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Toggle## Class 8, Maths, Chapter 5, Exercise 5.1, Solutions

**Q.1. For which of these would you use a histogram to show the data?**

**(a) The number of letters for different areas in a postman’s bag.**

**(b) The height of competitors in athletics meet.**

**(c) The number of cassettes produced by 5 companies.**

**(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.**

**Give reasons for each.**

** ****Ans: **while observing the given data we can conclude that data in (b) and (d) can be represented using a histogram and these data can be arranged in class intervals.

**Explanation: **

(i) The number of areas cannot be represented in class-intervals. So, we cannot use the histogram to show the data.

(ii) Height of competitors can be divided into intervals. So, we can use histogram here.

**For example:**

(iii) Companies cannot be divided into intervals. So, we cannot use histogram here.

(iv) Time for boarding the train can be divided into intervals. So, we can use histogram here.

**For example:**

**Q.2. The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning:**

**Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.**

**Ans:**

**Q.3. The wee****kly wages (in ****₹****) of 30 workers in a factory are.**

**Using tally marks make a frequency table with intervals as 800–810, 810–820 and so on.**

** ****Ans:**

**Q.4. Draw a histogram for the frequency table made for the data in Question 3, and answer the following questions.**

**(i) Which group has the maximum number of workers?**

**(ii) How many workers earn ****₹**** 850 and more?**

**(iii) How many workers earn less than ****₹ ****850?**

**Ans:**

(i) Group which has the maximum number of workers. = (830 – 840)

(ii) Workers earn ₹ 850 and more are 10 (=1+3+1+1+4)

(iii) Workers earn less than ₹ 850 are 20 (= 5+9+1+2+3)

**Q.5. The number of hours for which students of a particular class watched television during holidays is shown through the given graph. Answer the following.**

**(i) For how many hours did the maximum number of students watch TV?**

**(ii) How many students watched TV for less than 4 hours?**

**(iii) How many students spent more than 5 hours in watching TV?**

**Ans:**

(i) 4 – 5 hours

(ii) 34 students

(iii) 14 students