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What is the arithmetic mean of all the factors of $24$ ?

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8.5

5.67

7

7.5

answer is D.

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Detailed Solution

We need to find the arithmetic mean of all the factors of

24

.
1, 2, 3, 4, 6, 8, 12, and 24 are the factors of 24.
The observations are 1, 2, 3, 4, 6, 8, 12, 24.
Number of observations is

8

.
The formula of arithmetic mean is

= \frac{Sum of observations}{Number of observations}

.
On substituting the values in the formula, we get

= \frac{1 + 2 + 3 + 4 + 6 + 8 + 12 + 24}{8}

= \frac{60}{8}

= 7.5

Thus, the arithmetic mean of factors of 24 is 7.5.
Therefore, the correct option is 4.

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