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

1 answer

Mean:
To find the mean, add up all of the values in the dataset and divide by the number of values:

(10 + 17 + 11 + 24 + 12 + 7 + 15 + 17 + 20 + 5 + 11 + 21 + 16 + 17) ÷ 14 = 15.214...

The mean is approximately 15.21.

Median:
To find the median, first put the data in order by magnitude:

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

Since there are an even number of values in the dataset, the median is the average of the two middle values, which are 15 and 16:

(15 + 16) ÷ 2 = 15.5

The median is 15.5.

Mode:
To find the mode, look for the value that appears most often in the dataset:

The number 17 appears three times, which is more than any other value. Therefore, the mode is 17.