In this chapter, we provide RD Sharma Class 8 Solutions Chapter 24 Data Handling Ex 24.1 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 24 Data Handling Ex 24.1 pdf, free RD Sharma Class 8 Solutions Chapter 24 Data Handling Ex 24.1 book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 24 |

Chapter Name | Data Handling |

Exercise | Ex 24.1 |

**RD Sharma Class 8 Solutions Chapter 24 Data Handling Ex 24.1** **Download PDF**

**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

10+152 = 252 =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 20+252= 452 = 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

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