Question

what effect will the outlier have on the median of the data if the outlier is excluded? 2, 2, 2, 2, 8, 2, 24 increases does not change decreases insufficient information to conclude first increase and then decreases

Explanation:

Step1: Order original data set

$2, 2, 2, 2, 8, 24$

Step2: Find original median

For $n=6$, median = $\frac{2+2}{2} = 2$

Step3: Remove outlier (24), order new set

$2, 2, 2, 2, 8$

Step4: Find new median

For $n=5$, median = $2$

Step5: Compare medians

Original median = New median = 2

Answer:

B. does not change