Question

the median of 5,7,8,9,11,13 is

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Answer 1

Answer:

the median of the following numbers is 8.333.

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Answer 2

Step-by-step explanation:

Question:-

Find the median of:-

5,7,8,9,11,13

Answer:-

Given : 5,7,8,9,11,13

To find : Find the median of above data.

Process:-

Data arranged in ascending order : 5,7,8,9,11,13

Total number of terms : 6 (even number)

∴ The formula for median of data with even frequency is:-

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

Hence :-

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

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

⇒Median = 3rd term + (7/2) term / 2

⇒ Median = 3rd term + 3.5 (round off to 4) /2

⇒ Median = 3rd term + 4th term /2

⇒ Median = 8 + 9 /2

⇒ Median = 17/2

⇒Median = 8.5 (Ans)

∴ The median of the above data is 8.5 .

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