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Question

Compute the mean of the following data, using direct method:
Class0100100200200300300400400500Frequency6108124

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Solution

class interval Fi class mark(Xi) XiFi
0-100 6 50 300
100-200 10 150 1500
200-300 8 250 2000
300-400 12 350 4200
400-500 4 450 1800
40 9800


From above
we can say
begin inline style sum from blank to blank of f i equals 40 end style

stack sum f i X i equals 9800 with blank below a n d space m e a n space left parenthesis x right parenthesis equals fraction numerator begin display style stack sum f i X i with blank below end style over denominator begin display style stack sum X i with blank below end style end fraction equals 9800 over 40 equals 245


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