Class 8 RD Sharma Solutions – Chapter 24 Data Handling II (Graphical Representation of Data as Histograms) – Exercise 24.1 | Set 1

Question 1. Given below is the frequency distribution of the heights of 50 students of a class:

Class Interval	140 – 145	145 – 150	150 – 155	155 – 160	160 – 165
Frequency	8	12	18	10	5

Draw a histogram representing the above data.

Solution:

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Question 2. Draw a histogram of the following data:

Class Interval	10 – 15	15 – 20	20 – 25	25 – 30	30 – 35	35 – 40
Frequency	30	98	80	58	29	50

Solution:

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Question 3. Number of workshops organized by a school in different areas during the last five years are as follows:

Years	No. of Workshops
1995 – 1996	25
1996 – 1997	30
1997 – 1998	42
1998 – 1999	50
1999 – 2000	65

Draw a histogram representing the above data.

Solution:

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Question 4. In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 168, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).

Solution:

First we create a frequency table using the given observations:

Class Interval	Frequency
50 – 100	2
100 – 150	11
150 – 200	4
200 – 250	3

Now we draw a histogram using the frequency table:

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Question 5. Construct a histogram for the following data:

Monthly School Fee(in Rs)	30-60	60-90	90-120	120-150	150-180	180-210	210-240
No. of Schools	5	12	14	18	10	9	4

Solution:

To draw a histogram first construct x-axis and y-axis, where the x-axis represents monthly school fee(in Rs) and y-axis represents the no. of schools. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Question 6. Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily Earnings(in Rs)	450 – 500	500 – 550	550-600	600-650	650-700
No. of Stores	16	10	7	3	1

 Solution:

To draw a histogram first construct x-axis and y-axis, where x-axis represents monthly daily earnings(in Rs) and y-axis represents the no. of stores. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure. 

Chapter 24 Data Handling II (Graphical Representation of Data as Histograms) – Exercise 24.1 | Set 2

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