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The median of the data $5, 7, 9, 10, 11$ is

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answer is B.

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Detailed Solution

The given data is,

5, 7, 9, 10, and 11

.
We need to find the median of the given data.
The median of observation is the middle number after arranging the observations in ascending order.
Arranging the data in ascending order:

5, 7, 9, 10, 11

Here the total number of observations

(n)

5

.
When

n

is odd,

Median = (\frac{n + 1}{2})^{th} term

\Rightarrow Median = (\frac{5 + 1}{2})^{th} term

\Rightarrow Median = (\frac{6}{2})^{th} term

\Rightarrow Median = (3)^{rd} term

The third term is

9

.
Thus the median of the given data is

9

.
Hence, the correct option is 2.

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