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Question

Calculate arithmetic mean salary from the following frequency distribution

X(Rs.in 000)10-2020-3030-4040-5050- 6060- 70
Y(Frequency)236522

A
352
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B
36
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C
35.5
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D
39
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Solution

The correct option is A 352
X 10-20 20-30 30-40 40-5050-60 60-70
Y 2 3 6 5 5 5
Class interval mid values (x)f d=x-35 fd
10-20 15 2 -20 -40
20-30 25 3 -10 -30
30-40 35 6 0 0
40-50 45 5 10 50
50-60 55 2 20 40
60-70 65 2 30 60
Total 22 80
¯¯¯x=A+fdN=35+(80)32=38.6
Given Cups =400
12% were broken
12% of 400=12100×400=48
48 cups were broken
In good condition =40048=352


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