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The mean of the data : 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, is it correct to say that the mean of the data: 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10? Give reason.

Solution:

It is given that

Mean of the data 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5

By arranging it in ascending order

1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 9 -------->(1)

We have to find if the mean of the data 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10

By arranging it in ascending order

2, 4, 6, 8, 8, 10, 10, 10, 10, 12, 12, 12, 12, 16, 18-------->(2)

The 2nd data is obtained by multiplying each observation of 1st data by 2

Here the mean will be twice the mean of the first data.

Therefore, it is correct.

✦ Try This: In a sample study of 532 people, it was found that 412 people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is :

It is given that

Total number of people in sample study n(S) = 532

Number of people who have a high school certificate n(E) = 412

We know that

Probability that the person has a high school certificate P = n(E)/ n(S)

Substituting the values

= 412/532

= 0.77

Therefore, the probability that the person has a high school certificate is 0.77.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.2 Sample Problem 1

The mean of the data : 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, is it correct to say that the mean of the data: 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10? Give reason.

Summary:

The mean of the data 2, 8, 6, 5, 4, 5, 6, 3, 6, 4, 9, 1, 5, 6, 5 is given to be 5. Based on this information, it is correct to say that the mean of the data 10, 12, 10, 2, 18, 8, 12, 6, 12, 10, 8, 10, 12, 16, 4 is 10

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