Medians and IQRs. For each part, compare distributions (1) and (2) based on the

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Medians and IQRs. For each part, compare distributions (1) and (2) based on the medians and IQRs You do not need to calculate these statistics: simply state how the median and IQRs compare. Make sure to explain your reasoning. (a) (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20 (b) (1)3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9 (c) (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10 (d) (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000 Means and SDs For each part, compare distributions(1) and (2) based on their measures and standard deviations. You do not need to calculate these statistics simply state how the mean and the standard deviations compare, Make sure to explain your reasoning. (a) (1) 3, 5, 5, 5, 8, 11, 11, 11, 13 (2) 3, 5, 5, 5, 8, 11, 13, 20 (b) (1) 20, 0, 0, 0, 15, 25, 30, 30 (2)40, 0, 0, 0, 15, 25, 30, 30 (c) (1) 0, 2, 4, 6, 8, 10 (2) 20, 22, 24, 26, 28, 30 (d) (1) 100, 200, 300, 400, 500 (2) 0, 50, 300, 550, 600

Explanation / Answer

1)a)For data set 1)

IQR=8-4=4

median=6

For data set 2)

IQR=13.5-4=9.5

median=6

median for both sets is same,but IQR s diffrent

b)1)IQR=4.5-1.5=3

median=3

2)IQR=9.5-6.5=3

median=8

IQR is same for both data sets

3)1)

IQR=8-4=4

median=6

2)IQR=8.5-4=4.5

median=7

d)1)IQR=80-5=75

median=50

2)IQR=800-50=750

median=500

median and IQR of data set 2) are 10 times greater than 1)

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