## RD Sharma Class 8 Solutions Chapter 24 Data Handling II (Graphical Representation of Data as Histograms) Ex 24.1

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 24 Data Handling II Ex 24.1

**Question 1.**

**Given below is the frequency distribution of the heights of 50 students of a class :**

**Draw a histogram representing the above data.**

**Solution:**

We represent class intervals along x-axis and frequency along y-axis. Taking suitable intervals along x-axis and y-axis we construct the rectangles as shown in the figure. This is the required histogram.

**Question 2.**

**Draw a histogram of the following data :**

**Solution:**

We represent class-intervals along x-axis and frequency along y-axis. Taking suitable intervals along x-axis andy-axis, we construct rectangles as shown in the figure. This is the required histogram.

**Question 3.**

**Number of workshops organized by a school in different areas during the last five years is as follows :**

**Draw a histogram representing the above data.**

**Solution:**

We represent years along x-axis and number of workshops along y-axis. Taking suitable intervals, we construct rectangles as shown in the figure. This is the required histogram.

**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, 169, 182, 195, 207, 219, 235, 118.**

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

**Solution:**

Highest sample = 235

Lowest sample = 98

Range = 235-98 = 137

Now frequency distribution table will be as under:

We represent class intervals along x-axis and frequency along j’-axis. Taking suitable intervals, we construct a rectangles as shown in the figure. This is the required histogram.

**Question 5.**

**Construct a histogram for the following data:**

**Solution:**

We represent monthly school fee (in Rs) along x-axis and number of schools along y-axis. Taking suitable intervals, we construct rectangles as shown in the figure. This is the required histogram.

**Question 6.**

**Draw a histogram for the daily earnings of 30 drug stores in the following table :**

**Solution:**

We represent daily earnings (in Rs) along x-axis and number of stores along y-axis. Taking suitable intervals, we construct rectangles as shown in the figure. This is the required histogram.

**Question 7.**

**Draw a histogram to represent the following data:**

**Solution:**

We represent monthly salary (in Rs) along x-axis and number of teachers along y-axis. Taking suitable intervals we construct rectangles as shown in the figure. This is the required histogram

**Question 8.**

**The following histogram shows the number of literate females in the age group of 10 to 40 years in a town :**

**(i) Write the age group in which the number of literate female is highest.**

**(ii) What is the class width ?**

**(iii) What is the lowest frequency ?**

**(iv) What are the class marks of the classes ?**

**(v) In which age group literate females are least ?**

**Solution:**

(i) The age group in which the number of literate females is 15-20.

(ii) The class width is 5.

(iii) Lowest frequency is 320.

(iv) The class marks of the classes are

\(\frac { 10+15 }{ 2 }\) = \(\frac { 25 }{ 2 }\) =12.5, similarly other class marks will be 17.5,22.5,27.5,32.5,37.5

(v) The least literate females is in the class 10-15

**Question 9.**

**The following histogram shows the monthly wages (in Rs) of workers in a factory:**

**(i) In which wage-group largest number of workers are being kept ? What is their number ?**

**(ii) What wages are the least number of workers getting ? What is the number of such workers ?**

**(iii) What is the total number of workers ?**

**(iv) What is the factory size ?**

**Solution:**

(i) The largest number of workers are in wage group 950-1000 and is 8.

(ii) The least number of workers are in the wage group 900-950 and is 2.

(iii) Total number of workers is 40 (3 + 7 + 5 + 4 + 2 + 8 + 6 + 5)

(iv) The factory size is 50.

**Question 10.**

**Below is the histogram depicting marks obtained by 43 students of a class :**

**(i) Write the number of students getting highest marks.**

**(ii) What is the class size ?**

**Solution:**

(i) The number of students getting highest marks is 3.

(ii) The class size is 10.

**Question 11.**

**The following histogram shows the frequency distribution of the ages of 22 teachers in a school:**

**(i) What is the number of eldest and youngest teachers in the school ?**

**(ii) Which age group teachers are more in the school and which least ?**

**(iii) What is the size of the classes ?**

**(iv) What are the class marks of the classes?**

**Solution:**

(i) The number of eldest teacher is 1 and the number of youngest teacher is 2.

(ii) The teachers in age group 35-40 is most.

(iii) Size of classes is 5.

(iv) Class marks of class 20-25 is \(\frac { 20+25 }{ 2 }\)= \(\frac { 45 }{ 2 }\) = 22.5

and similarly others will be 27.5, 32.5, 37.5, 42.5, 47.5, 52.5.

**Question 12.**

**The weekly wages of 30 workers in a factory are given:**

**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**

**Mark a frequency table with intervals as 800-810,810-820 and so on, using tally marks.**

**Also, draw a histogram 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?**

**Solution:**

The frequency table will be as given below:

We represent wages (in Rs) along x-axis and number of workers along y-axis. Taking suitable intervals, we construct rectangles as shown in the figure. This is the required histogram.

(i) Maximum workers are in the wage group 830-840.

(ii) Number of workers getting Rs 850 and more are 1 + 3 + 1 + 1 + 4 = 10.

(iii) Number of workers getting less than Rs 850 are 3 + 2 + 1 + 9 + 5 = 20

Hope given RD Sharma Class 8 Solutions Chapter 24 Data Handling II Ex 24.1 are helpful to complete your math homework.

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