Sum Of Deviations Of The Variable Y From Its Mean Is Always Equal To _____?

Sum of deviations of the variable Y from its mean is always equal to _____?

Same
One
Zero
Negative

Explanation

The sum of deviations of a variable Y from its mean is always equal to Zero.

This is because deviations are calculated as Y, and their sum always cancels out to zero.

Related MCQs

If the point is (a,−a), then it lies on which line?

y=x
y=−x
y=a
x=a

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Find the sum: 2×1^2 +4×2^2 +6×3^ +⋯+20×10^2

76,440
77,000
77,440
6050

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Explanation

Given:

2 \times 1^^{2} + 4 \times 2^^{2} + 6 \times 3^^{2} + \dots + 20 \times 1 0^2

Write the terms as:

2 (1^^{3}) + 2 (2^^{3}) + 2 (3^^{3}) + \dots + 2 (1 0^^{3})

= 2 (1^^{3} + 2^^{3} + 3^^{3} + \dots + 1 0^^{3})

Using the formula:

1^3+2^3+cdots+n^3=left[frac{n(n+1)}{2}right]^2

For $n = 10$ :

= 2 [10 ( 11 )/2]^^{2}

= 2 (55)^^{2}

= 2 \times 3025

6050

$Last updated 27-07-2026 by NA$

If x+y=16 and x−y=3, then x^2 −^ 2 =?

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Explanation

Given:

$x + y = 16$
$x-y=3$

Using the identity:

$x^{2} - y^{2} = (x + y) (x - y)$ $= 16 \times 3$

$= 48$

$Last updated 27-07-2026 by NA$

If y is directly proportional to x and x = 2, y = 5, then find y when x = 7?

15
35/2
25/2
None of these

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The volume of a cube is 275. The length of one side of the cube is?

∛275
275²
275 ÷ 3
None of these

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