If ui - xi - 25-10 - - fi ui-20 and - fi -100- then x is equal to

The correct option is A 27 Mean = a + ∑ f_i u_i/∑ f_i× h , #160; u_i #160; = x_i a/h a = 25 , #160; #160; h = 10, #160; #160; ...

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Step-Deviation Method of Finding Mean

If ui = xi ...

Question

If $u_{i} = \frac{x_{i} - 25}{10}, \sum f_{i} u_{i} = 20$ and $\sum f_{i} = 100$ , then $¯ ¯ ¯ x$ is equal to

27

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Solution

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Similar questions

u_{i} = \frac{x_{i} - 25}{10}, Σ f_{i} u_{i} = 20, Σ f_{i} = 100, then x

¯ 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}

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

n = 100,

c = 10

¯ ¯ ¯ x = 25,

A

For finding the mean by using the formula, $¯ x = A + h (\frac{\sum f_{i} u_{i}}{\sum f_{i}}),$ ,we have $u_{i} = ?$

$(a) \frac{(A - x_{i})}{h} (b) \frac{(x_{i} - A)}{h} (c) \frac{(A + x_{i})}{h} (d) h (x_{i} - A)$

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