Question

Find the measures of center—mean, median, and mode—for the given dataset.

10, 17, 11, 24, 12, 7, 15, 17, 20, 5, 11, 21, 16, 17

Answer 1

Mean:

To find the mean (average), we add up all the numbers and divide by the total number of values:

10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17 = 198

There are 14 values in the dataset, so

mean = 198/14 ≈ 14.14

Median:

To find the median, we need to first put the values in order:

5, 7, 10, 11, 11, 12, 15, 16, 17, 17, 17, 20, 21, 24

There are 14 values, so the median is the middle value. In this case, the middle two values are 16 and 17.

median = (16 + 17)/2 = 16.5

Mode:

The mode is the value that appears most frequently in the dataset. In this case, the number 17 appears three times, which is more than any other number.

mode = 17