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In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula x¯=a+∑fidi∑fi where a is the assumed mean. a must be one of the mid-points of the classes - Mathematics

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Question

In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula `barx = a + (sumf_i d_i)/(sumf_i)` where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.

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Solution

No, it is not necessary that assumed mean consider as the mid-point of the class interval. It is considered as any value which is easy to simplify it.

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Chapter 13: Statistics and Probability - Exercise 13.2 [Page 161]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.2 | Q 2 | Page 161
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