Math, asked by lalith387, 11 months ago

the mean of ungrouped data and the mean calculated when the same data is grouped are always the same do you agree with this statement give reason for the answer​

Answers

Answered by amitnrw
23

Mean is always same if grouping is Done according to existing value and may not be same if grouped for a range

Step-by-step explanation:

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 = 32/10 = 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 = 32/10 = 3.2 = 3.2

Here Mean can be same or not

Learn more:

Following is grouped data for duration of fixed deposits of 100 senior ...

https://brainly.in/question/12458519

Answered by jenasudam950
6

Answer:

the mean of ungrouped data observation are taken by actual observation

where as while calculating grouped data the observation is the class mark.

Therefore the mean will not be same.

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