What happens to the mean of the data set
{2, 4, 5, 6, 8, 2, 5, 6} if the number 7 is added to the data set?

A. The mean decreases by 1.
B. The mean increases by 2.
C. The mean increases by 0.25.
D. The mean increases by 0.75

2+4+5+6+8+2+5+6= 38/8 = 4.75

2+4+5+6+8+2+5+6+7 = 45/9 = 5

5 - 4.75= 0.25

C. The mean increased by 0.25

In the given situation, The mean increased by 0.25

A mean in maths is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Given is a data set, {2, 4, 5, 6, 8, 2, 5, 6}, it is asking, what happens to the mean of the data set if the number 7 is added to the data set?

Mean before:

2+4+5+6+8+2+5+6 = 38/8 = 4.75

Mean after:

2+4+5+6+8+2+5+6+7 = 45/9 = 5

The result:

5 - 4.75 = 0.25

Hence, The mean increased by 0.25

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