Question

The shoe size for all the pairs of shoes in a person’s close are recorded. 7,7,7,7,7,7,7,7,7,7

A. What is the mean?
B. What is the standard deviation?

Answer 1

To find the mean (average) and standard deviation of the given shoe sizes, you can follow these steps:

A. Mean (Average):

The mean is calculated by adding up all the values and then dividing by the number of values.

Mean = (Sum of all values) / (Number of values)

In this case, the sum of all the shoe sizes is:

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 70

And there are 10 values.

Mean = 70 / 10 = 7

So, the mean (average) shoe size is 7.

B. Standard Deviation:

The formula for the standard deviation of a set of values can be quite complex, but for this small dataset with all values being the same, the standard deviation is essentially zero because there is no variability between the values.

In mathematical terms:

Standard Deviation = 0

So, the standard deviation for the given shoe sizes is 0.