Question

Find the mean of first seven multiples of 3

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Answer 1

Given:-

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• Find the mean of first seven multiples of 3

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To Find:-

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• In this we have to find the mean of first seven multiples of 3

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STEP BY STEP EXPLANATION:-

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First seven multiplex of 3 are:3 , 6 , 9 , 12 ,15 , 18 and 21

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Sum of the observation

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$\longrightarrow$3 + 6 + 9 + 12 + 15 + 18 + 21 = 84

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Number of observation = 7

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$\sf ∴ Mean = \frac{Sum \: of \: the \: observation}{Number \: of \: the \: observation } = \frac{84}{7} = 12$

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∴ The mean of the first seven multiples of 3 is 12

Answer 2

$\green\bigstar$Answer:

• The mean of first seven multiples of 3 is $\boxed{12}$

$\green\bigstar$Given:

• The first seven multiples of 3.

$\green\bigstar$To find:

• The mean of the first seven multiples of 3.

$\green\bigstar$ Solution:

The first seven multiples are:

$\hookrightarrow$ 3 × 1 = 3

$\hookrightarrow$ 3 × 2 = 6

$\hookrightarrow$ 3 × 3 = 9

$\hookrightarrow$ 3 × 4 = 12

$\hookrightarrow$ 3 × 5 = 15

$\hookrightarrow$ 3 × 6 = 18

$\hookrightarrow$ 3 × 7 = 21

Now, formula for finding the mean of given numbers:

$\rm \: \dfrac{Sum \: of \: all \: observations}{Total \: number \: of \: observations}$

$\hookrightarrow$ Here, the sum of all observations :

3 + 6 + 9 + 12 + 15 + 18 + 21

= $\rm\boxed{84}$

$\hookrightarrow$ Total number of observations :

= $\rm\boxed{7}$

So, by substituting the given values in the formula, we get :

$\rm \: \dfrac{Sum \: of \: all \: Observations}{Total \: number \: of \: Observations}$

$= \rm \dfrac{84}{7}$

$= \: \rm \boxed{12}$

$\therefore$ the mean of first seven multiples of 3 is $\boxed{12}$

$\green\bigstar$ Concepts Used:

• Finding out the first seven multiples of 3

• Using formula for finding out the mean i.e.

$\hookrightarrow$ $\rm \: \dfrac{sum \: of \: all \: observations}{total \: number \: of \: observations\: }$

• Substitution of given values