Pls answer the question no 2..
Dear Student
The mean of ungrouped data and the mean calculated when the same data is grouped are always the same if grouping is Done for all existing values
Example
Ungrouped data 1 , 1 , 2 , 3 , 3 , 3 , 4 , 5 , 5 , 6
Total Data = 10 Sum = 33 Mean = 3.3
Grouped data -
1 2 2
2 1 2
3 3 9
4 1 4
5 2 10
6 1 6
10 33
Mean = 3.3
the mean of ungrouped data and the mean calculated when the same data is grouped are not always the same if grouping is Done for range
Now if same data is grouped in range
1 - 3 2 6 12
4 - 6 5 4 20
10 32
Mean = = 3.2 ≠ 3.3
Now if i change data 1 , 1 , 2 , 2 , 3 , 3 , 4 , 5 , 5 , 6
Mean = 3.2
1 - 3 2 6 12
4 - 6 5 4 20
10 32
Mean = = 3.2 = 3.2
Here Mean can be same or not
Regards
The mean of ungrouped data and the mean calculated when the same data is grouped are always the same if grouping is Done for all existing values
Example
Ungrouped data 1 , 1 , 2 , 3 , 3 , 3 , 4 , 5 , 5 , 6
Total Data = 10 Sum = 33 Mean = 3.3
Grouped data -
1 2 2
2 1 2
3 3 9
4 1 4
5 2 10
6 1 6
10 33
Mean = 3.3
the mean of ungrouped data and the mean calculated when the same data is grouped are not always the same if grouping is Done for range
Now if same data is grouped in range
1 - 3 2 6 12
4 - 6 5 4 20
10 32
Mean = = 3.2 ≠ 3.3
Now if i change data 1 , 1 , 2 , 2 , 3 , 3 , 4 , 5 , 5 , 6
Mean = 3.2
1 - 3 2 6 12
4 - 6 5 4 20
10 32
Mean = = 3.2 = 3.2
Here Mean can be same or not
Regards