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UPSC CDS Math Statistics Questions
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© examsnet.com
Question : 39
Total: 63
The mean and median of 5 observations are 9 and 8 respectively. If 1 is subtracted from each observation, then the new mean and the new median will respectively be
[2016 CDS-I]
8 and 7
9 and 7
8 and 9
Cannot be determined due to insufficient data
Validate
Solution:
Sum of 5 new observations
=
5
×
9
–
5
=
45
–
5
=
40
Therefore, new mean
=
Sum of 5 new observations
5
=
40
5
=
8
Median is the 3rd observation.
Now, 1 is subtracted from each observation.
Therefore, new median
=
8
–
1
=
7
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