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Standard IX
Mathematics
Properties of Measures of Central Tendency
The arithmeti...
Question
The arithmetic mean of a group of
75
observations was calculated as
27
. It was later found that one observation was wrongly read as
43
instead of the correct value
53
. Obtain the correct arithmetic mean of the data.
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Solution
Number of observations=
75
Mean=
27
Sum of observations=
75
×
27
Wrong value=
43
, Correct value=
53
∴
Correct sum=
75
×
27
−
43
+
53
=
75
×
27
+
10
Correct mean=
75
×
27
+
10
75
=
27
+
10
75
=
27.133
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