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# 4.8.3 Mode

The mode, or modal value, is the most popular value in a set of numbers, the one that occurs most often. However, it is not always possible to give the mode as some sets of values do not have a single value that occurs more than each of the others. Like the median, the mode can help us to get a better feel for the set of values. Retailers find the mode useful when they want to know which item to restock first.

## Activity 14

The following list is the number of goals scored by a football team in a series of 18 games:

0, 0, 0, 3, 0, 1, 1, 2, 0, 2, 0, 0, 4, 0, 1, 2, 0, 2

Calculate the mode, median and mean for this list.

### Discussion

Arranging the values in ascending order gives:

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4

The mode (the value that appears most frequently in the list) = 0

The median (here the mean of the two middle numbers) = (0 + 1) ÷ 2 = 0.5

The mean (total of all the goals scored divided by the number of games) = 18 ÷ 18 = 1

This football team would probably prefer us not to quote the mode as their average score during a season as it is zero!