- fx -5 x -2- N -12- If x -6- what is the value of x -A- 12B- 14C- 15D- 18

The correct option is B 14We know x = ∑ fx/ N, where x=Mean of the distribution and N=∑ f Hence, 6=5x + 2/12 ⇒ 5x + 2 = 12 × 6 ⇒ 5x = 72 – 2 = 70 ⇒ x = 14 ...

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Byju's Answer

Standard VIII

Mathematics

Mean of a Grouped Data

∑ fx =5 x +2,...

Question

$\sum$ fx = 5x + 2, $N$ = 12. If $¯ ¯ ¯ x$ = 6, what is the value of $x$ ?

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Solution

The correct option is B 14
We know $¯ ¯ ¯ x$ = $\frac{\sum f x}{N}$ , where $¯ ¯ ¯ x$ =Mean of the distribution and $N = \sum f$
Hence, $6 = \frac{5 x + 2}{12}$
$\Rightarrow 5 x + 2 = 12 \times 6$
$\Rightarrow 5 x = 72 - 2 = 70$
$\Rightarrow x = 14$

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∑fx = 5x + 2, N = 12. If ¯¯¯x= 6, what is the value of x?

The correct option is B 14We know ¯¯¯x = ∑fxN, where ¯¯¯x=Mean of the distribution and N=∑f Hence, 6=5x+212 ⇒5x+2=12×6 ⇒5x=72–2=70 ⇒x=14

$\sum$ fx = 5x + 2, $N$ = 12. If $¯ ¯ ¯ x$ = 6, what is the value of $x$ ?

The correct option is B 14
We know $¯ ¯ ¯ x$ = $\frac{\sum f x}{N}$ , where $¯ ¯ ¯ x$ =Mean of the distribution and $N = \sum f$
Hence, $6 = \frac{5 x + 2}{12}$
$\Rightarrow 5 x + 2 = 12 \times 6$
$\Rightarrow 5 x = 72 - 2 = 70$
$\Rightarrow x = 14$