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In a CBSE examination, 10 students scored the following marks in Mathematics and Science. Calculate the range in each case."

Given: In a CBSE examination, 10 students scored the following marks in Mathematics and Science are given.

To do: To calculate the range in each case.

Solution: 

In Mathematics Case:-

$78,\ 65,\ 92,\ 45,\ 69,\ 98,\ 57,\ 83,\ 90,\ 55$

On arranging in ascending order:

$45,\ 55,\ 57,\ 65,\ 69,\ 78,\ 83,\ 90,\ 92,\ 98$

Here, Minimum limit$=45$

Maximum limit$=98$

Range$=$Maximum limit$-$Minimum limit

$=98-45$

$=53$.

In science Case:

$81,\ 62,\ 82,\ 52,\ 40,\ 92,\ 60,\ 78,\ 77,\ 81$

On arranging in ascending order:

$40,\ 52,\ 60,\ 62,\ 77,\ 78,\ 81,\ 81,\ 82,\ 92$

Minimum limit$=40$

Maximum limit$=92$

Range $=$ Maximum $-$ Minimum

$=92-40$

$=52$

Updated on: 10-Oct-2022

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