The mean weight of 25 students in a class is 58 kg. The mean weight of a second class of 29 students is 62 kg. How do you find the mean weight of all the students?

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The mean weight of 25 students in a class is 58 kg. The mean weight of a second class of 29 students is 62 kg. How do you find the mean weight of all the students?

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Answer 1 · 2016-12-15T19:19:04

The mean or average weight of all the students is 60.1 kg rounded to the nearest tenth.

Explanation:

This is a weighted average problem.

The formula for determining a weighted average is:

$w = \frac{(n_{1} \times a_{1}) + (n_{2} \times a_{2})}{n_{1} + n_{2}}$ $color(red)(w = ((n_1 xx a_1) + (n_2 xx a_2))/(n_1 + n_2))$

Where $w$ $w$ is the weighted average,

$n_{1}$ $n_1$ is the number of objects in the first group and $a_{1}$ $a_1$ is the average of the first group of objects.

$n_{2}$ $n_2$ is the number of objects in the second group and $a_{2}$ $a_2$ is the average of the second group of objects.

We were given $n_{1}$ $n_1$ as 25 students, $a_{1}$ $a_1$ as 58 kg, $n_{2}$ $n_2$ as 29 students and $a_{2}$ $a_2$ as 62 kg. Substituting these into the formula we can calculate $w$ $w$ .

$w = \frac{(25 \times 58) + (29 \times 62)}{25 + 29}$ $w = ((25 xx 58) + (29 xx 62))/(25 + 29)$

$w = \frac{1450 + 1798}{54}$ $w = (1450 + 1798)/54$

$w = \frac{3248}{54}$ $w = 3248/54$

$w = 60.1$ $w = 60.1$

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The mean weight of 25 students in a class is 58 kg. The mean weight of a second class of 29 students is 62 kg. How do you find the mean weight of all the students?

1 Answer

Explanation:

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