Question

*Please I need help quickly* Approximate the mean of the frequency distribution 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
30
32
12
20
25
53
49
13
8

Answer 1

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

Answer 2

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

Explanation:

We are given with the following frequency distribution below;

Age Frequency (f) X
`X * 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 8 84.5 676

Total 242 10389

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

Mean =
`(\sum X * f)/(\sum f)`

=
`(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.