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For finding the mean by using the formula, barx = A + h((sumf_iu_i)/(sumf_i)), we have u_i = ?

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Question

For finding the mean by using the formula, `barx = A + h((sumf_iu_i)/(sumf_i))`, we have ui = ?

Options

  • `((A - x_i))/h`

  • `((x_i - A))/h`

  • `((A + x_i))/h`

  • h(xi – A)

MCQ
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Solution

`bb(((x_i - A))/h)`

Explanation:

In the step‑deviation method ui is the class‑mark deviation from the assumed mean A scaled by the class width h, so `u_i = (x_i - A)/h`. Substituting this into `barx = A + h((Σf_iu_i)/(Σf_i))` gives the usual mean.

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Chapter 18: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 900]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 18 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 9. | Page 900
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