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Standard VIII

Mathematics

Medians of a Triangle and the Drawing Method

If the aithme...

Question

If the aithmetic mean of $6$ , $8$ , $5$ , $7$ , $x$ and $4$ is $7$ , then $x$ is

12

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6

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8

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4

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Solution

The correct option is A $12$
Given observations: $6, 8, 5, 7, x, 4$
Mean = $\frac{S u m}{N u m b e r o f o b s e r v a t i o n s}$
Mean = $\frac{6 + 8 + 5 + 7 + x + 4}{6}$
$7 = \frac{30 + x}{6}$
$42 = 30 + x$
$x = 12$

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Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
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If the aithmetic mean of 6,8,5,7,x and 4 is 7, then x is

The correct option is A 12Given observations: 6,8,5,7,x,4Mean = SumNumber of observations Mean = 6+8+5+7+x+467=30+x642=30+xx=12

If the aithmetic mean of $6$ , $8$ , $5$ , $7$ , $x$ and $4$ is $7$ , then $x$ is

The correct option is A $12$
Given observations: $6, 8, 5, 7, x, 4$
Mean = $\frac{S u m}{N u m b e r o f o b s e r v a t i o n s}$
Mean = $\frac{6 + 8 + 5 + 7 + x + 4}{6}$
$7 = \frac{30 + x}{6}$
$42 = 30 + x$
$x = 12$