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If U I = X I − 25 10 , σ F I U I = 20 , σ F I = 100 , Then ¯¯¯ X - Mathematics

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प्रश्न

If \[u_i = \frac{x_i - 25}{10}, \Sigma f_i u_i = 20, \Sigma f_i = 100, \text { then }\]`overlineX`

विकल्प

  • 23

  • 24

  • 27

  • 25

MCQ

उत्तर

Given: 

\[u_i = \frac{x_i - 25}{10}, \Sigma f_i u_i = 20 \text { and } \Sigma f_i = 100\]

Now,  `u_i = (x_i - A)/h`= \[\frac{x_i - 25}{10}\]

Therefore, h = 10 and A = 25

We know that

`overlineX = A+h{1/N sum f_iu_i}`

     `= 25 + 10{1/100 xx 20}`

    `=25 +10 xx 1/5`

    `=25 + 2`

`overlineX = 27`

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अध्याय 15: Statistics - Exercise 15.8 [पृष्ठ ६८]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 15 Statistics
Exercise 15.8 | Q 34 | पृष्ठ ६८

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