Question

mean of a raw data is more accurate than the mean of a grouped data .Is the statement true or false .Justify your answer





I need correct please answer it fast​

Answer 1

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

Learn more:

The mean and standard deviation of 20 observations are found to be ...

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Answer 2

The mean of a raw data is more accurate than the mean of a grouped data. This statement is true.

Step-by-step explanation:

Let's consider the data as:

1, 1, 2, 2, 6, 6, 6, 6, 7, 11, 11, 12, 12, 16, 16, 16, 16, 17, 17, 19

Sum = 200

∴ Mean = 200/20 = 10

Let's group the data as:

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

This is because the grouped data gives us approximate mean only.