Question

The distribution of file size has a mean of ¯ =3.2 megabytes and a standard deviation of =1.9 megabytes.

Choose the correct interpretation of
=1.9 megabytes.

Answer 1

The correct interpretation is "The size of these 18 files typically varies by about 1.9 megabytes from the mean of 3.2".

The standard deviation from the mean signifies the spread or dispersion of data points around the average value (mean). It provides information about how much variation exists within the data set.

Here,

• mean = 3.2
• standard deviation = 1.9

This means the size of the files varies by about 1.9 megabytes about the mean .