Question

The time, in seconds, is taken by some swimmers in a swimming competition is given belov-
28.75, 31.65, 27.15, 30.62, 31.72 State the median time taken
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Answer 1

$\sf{Answer}$

Step-by-step-explanation:-

Given :-

Time in seconds by swimmers are

• 28.75
• 31.65
• 27.15
• 30.62
• 31.72

To find :-

• Median

Explanation:-

First of all What is median?

• Median is nothing but middle most number .
• For finding median We have to arrange the given data in either in ascending/descending order
• Formulaes for
• If observations are odd or even

Refer attachment

Solution:-

• 28.75, 31.65, 27.15, 30.62, 31.72

Arrange in ascending order :-

27.15 , 28.75 , 30.62 , 31.65 , 31.72

Here observations are odd

no.of observations = 5

Formula :- $\sf\dfrac{n+1}{2}$

$\sf\dfrac{5+1}{2}$

$\sf\dfrac{6}{2}$

$\sf{3}$ rd observation

Here third observation is 30.62

Middle most number is 30.62

So, median is 30.62