Question

The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 53 61 63 72 76 What is the interquartile range of the set of data?

Answer 1

Answer:

(IQR) Interquartile range = 74 - 57 = 17

Step-by-step explanation:

Arrange the data set from least to greatest. (which already is in a least to greatest form)

53, 61, 63, 72, 76

find the median (the middle number)

Median: 63

then find both lower and upper quartile:

Lower quartile: 53 + 61 = 114/2 = 57

Upper quartile: 72 + 76 = 148/2 = 74

Formula for the interquartile range:

(IQR) interquartile range: upper quartile - lower quartile = answer