The mean of the following distribution is- array - c - c -lend array A- 15-6B- 14-2C- 16D- 12-5

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Arithmetic Mean

The mean of t...

Question

The mean of the following distribution is:

$\begin{matrix} x_{i} & 15 & 10 & 12 & 20 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$

15.6

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14.2

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12.5

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Solution

The correct option is B
14.2

Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations. So,
$mean = \frac{\sum x_{i} f_{i}}{\sum f_{i}}$
So,
$\sum x_{i}$ $f_{i}$

= 30 + 50 + 84 + 120 = 284
and
$\sum f_{i} = 20$
So,
$mean = \frac{\sum x_{i} f_{i}}{\sum f_{i}} = \frac{284}{20} = 14.2$

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The mean of the following distribution is: xi15101220fi2576

The correct option is B 14.2 Average or mean value of a given number of observations is the sum of all the observations divided by the total number of observations. So, mean=∑xifi∑fi So, ∑xifi = 30 + 50 + 84 + 120 = 284 and ∑fi=20 So, mean=∑xifi∑fi=28420=14.2

The mean of the following distribution is:

$\begin{matrix} x_{i} & 15 & 10 & 12 & 20 f_{i} & 2 & 5 & 7 & 6 \end{matrix}$