Mean of raw data is more accurate than mean of grouped data. Is the statement is true or false. Justify your answer
Answers
Given : Mean of Raw Data and Grouped Data
To find : Which is more accurate
Solution:
mean of a raw data is more accurate than the mean of a grouped data
Lets take example
Data is
1 , 1 , 2 , 2 , 6 , 6 , 6 , 6 , 7 , 11 , 11 , 12 , 12 , 16 , 16 , 16 , 16 , 17 , 17 , 19
20 Data
Sum = 200
Mean = 200/20 = 10
Group f group mean
1 - 5 4 3 12
6-10 5 8 40
11-15 4 13 52
16-20 7 18 126
20 230
Mean = 230/20 = 11.5
Mean increased from 10 to 11.5
as most of data i considered were on lower side of group
if they have been on upper side then mean have been reduced
if they are normally distributed then there is no impact on Mean
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