Question

Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 * 1 point Mean Mode IQR Median

Answer 1

Mean

Explanation:

Given

`Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4`

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets:
`4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4`

Also, the given data are not open-ended.

An open-ended data is as follows:
`1, 2, 3, 4, 5\ or\ more`

Since we do not have any of the above conditions, then the mean is the best center to use.