Calculate mean deviation from mean for the following frequency array. X 10 20 30 40 50 60 Frequency 8 12 20 10 6 4
Answers
Answer:
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Step-by-step explanation:
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Solution :-
Finding Mean first,
Xi------Fi-------Xi*Fi
10 ---- 8 ------- 80
20 ----12 -------240
30 ----20 ------600
40 ----10 -------400
50 ---- 6 -------300
60 ---- 4 -------240
⅀Fi=60--⅀FiXi=1860
So,
→ Mean = M = ⅀FiXi/⅀Fi = 1860/60 = 31
now,
Xi------Fi-------|Xi - M| ------- Fi * |Xi - M|
10 ---- 8 --------- 21 -------------- 168
20 ----12 -------- 11 -------------- 132
30 ----20 -------- 1 -------------- 20
40 ----10 --------- 9 -------------- 90
50 ---- 6 --------- 19 -------------- 114
60 ---- 4 --------- 29 -------------- 116
-----⅀Fi=60-------- ⅀Fi|Xi - M|=640
therefore,
→ Mean deviation about Mean = ⅀Fi|Xi - M| / ⅀Fi = 640/60 ≈ 10.67 (Ans.)
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