Question 02 - In calculating the mean of grouped data- grouped in classes of equal width- we may use the formula- x - a - f i d i - f iwhere- a is the assumed mean- a must be one of the mid - point of classes- Is the last statement correct - Justify your answer-

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Median for Ungrouped Data

Question 02 ....

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Question 02.
In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula,
$¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}$
where, a is the assumed mean, a must be one of the mid - point of classes. Is the last statement correct ? Justify your answer.

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\bar{X} = a + \frac{Σ f_{i} d_{i}}{Σ f_{i}}

{d_{i}}^{'^{s}}

a

For calculating mean of grouped data, the mid point of each class interval is chosen to represent all the observations from that class.

¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}

d_{i}^{'} s

x = \{A + \frac{\sum f_{i} d_{i}}{\sum f_{i}}\}

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