Find the average weight of $16$ boys in a class of $50.25$ kgs and that of the remaining $8$ boys is $45.15$ kgs. Find the average weight of all the boys in the class.

47.55

kgs

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48

kgs$

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48.55

kgs

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49.25

kgs

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Solution

The correct option is D $48.55$ kgs
Given
$n_{1} = 16,_{1} = 50.25$
$n_{2} = 8,_{2} = 45.15$
$¯ x = \frac{n_{1}_{1} + n_{2}_{2}}{n_{1} + n_{2}}$
$= \frac{16 \times 50.25 + 8 \times 45.15}{16 + 8}$
$= \frac{804 + 361.2}{24}$
$¯ x = 48.55 k g$

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Find the average weight of 16 boys in a class of 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all the boys in the class.

The correct option is D 48.55 kgsGivenn1=16,¯x1=50.25 n2=8,¯x2=45.15¯x=n1¯x1+n2¯x2n1+n2=16×50.25+8×45.1516+8=804+361.224¯x=48.55kg

Find the average weight of $16$ boys in a class of $50.25$ kgs and that of the remaining $8$ boys is $45.15$ kgs. Find the average weight of all the boys in the class.

The correct option is D $48.55$ kgs
Given
$n_{1} = 16,_{1} = 50.25$
$n_{2} = 8,_{2} = 45.15$
$¯ x = \frac{n_{1}_{1} + n_{2}_{2}}{n_{1} + n_{2}}$
$= \frac{16 \times 50.25 + 8 \times 45.15}{16 + 8}$
$= \frac{804 + 361.2}{24}$
$¯ x = 48.55 k g$