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Class 8 RD Sharma Solutions – Chapter 24 Data Handling II (Graphical Representation of Data as Histograms) – Exercise 24.1 | Set 1
  • Last Updated : 19 Apr, 2021

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

Class Interval     140 – 145145 – 150150 – 155155 – 160160 – 165
Frequency81218105

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 – 1515 – 20 20 – 25 25 – 30 30 – 3535 – 40
Frequency309880582950

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 – 199625
1996 – 199730
1997 – 199842
1998 – 199950
1999 – 200065

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 – 1002
100 – 15011
150 – 200 4
200 – 2503

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) 30-6060-9090-120 120-150150-180 180-210210-240
No. of Schools51214181094

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 – 550550-600600-650650-700
No. of Stores1610731

 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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