RS Aggarwal solution class 8 chapter 21 Data Handling Exercise 21A

Exercise 21A

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Q1 | Ex-21A | Class 8 | RS AGGARWAL | chapter 21 | Data Handling

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Question 1:

The number of members in 20 families are given below:
4, 6, 5, 5, 4, 6, 3, 3, 5, 5, 3, 5, 4, 4, 6, 7, 3, 5, 5, 7.
Prepare a frequency distribution of the data.

Answer 1:

First, we will arrange the data in increasing order.

3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 7

Frequency table of the above data:
 

Number of members	Tally marks	Number of families (frequency)
3	$\left|\right|\left|\right|$	4
4	$\left|\right|\left|\right|$	4
5	$\cancel{\left|\right|\left|\right|}$ $\left|\right|$	7
6	$\left|\right||$	3
7	$\left|\right|$	2
Total		20

Q2 | Ex-21A | Class 8 | RS AGGARWAL | chapter 21 | Data Handling

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Question 2:

A dice was thrown 30 times and the following outcomes were noted:
2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4.
Prepare a frequency table.

Answer 2:

Arranging the outcomes in increasing order, we get:

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6

Now, we have:

1 was thrown 6 times
2 was thrown 6 times
3 was thrown 4 times
4 was thrown 5 times
5 was thrown 4 times
6 was thrown 5 times

Frequency distribution table of the above data:
 

Number	Tally mark	frequency
1	$\cancel{\left|\right|\left|\right|} |$	6
2	$\cancel{\left|\right|\left|\right|} |$	6
3	$\left|\right|\left|\right|$	4
4	$\cancel{\left|\right|\left|\right|}$	5
5	$\left|\right|\left|\right|$	4
6	$\cancel{\left|\right|\left|\right|}$	5
Total		30

Q3 | Ex-21A | Class 8 | RS AGGARWAL | chapter 21 | Data Handling

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Question 3:

The following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.

Answer 3:

Arranging the dates in ascending order, we get:

0, 0 ,0 , 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,2,2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6

There are:
4 families with no children
7 families with 1 child
12 families with 2 children
5 families with 3 children
6 families with 4 children
3 families with 5 children
3 families with 6 children

The frequency distribution table for the above data can be generated as below:
 

Number of children	Tally mark	Number of families (frequency)
0	$\left|\right|\left|\right|$	4
1	$\cancel{\left|\right|\left|\right|} \left|\right|$	7
2	$\cancel{\left|\right|\left|\right|} \cancel{\left|\right|\left|\right|} \left|\right|$	12
3	$\cancel{\left|\right|\left|\right|}$	5
4	$\cancel{\left|\right|\left|\right|}$ $|$	6
5	$\left|\right||$	3
6	$\left|\right||$	3
	Total	40