The values \{4, 7, 9, 12, 18\} have a mean of 10 and a median of 9. If a new value of 25 is added to the set, which statement is true?

Both mean and median increase. New mean = (4+7+9+12+18+25)/6 = 75/6 = 12.5 (increased). Median of 6 values = avg of 3rd and 4th = (9+12)/2 = 10.5 (increased).

Mean increases; median decreases.

Mean stays the same; median increases.

Mean increases; median stays the same.

One-Variable Data: Distributions and Measures of Center and Spread

SAT Math· difficulty 3/5

\{4, 7, 9, 12, 18\}

A
$Mean increases; median decreases.$
B
$Mean stays the same; median increases.$
C
$Mean increases; median stays the same.$
D
$Both mean and median increase.$
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Explanation

(4+7+9+12+18+25)/6 = 75/6 = 12.5

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