Question

You have a sample of data with a man of 32 and a variance of 10. If you had a constant of 8 to each score in the data. what would be the new variance?

a. 40
b. 32
c. 18
d. 19
e. none of the above

Answer 1

The new variance will remain 10 after adding a constant of 8 to each score, so the correct answer is 'e. none of the above'.

Step-by-step explanation:

If you have a sample of data with a mean of 32 and a variance of 10, and you add a constant of 8 to each score in the data, the new variance will remain unchanged. Adding a constant to every data point shifts the data set by that constant but does not affect the spread or dispersion of the data, which is what the variance measures. Therefore, the new variance is also 10.

The possible answer choices given (40, 32, 18, 19, none of the above) do not include the correct value of 10, therefore, the correct answer is e. none of the above.