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In the formula x¯=a+h(∑fiui∑fi), for finding the mean of grouped frequency distribution ui = ______. - Mathematics

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Question

In the formula  `barx=a+h((sumf_iu_i)/(sumf_i))`, for finding the mean of grouped frequency distribution ui = ______.

Options

  • `(x_i+a)/h`

  • h(xi - a)

  • `(x_i-a)/h`

  • `(a-x_i)/h`

MCQ
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Solution

In the formula  `barx=a+h((sumf_iu_i)/(sumf_i))`, for finding the mean of grouped frequency distribution ui = `(x_i-a)/h`.

Explanation:-

It is given that  `barX = A +h (1/Nsumf_iu_i)`.
This is the formula to find mean of any data by step deviation method.
Here,

`u_i=(x_i-a)/h`

Where xi are the mid values, A is assumed mean and h is class size .

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Chapter 15: Statistics - Exercise 15.8 [Page 68]

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RD Sharma Mathematics [English] Class 10
Chapter 15 Statistics
Exercise 15.8 | Q 37 | Page 68
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