Question

Find the median of 92, 95, 85, 80, 75, 50

Answer 1

Given

Values 92,95,85,80,75 ,50

To Find

We have to find median of the given values

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

92,95,85,80,75,50

Here,Number of observation is 6(even)

First of all convert into ascending order

➞50,75,80,85,92,95

Number of observation is even

Formula for finding median

when the observation is odd = n+1/2

When the observation is even = n/2th term +(n/2+1)th term

So,here the observation is even

Median = n/2th term +(n/2+1)th term/2

Median = (6/2 +6/2+1)th term/2

Median = 3th term +(3+1)th term/2

Median = 3th term +4th term ÷2

Median = 85+80÷2

Median = 165÷2

Median =82.5

Hence,median of the given data is 82.5

Answer 2

$\bf\pink\huge\bold{\underline{\underline{{Question}}}}$

Find the Median of 92,95,85,80,75 ,50.
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$\bf\red\huge\bold{\underline{\underline{{Solution}}}}$

92,95,85,80,75,50

Here,Number of observation is 6(even)

First of all convert into ascending order

➞50,75,80,85,92,95

Number of observation is even

Formula for finding median

when the observation is odd = n+1/2

When the observation is even = n/2th term +(n/2+1)th term

So,here the observation is even

➜ Median = n÷2nd term +(n/2+1)th term÷2

➜ Median = (6÷2 +6÷2+1)th term÷2

➜ Median = 3th term +(3+1)th term÷2

➜ Median = 3rd term +4th term ÷2

➜ Median = 85+80÷2

➜ Median = 165÷2

➜ Median =82.5
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$\bf\huge\bold{\red{\underline{\underline{{Answer}}}}}$
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Hence,median of the given data is 82.5