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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(x_i - 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 = `underlinebb((x_i - a)/h)`.

Explanation:

According to the question,

`barx = a + h((sumf_iu_i)/(sumf_i))`

Above formula is a step deviation formula.

In the above formula,

xi is data values,

a is assumed mean,

h is class size,

When class size is same we simplify the calculations of the mean by computing the coded mean of u1, u2, u3 …..,

Where ui = `(x_i - a)/h`

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Chapter 13: Statistics and Probability - Exercise 13.1 [Page 157]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.1 | Q 4 | Page 157
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