The number of goals scored by 12 soccer players in a season are 13, 11, 12, five, five, nine, six, 11, eight, five, six, and 19. State whether the following statement is true or false. The range of the data is 14 goals.
We can calculate the range of any set of data by subtracting the smallest value from the largest value. Whilst we could find these values from the list by inspection, it is often useful to rewrite the data set in numerical order first. The smallest value in the data set is five. And there are three of these. There are two sixes in the data set. The next lowest value is eight. Continuing our list from smallest to largest, we have 9, 11, 11, 12, 13, and 19. The smallest value is equal to five and the largest value is 19. We can therefore calculate the range by subtracting five from 19. This is equal to 14. The statement in the question said that the range of the data is 14 goals, which is true.