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jekas [21]
3 years ago
6

*Please I need help quickly* Approximate the mean of the frequency distribution for the ages of the residents of a town.

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
5 0

Answer:

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                    X \times f

     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                  <u>        8        </u>                  84.5         <u>        676        </u>

    Total                      <u>      242      </u>                                  <u>      10389      </u>

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

                          Mean =  \frac{\sum X \times f}{\sum f}

                                     =  \frac{10389}{242}  = 42.9 ≈ 43 approx.

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

Akimi4 [234]3 years ago
5 0

Answer:

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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