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Average

The weights o...

Question

The weights of $40$ students of class VIII are given below :
Weight (kg)
$38$
$40$
$41$
$43$
$45$
$48$
No. of students
$3$
$8$
$9$
$7$
$6$
$7$
Find the mean weight.

40.75

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41.75

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42.75

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43.75

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Solution

The correct option is B $42.75$ kg
Mean $= \frac{\sum_{1}^{6} (weight of boys \times number of boys)}{\sum_{1}^{6} number of boys}$
Therefore, mean $= \frac{114 + 320 + 369 + 301 + 270 + 336}{40}$
$= \frac{1710}{40}$
$= 42.75$ kg
Therefore, mean weight is $42.75$ kg.

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Weight (kg.)	$35$	$36$	$38$	$40$	$42$	$44$	$45$
Number of students	$6$	$5$	$8$	$9$	$2$	$7$	$4$

The weight of 10 students (in kg) are
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The median weight is
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(b) 41 kg
(c) 42 kg
(d) 44 kg

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Weight (kg)	$38$	$40$	$41$	$43$	$45$	$48$
No. of students	$3$	$8$	$9$	$7$	$6$	$7$