Q4 of 96 Page 157

In the formula for finding the mean of grouped frequency distribution is equal to

Given,

Above formula is a step deviation (shortcut) formula.


Where xi is data values, a is assumed mean and 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


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2

While computing mean of grouped data, we assume that the frequencies are

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If xi’s are the mid - points of the class intervals of grouped data, fi are the corresponding frequencies and is the mean, then is equal to

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The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its

 6

For the following distribution,


the sum of lower limits of the median class and modal class is