A data set contains 1, 2, 2, 3 and 19, and its range is 18. Which statements about what this range tells us are true? Select all that apply.
The range of 18 is a kind of average for this data set.
The range of 18 measures how far apart the extreme values are.✓Correct answer
The range of 18 shows that a usual value is about 18.
A value of 18 is not typical of this data set, since four of the five values are 3 or less.✓Correct answer
The range of 18 tells us how many values the data set contains.
Explanation
The range subtracts the smallest value from the largest, so 19 - 1 = 18 reports how wide the data are rather than what a usual value looks like, and four of the five values here sit at 3 or below. Reading 18 as typical treats a measure of spread as though it were an average, yet nothing near 18 appears in the set apart from the single largest value.