Question

Data Set A has a mean of 215 and a standard deviation of 35. Data Set B has a mean of 400 and a standard deviation of 12.

Which data set is more spread out?

Answer 1

Data set A

Explanation:

Data set A is the one that is more spread out.

The mean is the same as the average of a given sample. It is usually a measure of the central tendency of a data set.

Standard deviation is a measure of the spread of a given set of data.

• The lower the value of the standard deviation, the more clustered around the mean a data is.
• Data is spread out if it has a higher value of standard deviation.

Since data set A has a standard deviation of 35, it the most spread out.