The mean rate of $5$ numbers is $15$ . If each number is $x$ by $2$ . What will be the new mean?

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Solution

$m e a n = \frac{s u m o f n u m b e r s}{N o . o f n u m b e r s (o b s e r v a t i o n)}$

Given that mean rate of $5$ numbers is $15$ .

No" of numbers $= 5$

mean $= 15$

sum of numbers $= 15 \times 5 = 75$

After each number is multiplied (x) by $2$ then
new sum of numbers $= 75 \times 2$
$= 150$

No" of numbers $= 5$

New mean $= \frac{n e w s u m o f n u m b e r s}{N o . o f n u m b e r s (o b s e r v a t i o n)}$

$= \frac{150}{5}$

New mean $= 30$

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