A teacher records the number of credit hours taken by 15 of his students and com
ID: 3056403 • Letter: A
Question
A teacher records the number of credit hours taken by 15 of his students and computes their mean and median. When he double checks his work, he finds out that the smallest value was misrecorded. It was recorded as 8 and should have been 12. 12 hours remains the smallest value. When he changes the old value to 12, what happens to the mean and median?
The mean is unchanged and the median decreases greatly.
The mean increases greatly and the median decreases greatly.
The mean decreases greatly and the median is unchanged.
The mean increases greatly and the median is unchanged.
The mean is unchanged and the median increases greatly.
The mean increases greatly and the median increases greatly.
A.The mean is unchanged and the median decreases greatly.
B.The mean increases greatly and the median decreases greatly.
C.The mean decreases greatly and the median is unchanged.
D.The mean increases greatly and the median is unchanged.
E.The mean is unchanged and the median increases greatly.
F.The mean increases greatly and the median increases greatly.
Explanation / Answer
Median is resistant to the minimum or maximum values. Hence, it will be unchanged whereas mean will increase because the total sum of numbers will increase.
Option D is correct.
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