Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

Data: 5, 6, 7, 8, 9. Then 100 is added to the data set.

Add 100 to {5,6,7,8,9} 100

What happens to the median?

  • A

    Decreases

  • B

    Stays at 7

  • C

    Increases slightly (from 7 to 7.5)

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  • D

    Increases dramatically

Explanation

With n=5 median was 7. With n=6 median = (7+8)/2 = 7.5. Median is resistant — small change.

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