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Answer the following : Find variance and S.D. for the following set of numbers: 125, 130, 150, 165, 190, 195, 210, 230, 245, 260

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प्रश्न

Answer the following :

Find variance and S.D. for the following set of numbers: 125, 130, 150, 165, 190, 195, 210, 230, 245, 260

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उत्तर

xi `x_"i" - barx` `(x_"i" - barx)^2`
125 – 65 4225
130 – 60 3600
150 – 40 1600
165 – 25 625
190 0 0
195 5 25
210 20 400
230 40 1600
245 55 3025
260 70 4900
`sumx_"i"` = 1900   `sum(x_"i" - barx)^2` = 20000

Here, n = 10

`bar(x) = (sumx_"i")/"n" = 1900/10` = 190

Var (X) = `sigma_x^2 = 1/"n" sum(x_"i" - barx)^2 = 20000/10` = 2000

S.D. = `sigma_x = sqrt("Var(X)")`

= `sqrt(2000)`

= 44.72

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Standard Deviation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Measures of Dispersion - Miscellaneous Exercise 8 [पृष्ठ १९१]

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बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
पाठ 8 Measures of Dispersion
Miscellaneous Exercise 8 | Q II. (6) | पृष्ठ १९१

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