MathematicsWhat is the median for the following observation?5, 8, 6, 9, 11, 4

What is the median for the following observation? $5, 8, 6, 9, 11, 4$

A
$6$
B
$7$
C
$8$
D
None of these

Solution:

The series is first arranged into either ascending or descending order. The formula to calculate median

= {\frac{N + 1}{2}}^{th} term

Of the series where

N

is the number of observations in the series.
Arrange in ascending order

= 4, 5, 6, 8, 9, 11

N = 6

Median = {\frac{6 + 1}{2}}^{th} term = {\frac{7}{2}}^{th} term = 3 . 5^{th} term

\frac{Value of 3^{rd} term + Value of 4^{th} term}{2}

= \frac{(6 + 8)}{2} = \frac{14}{2} = 7

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