Question

The median of the data 30, 25, 27, 25.8, 29, 35, 38, 28 is-​

Answer 1

Answer:

Ascending order = 25,25.8,,27,28,29,30,35,38

Median (even) =[(n/2)th observation + (n/2+1)th observation]/2

[(8/2)th observation + (8/2+1)th observation]/2

[ 4th observation + 5th observation ] /2

28+29/2=57/2=28.5

Therefore, median is 28.5

Answer 2

Answer:

Median of data of even no of observation

Median of data of even no of observationMean of the n/2 th and the (n/2 + 1) th terms.

Median of data of even no of observationMean of the n/2 th and the (n/2 + 1) th terms.where n if the no of observations

writing the given data in ascending form we get,

25, 25.8, 27, 28, 29, 30, 35, 38

n = 8. { meaning there are 8 nos in the given data}

{n/2} th term = 8/2 = 4th term = 28

{n/2 + 1} th term = 8/2 + 1 = 4 + 1 = 5th term = 29

mean of both the terms is nothing but the average of the two terms you found out

so 28+ 29. = 57/2 = 28.5

2

28.5 is the median of the given data

I hope you are statisfied with the answer