The mean of the factors of 10 is :

Question

Accepted Answer

To determine the mean of the factors of 10, we first need to identify all the factors of 10. The factors of 10 are the numbers that divide 10 without leaving a remainder. These factors are:

1, 2, 5, and 10.

Next, we calculate the mean (average) of these factors. The mean is found by adding all the factors together and then dividing by the number of factors.

1. Add the factors: 1 + 2 + 5 + 10 = 18
2. Count the number of factors: There are 4 factors (1, 2, 5, and 10).
3. Divide the sum by the number of factors to find the mean: 18 ÷ 4 = 4.5

Therefore, the mean of the factors of 10 is 4.5, which corresponds to Option 2.

Explanation of why other options are incorrect:

1. Option 1 (4): This option is incorrect because the calculation of the mean (18 ÷ 4) results in 4.5, not 4. Therefore, Option 1 does not accurately represent the mean of the factors of 10.

2. Option 3 (5): This option is incorrect because the mean of the factors is 4.5, not 5. The calculation clearly shows that dividing the sum of the factors (18) by the number of factors (4) results in 4.5.

3. Option 4 (5.5): This option is incorrect because the mean of the factors is 4.5, not 5.5. The arithmetic calculation confirms that the correct mean is 4.5.

In conclusion, the correct answer is Option 2, as the mean of the factors of 10 is indeed 4.5.