Question Video: Verifying the Range of a given Data Set Mathematics • 6th Grade

True or False: If the number of goals scored by twelve soccer players in a season is 13, 11, 12, 5, 5, 9, 6, 11, 8, 5, 6, and 19, then the range of the data is 14 goals.

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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.

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