Video Transcript
True or False: If the number of
goals scored by 12 soccer players in a season is 13, 11, 12, five, five, nine, six,
11, eight, five, six, and 19, then the range of the data is 14 goals.
We begin by recalling that the
range of any data set is equal to the highest value minus the lowest value. In this question, we need to find
the highest number of goals scored by one of the 12 soccer players. This is equal to 19. We also need the lowest number of
goals. This will be the smallest number in
our data set. There were three players that
scored five goals. Therefore, the lowest number of
goals is equal to five. We can then calculate the range by
subtracting five from 19. This is equal to 14, and we can
therefore conclude that the statement is true. The range of the data is 14
goals.
It is worth noting that it is often
useful to write our numbers in order from lowest to highest first. In this question, the number of
goals scored by the 12 soccer players from lowest to highest is as follows. Writing our data this way makes it
easier to find the lowest and highest values. And this confirms that the range of
the data is 14 goals.
