Question

Which statement about the data is true? 985, 2, 18, 11, 512, 2, 14, 19, 112, 15

A) both the mean and median are appropriate measures of center.


B) The mean, median, and mode are all appropriate measures of center.


C) The median is the only appropriate measure of center.


D) Both the median and mode are appropriate measures of center.

Answer 1

C) The median is the only appropriate measure of center.

Explanation:

Given data sets:

985, 2, 18, 11, 512, 2, 14, 19, 112, 15

By rearrangement we can determine the mean; the median and the mode; so, we have:

The mean is the summation of all the values divided by the total number of the terms

mean =
`(2 + 2+ 11+14+15+18+19+112+512+985)/(10)`

mean =
`(1690)/(10)`

mean = 169

The median is the middle number is =
`(15+18)/(2)`

=
`(33)/(2)`

= 16.5

The mode is the highest occurring frequency which is = 2

mean> median = 169 > 16.5

For Skewed distribution;

Since the mean is greater than the median ; the best measure of center(measure of central tendency) = median.