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The scores for 21 students on an exam are summarized in the stemplot below.

A stemplot title exam scores has values 49, 69, 71, 72, 75, 75, 76, 77, 80, 81, 82, 84, 85, 85, 86, 89, 89, 90, 91, 94, 97.

The teacher realizes that a mistake was made and the student whose score was recorded as 49% should have been 69%. If the mistake is corrected, what effect will this have on the mean and median scores?

The mean and median will both increase.
Neither the mean nor the median will change.
The mean will increase but the median will decrease.
The mean will increase but the median will be unchanged.

User Tillda
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1 Answer

3 votes

Answer: the mean will increase but the median will be unchanged

Step-by-step explanation: (I used desmos. Plugging all values in and using functions --> statistics ----> mean/median)

before values:

median- 82

mean- 80.81

After values:

median- 82

mean- 81.76

User Amrin
by
6.8k points