If ui-xi-2510- - fiui-20- - fi -100- then x -a 23b 24c 27d 25

Given: nbsp; ui=xi 2510, nbsp;Σfiui=20 nbsp;and nbsp;Σfi=100 Now, = xi 2510 Therefore, h = 10 and A = 25 We know that Hence, the correct option i ...

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Fundamental Theorem of Arithmetic

If ui=xi-2510...

Question

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

(a) 23
(b) 24
(c) 27
(d) 25

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Solution

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Similar questions

u_{i} = \frac{x_{i} - 25}{10}, \sum f_{i} u_{i} = 20

\sum f_{i} = 100

¯ ¯ ¯ x

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

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

¯ 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 + h (\frac{\sum f_{i} u_{i}}{\sum f_{i}})

\frac{(A - x_{i})}{h}

\frac{(x_{i} - A)}{h}

\frac{(A + x_{i})}{h}

h (x_{i} - A)

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