Approximate the mean of the grouped data for the ages of the residents of a town. The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18

The mean age of the frequency distribution for the ages of the residents of a town is 43 years.

Step-by-step explanation:

We are given with the following frequency distribution below;

    Age                      Frequency (f)               X                    

    0 - 9                            30                         4.5                   135

   10 - 19                           32                        14.5                  464

   20 - 29                         12                         24.5                 294

   30 - 39                         20                        34.5                 690

   40 - 49                         25                        44.5                1112.5

   50 - 59                         53                        54.5                2888.5

   60 - 69                         49                        64.5                3160.5

   70 - 79                          13                         74.5                968.5

   80 - 89                          8                          84.5                676        

   Total                            242                                              10389      

Now, the mean of the frequency distribution is given by the following formula;

                         Mean =  

                                    =    = 42.9 ≈ 43 approx.

Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years

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