## Related questions with answers

Question

Suppose that the largest and smallest value in a data set is omitted. Will the median change? Will the mean change? Explain.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The median will not change. The median is the middle value and it will be unchanged when the smallest and largest data values are removed.

$2, \ 3, \ 5, \ {\color{#c34632}{6}}, \ 8, \ 10, \ 11\rightarrow \text{median is} \ 6$

$3, \ 5, \ {\color{#c34632}{6}}, \ 8, \ 10\rightarrow \text{median is} \ 6$

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