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03/07/2021 11:20 am
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The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Literacy rate (in %) - Number of cities
45 - 55 → 3
55 - 65 → 10
65 - 75 → 11
75 - 85 → 8
85 - 98 → 3
1 Answer
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03/07/2021 11:22 am
Find the midpoint of the given interval using the formula.
Midpoint (xi) = (upper limit + lower limit)/2
In this case, the value of mid-point (xi) is very large, so let us assume the mean value, A = 70 and class interval is h = 10.
So, ui = (xi-A)/h = ui = (xi-70)/10
Substitute and find the values as follows:
So, Mean = x̄ = A+(∑fiui /∑fi)×h
= 70+(-2/35)×10
= 69.42
Therefore, the mean literacy part = 69.42