 # 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

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