Math, asked by rani6431, 1 month ago

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

Answered by angeleena261
3

Answer:

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Step-by-step explanation:

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Answered by RvChaudharY50
1

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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