stats

The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.

9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58

One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR
rule for outliers, is there evidence to support the student’s claim?

Yes, there are two outliers. One outlier is 9 minutes and the other outlier is 58 minutes.
A

No, there is only one outlier at 9 minutes.
B

No, there is only one outlier at 58 minutes.
C

No, there are three outliers. One outlier is 9 minutes, one outlier is 35 minutes, and one outlier is 58 minutes.
D

No, there are no outliers.
E

C? outlier 58 minutes

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  1. I see both 9 and 58 as outliers, but not 35. If 35 is an outlier, then 17 would also be one. However, 58 is much more of an outlier than 9, so with the choices given, I would also pick 58.

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  2. The Answer is C). No, there is only one outlier at 58 minutes.

    BECAUSE...

    9, 17, 20, 27, 29, 30, 31, 32, 35, 58

    Q1... 20
    Median... 29
    Q3... 32

    IQR... Q3-Q1... 32-20... 12

    Outlier Rule... Q1-(1.5)(IQR) & Q3+(1.5)(IQR)

    (1.5)(IQR)... (1.5)(12)= 18

    20-18= 2
    32+18= 50

    Outliers are any numbers lower than 2 and more than 50!

    :)

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