In the formula $\bar{X} = a + h (\frac{1}{N} Σ f_{i} u_{i})$ , for finding the mean of grouped frequency distribution $u_{i}$ =
(a) $\frac{x_{i} + a}{h}$ (b) $h (x_{i} - a)$ (c) $\frac{x_{i} - a}{h}$ (d) $\frac{a - x_{i}}{h}$

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Solution

It is given that .
This is the formula to find mean of any data by step deviation method.

Here,
$u_{i} = \frac{x_{i} - A}{h} Where x_{i} are the mid values, A is assumed mean and h is class size .$
Hence, the correct answer is option (c).

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Similar questions

¯ x = a + h (\frac{\sum f_{i} u_{i}}{\sum f_{i}}),

u_{i}

\frac{x_{i} + a}{h}

x_{i} + a

\frac{x_{i} + a}{h}

\frac{a - x_{i}}{h}

X = A + \frac{\sum f_{i} u_{i}}{\sum f_{i}} \times h g

u_{i} = . . . . . . . . . . . . . . . .

\sum f_{i} u_{i} = - 50,

n = 100,

c = 10

¯ ¯ ¯ x = 25,

A

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