Using mean formula for given frequency, the estimate mean is 17.49 ..
Mean is defined as the ratio of sum of observations by the total number of observations.
we have given the discrete class interval so, first we find out the mid point of intervals and then proceed . Arrange the given data
intervals Mid-point(Xᵢ) frequency(fᵢ) fixi
1 -7 4 6 24
8 -10 9 15 135
11 -15 13 20 26
16-20 18 18 324
21-35 26 10 260
36 - 50 43 8 344
Sum of fᵢ Xᵢ= 24+135+260+260+324+344 =1347
Sum of frequency (fi) = 6+15+20+18+10+8 = 77
Using Mean formula for given frequency data is
Mean = (∑fᵢ Xᵢ )/∑fᵢ= 1347/ 77 = 17.49
Hence, the estimate mean is 17.49 ( around two decimals ) .
To learn more about Mean, refer:
https://brainly.com/question/17210076
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