Question

Find the median of the observations. 62, 67, 82, 75, 71, 77, 63, 91

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Answer 1

Given,

The observations are

62, 67, 82, 75, 71, 77, 63, 91.

To Find,

The median.

Solution,

Here,

No. of observations(n)=8.

After arranging the data in ascending order,

62, 63, 67, 71 , 75, 77, 82 , 91.

Here observe that no. of observations are even i.e., n=8.

Here the median = average of [$\frac{n}{2} , \frac{n}{2}+1.$]th terms

= average of 4th and 5th terms

=$\frac{71+75}{2}$

=$\frac{146}{2}$

=73.

Hence, the median is 73.

Answer 2

Answer = 4.5
= (n+1)/2
= (8+1)/2
= 4.5