Question

Find the median of 61,62,65,66,68,70,74,75

Answer 1

Step-by-step explanation:

given data in acsending order:61,62,65,66,68,70,74,75

middle observation:4&5

median of the data:66,68

Answer 2

The median of the given data is 67.

Step-by-step explanation:

Arrange the given data in ascending order:

61, 62, 65, 66, 68, 70, 74, 75

Here, n = 8 (even)

To find, the median of the given data = ?

We know that,

Median (even) = Mean of $\dfrac{n}{2}th and (\dfrac{n}{2}+1)th$ observations

= Mean of $\dfrac{8}{2}th and (\dfrac{8}{2}+1)th$ observations

= Mean of 4th and 5th term

= $\dfrac{66+68}{2}$

$= \dfrac{134}{2}$

= 67

Thus, the median of the given data is 67.