Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.

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Question

Find the median of the following data: 13, 15, 18, 14, 22, 42, 9, 6, 15, 21.

Options:

A . 14

B . 15

C . 16

D . 17

Answer: Option B
:
B
Median is the middle observation of the given data, when arranged in either ascending or descending order.
Arrangingthe observations in ascending order, we get
6, 9, 13 , 14, 15, 15, 18, 21, 22, 42
Since, there are even number of observations.
Now median,
= Average of (

\frac{n}{2}

)^thobservation and

(\frac{n}{2} + 1)

^thobservation
=

\frac{5^{t h} t e r m + 6^{t h} t e r m}{2}

=

\frac{15 + 15}{2}

= 15
Thus, median of the given data is 15.

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