Question

The median of \[11,18,22,19,10,15,21,7,5\] are
A.\[\dfrac{9}{2}\]
B.\[15\]
C.\[11\]
D.\[18\]

Answer 1

Hint: Median is the middle term of the data when it is arranged in increasing order. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number.

Complete step-by-step answer:
Given data is \[11,18,22,19,10,15,21,7,5\]
Now arrange this data in increasing order
\[\Rightarrow 5,7,10,11,15,18,19,21,22\]
Now to calculate the middle term
Here, total number of terms \[(n)=9\]
Since when the total number of terms are odd,
Then middle term \[=\dfrac{n+1}{2}\]th term
\[\Rightarrow \] middle term \[=\dfrac{9+1}{2}\]th term
\[\Rightarrow \]middle term \[=5\]th term
Thus middle or \[5\]th term in given data is
 Median
Hence, option (b) is correct.

Note: The basic advantage of the median in describing data compared to the mean is that it is not skewed so much by a small proportion of extremely large or small values, and so it may give a better idea of a "typical" value