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```Chapter 23 Data Handling II (Central Values) Exercise – 23.2

Question: 1

A die was thrown 20 times and the following scores were recorded:

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

Prepare the frequency table of the scores on the upper face of the die and find the mean score.

Solution: Question: 2

The daily wages (in Rs) of 15 workers in a factory are given below:

200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180

Prepare the frequency table and find the mean wage.

Solution: Question: 3

The following table shows the weights (in kg) of 15 workers in a factory:

Weight (in kg):
60
63
66
72
75

Numbers of workers:
4
5
3
1
2

Calculate the mean weight.

Solution: Question: 4

The ages (in years) of 50 students of a class in a school are given below:

Age (in years):
14
15
16
17
18

Numbers of students:
15
14
10
8
3

Find the mean age.

Solution: Question: 5

Calculate the mean for the following distribution:

x:
5
6
7
8
9

f:
4
8
14
11
3

Solution: Question: 6

Find the mean of the following data:

x:
19
21
23
25
27
29
31

f:
13
15
16
18
16
15
13

Solution: Question: 7

The mean of the following data is 20.6. Find the value of p.

x:
10
15
p
25
35

f:
3
10
25
7
5

Solution: Question: 8

If the mean of the following data is 15, find p.

x:
5
10
15
20
25

f:
6
p
6
10
5

Solution: Question: 9

Find the value of p for the following distribution whose mean is 16.6

x:
8
12
15
p
20
25
30

f:
12
16
20
24
16
8
4

Solution: Question: 10

Find the missing value of p for the following distribution whose mean is 12.58

x:
5
8
10
12
p
20
25

f:
2
5
8
22
7
4
2

Solution: Question: 11

Find the missing frequency (p) for the following distribution whose mean is 7.68

x:
3
5
7
9
11
13

f:
6
8
15
p
8
4

Solution: Question: 12

Find the value of p, if the mean of the following distribution is 20

x:
15
17
19
20 + p
23

f:
2
3
4
5p
6

Solution: ```  ### Course Features

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