Measures of Variation Quick Check 4 of 54 of 5 Items Question Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15 (1 point) Responses 13.5 13.5 21.5 21.5 8 8 6.5 6.5

Answer 1

The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1).

To find the quartiles, first we need to arrange the dataset in ascending order: 11, 13, 14, 15, 17, 21, 22, 27.

Q1 is the median of the lower half of the data: 11, 13, 14, 15.
Q1 = (13 + 14) / 2 = 13.5.

Q3 is the median of the upper half of the data: 17, 21, 22, 27.
Q3 = (21 + 22) / 2 = 21.5.

The interquartile range is Q3 - Q1 = 21.5 - 13.5 = 8.

Therefore, the interquartile range of the given dataset is 8. Answer: 8.