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Compute the mean deviation about mean from the following data: Class Interval: 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 Frequency (f) 3 5 12 6 4 - Business Mathematics and Statistics

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प्रश्न

Compute the mean deviation about mean from the following data:

Class Interval: 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25
Frequency (f) 3 5 12 6 4
बेरीज

उत्तर

C.I. X f fX |D| = `|"X" - bar"X"|`
= |X − 13|
f|D|
0 - 5 2.5 3 7.5 10.5 31.5
5 - 10 7.5 5 37.5 5.5 27.5
10 - 15 12.5 12 150.0 0.5 6.0
15 - 20 17.5 6 105.0 4.5 27.0
20 - 25 22.5 4 90.0 9.5 38
    N = ∑f = 30 ∑fX = 390   ∑f|D| = 130

Mean = `bar"X" = 390/30` = 13

Mean deviation about Mean = `(sum"f" |"D"|)/"N" = 130/30` = 4.33

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Measures of Dispersion
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Descriptive Statistics and Probability - Exercise 8.1 [पृष्ठ १९५]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 8 Descriptive Statistics and Probability
Exercise 8.1 | Q 14 | पृष्ठ १९५
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