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- Data Handling : Solution of NCERT Exercise 4.1

**Exercise 1**

**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 an 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.**

Answer: Data in (b) and (d) can be represented using a histogram. These data can be arranged in class intervals. This is what is required to depict a histogram. There should be no gap between two bars.

**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:**

**W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W**

**W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W**

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

**Answer:**

**3. The weekly wages (in Rs) of 30 workers in a factory are.**

**830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840**

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

**Answer:**

**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 Rs 850 and more?**

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

**Answer:**

(i) The group earning Rs. 830-840 per week is having the most number of workers.

(ii) 10 workers are earning Rs. 850 or more.

(iii) 20 workers are earning less than Rs. 850.

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

**(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?**

**Answer:** (i) Most of the students watched TV for 4 to 6 hours.

(ii) 34 students watched TV for less than 4 hours.

(iii) 14 students watch TV for more than 5 hours

Data Handling will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.