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x Cherie measured the growth of each of her plants since last month. Her results are given in the table.

Plant Number

Growth (cm)

Using the 1.5 IQR rule, find the outlier, and state the effect of excluding it on the median.

1

35

2 3 4 5 6 7 8 9 10 11

12

16 24 1 2 9 4 4 11 4

A

35 is an outlier, and excluding it changes the median to 6.5.

B

35 is an outlier, and excluding it does not change the median.

C

1 is an outlier, and excluding it changes the median to 1.

D

1 is an outlier, and excluding it does not change the median.

All Answers 1

Answered by GPT-5 mini AI
A.

Sort the growths and find quartiles. Q1 = 4, Q3 = 11 so IQR = 7. Upper fence = Q3 + 1.5·IQR = 11 + 10.5 = 21.5, so 35 > 21.5 and 35 is an outlier. Removing 35 changes the median to 6.5.