Consider the frequency distribution of the given number V a l u e : 1 2 3 4 F r e q u e n c y : 5 4 6 f If the mean is known to be 3, then the value of f is Options: A . &nbsp3 B . &nbsp7 C . &nbsp10 D . &nbsp14

Answer: Option D : D M e a n = 1 × 5 + 2 × 4 + 3 × 6 + 4 × f 15 + f i . e . , 3 = 5 + 8 + 18 + 4 f 15 + f ⇒ 45 + 3 f = 31 + 4 f ⇒ 45 − 31 = f ⇒ f = 14

Consider the frequency distribution of the given number Value:1234Frequency:546f

Question

Consider the frequency distribution of the given number

\begin{matrix} V a l u e : & 1 & 2 & 3 & 4 F r e q u e n c y : & 5 & 4 & 6 & f \end{matrix}

If the mean is known to be 3, then the value of f is

Options:

A . 3

B . 7

C . 10

D . 14

Answer: Option D
:
D

M e a n = \frac{1 \times 5 + 2 \times 4 + 3 \times 6 + 4 \times f}{15 + f}

i . e ., 3 = \frac{5 + 8 + 18 + 4 f}{15 + f} \Rightarrow 45 + 3 f = 31 + 4 f

\Rightarrow 45 - 31 = f \Rightarrow f = 14

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