 | 45 | 9 | 40 – 50 | 45 | 1 |