. Find the mean of the following distribution


Class: Frequency:

3 - 5     5

5 - 7    10

7 - 9    10

9 - 11   7

11 - 13 8

Best Answer

Explanation:

Firstly, construct a table with the four columns: class interval, frequency, mid-value and FX.

Class interval Frequency (f)
3-5 5
5-7 10
7-9 10
9-11 7
11-13 8

Then, compute the middle value for each of the class intervals, by adding the lower and upper limit of the class interval and then dividing the resultant figure by 2.

Then construct the FX column, and for each observation multiply the respective frequency with the middle value.

Make a total of the frequency and fx columns.

 

Class interval Frequency (f) Middle value (X) FX (f*X)
3-5 5 4 20
5-7 10 6 60
7-9 10 8 80
9*11 7 10 70
11-13 8 12 96
Total (Σ) 40   326

The mean is:

distribution

Final answer:

The mean of the distribution is 8.15

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