Question

Find the median, range, and interquartile range of both sets:

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 56, 1, 29, 72, 67, 59, 74, 60
Which is true about the two sets?
Set 1 has a range of 40 and a median of 85.
Set 2 has a range of 74 and a median of 62.
Both sets have an interquartile range of 27.
Set 2 has data that is closer to its median than Set 1.

Answer 1

c

Explanation:

Answer 2

C) Both sets have an interquartile range of 27.

Explanation:

Sorted data

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 1, 29, 56, 59, 60, 67, 72, 74

Median position: (8+1)/2 = 4.5th value

Ranges:

Set 1: 105 - 65 = 40

Set 2: 74 - 1 = 73

Medians:

Set 1: (79+81)/2 = 80

Set 2: (59+60)/2 = 59.5

IQR:

Set 1: (93+104)/2 - (66+77)/2

= 27

Set 2: (67+72)/2 - (29+56)/2

= 27