Question
Construct a frequency table for the following weights $($in $gm)$ of $35$ mangoes using the equal class intervals, one of them is $40-50$ ($45$ not included):
$30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42,$
$ 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68$.
$i.$ What is the class mark of the class interval $40-45$?
$ii.$ What is the range of the above weights?
$iii.$ How many classes are there?

Answer

​​​The frequency table for the given weights $($in $gm)$ of $35$ mangoes is given below:

$i.$ Class mark for the class interval $40-45$:
Class mark $=\frac{40+45}{2}=\frac{85}{2}=42.5$
$ii.$ Range of the above weights:
Range $=$ Highest value $-$ Lowest value
$= 74 - 30$
$= 44$
$iii.$ There are $5$ classes $(30-40, 40-50, 50-60, 60-70, 70-80).$

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