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20 September, 00:22

When the outliers are removed, how does the mean change?

dot plot with 1 on 18, 2 on 38, 1 on 40, 3 on 44, 1 on 46, 1 on 48

The mean decreases by 2.75.

The mean increases by 2.75.

The mean increases by 3.25.

There are no outliers.

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Answers (1)
  1. 20 September, 00:40
    0
    Step-by-step explanation:

    Let us calculat the average medians first

    Average (mean) : μ=39

    Minimum: 18

    Maximum: 48

    Variance: 99.6666666667

    Standard deviation σ=9.98331942125

    Corrected sample standard deviation s=10.9361784916

    Coefficient of variation cV=0.280414833118

    Signal-to-noise ratio SNR=3.5661451603

    Median: 42

    Outlier - 18

    When we remove 18, the average becomes

    Mean = 43.2

    Setwise:

    Mean of dot plot 1=32

    When outlier removed mean = 39
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