If x is the mean of x 1- x 2- x 3- - x n- then - i-1 nx i-x- -a -1b 0c 1d n-1

(b) 0 If #160;x #160; #160;is #160;the #160;mean #160;of #160;x1, #160;x2, #160;x3, #160;x4,...xn, #160;then #160;we #160;have: #87 ...

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Standard IX

Mathematics

Mean

If x is the m...

Question

If $x$ is the mean of $x_{1}, x_{2}, x_{3}, . . ., x_{n},$ then $\sum_{i = 1}^{n} (x_{i} - x) = ?$
(a) −1
(b) 0
(c) 1
(d) n − 1

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Solution

(b) 0

$I f x is the mean of x_{1}, x_{2}, x_{3}, x_{4, . . .} x_{n,} then we have : \sum_{i = 1}^{n} x_{i} = x O r, \sum_{i = 1}^{n} x_{i} - x = 0$

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Similar questions

Q. Question 13
If

¯ x

represents the mean of n observations

x_{1}, x_{2}, \dots \dots x_{n}

, then value of

\sum_{i - 1}^{n} (x_{i} - ¯ x)

is:

A) -1
B) 0
C) 1
D) n - 1

Choose the correct answer in each of the following questions:
If $¯ x$ is the mean of $x_{1}, x_{2}, x_{y}, \dots x_{n}$ then $\sum_{i = 1}^{n} (x_{i} - ¯ x) = ?$
(a) -1
(b) 0
(c) 1
(d) n-1

Q. If

¯ x

is the mean of the terms

x_{1}, x_{2}, x_{3} \dots x_{n}

and

n \sum i = 1 x_{i} = x_{1} + x_{2} + x_{3} + \dots x_{n}

then the value of

n \sum i = 1 x_{i} - n ¯ x

Q. If

¯ x

is the mean of the terms

x_{1}, x_{2}, x_{3}, . . . x_{n}

and

n \sum i = 1 x_{1} = x_{1}, x_{2}, x_{3} + . . . . . . x_{n}

, then the value of

n \sum i = 1 x_{i} - n ¯ ¯ ¯ x

The mean deviation for n observations $x_{1}, x_{2}, . . . . x_{n}$ from their mean $¯ ¯¯¯ ¯ X$ is given by

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If x is the mean of x1, x2, x3, ..., xn, then ∑i=1n(xi - x) = ? (a) −1 (b) 0 (c) 1 (d) n − 1

(b) 0 If x is the mean of x1, x2, x3, x4,...xn, then we have:∑i=1nxi=x Or,∑i=1nxi-x =0

If $x$ is the mean of $x_{1}, x_{2}, x_{3}, . . ., x_{n},$ then $\sum_{i = 1}^{n} (x_{i} - x) = ?$
(a) −1
(b) 0
(c) 1
(d) n − 1

(b) 0

$I f x is the mean of x_{1}, x_{2}, x_{3}, x_{4, . . .} x_{n,} then we have : \sum_{i = 1}^{n} x_{i} = x O r, \sum_{i = 1}^{n} x_{i} - x = 0$