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The following table shows the frequency table of literacy rate (in percentage) of
35 cities. Find the mean literacy rate by assumed mean method:
Literacy rate (in percentage) 45 - 55 55-65 65-75 75-8585-98
Number of cities
3 10 11
Take 70 as the assumed mean. Find mean up to two places of decimal.
Answers
Step-by-step explanation:
Given The following table shows the frequency table of literacy rate (in percentage) of 35 cities. Find the mean literacy rate by assumed mean method: Literacy rate (in percentage) 45 - 55 55-65 65-75 75-8585-98
Number of cities 3 10 11 Take 70 as the assumed mean. Find mean up to two places of decimal.
Literacy rate Number of (fi) Class mark(xi) xi – 70 ui = xi – 70/10 fiui
cities
45-55 3 45 + 55/2 = 50 50 – 70 = -20 -20/10 = -2 3x-2=-6
55-65 10 55 + 65/2 = 60 60 – 70 = -10 -10/10 =-1 10x-1 =-10
65-75 11 65 + 75/2 = 70 70-70 = 0 0/10 = 0 11 x 0 = 0
75-85 8 75 + 85/2 = 80 80 - 70 = 10 10/10 = 1 8 x 1 = 8
85-95 3 85 + 75/2 = 90 90 – 70 = 20 20/10 = 2 3 x 2 = 6
So ∑ fi = 40 ∑fiui = - 2
- So Mean = a + h x ∑fiui / ∑fi now a = assumed mean = 70
- Also h = class interval = 55 – 45 = 10
- Also ui = xi – a/ h
- Now ∑fi = 35 and ∑fiui = - 2
- So Mean = 70 + 10 x – 2/35
- = 70 – 20 / 35
- = 70 – 0.57
- Mean x bar = 69.43
So Mean literacy rate is 69.43 %
Reference link will be
https://brainly.in/question/7657265
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