46, 82, 66, 98, 105, 53\nwhat is the median value of the data set shown?\nchoose 1 answer:\na 66\nb 74\nc…

Explanation:

Step1: Arrange data in ascending order

$46,53,66,82,98,105$

Step2: Determine the position of median

Since there are $n = 6$ (even - numbered) data points, the median is the average of the $\frac{n}{2}$-th and $(\frac{n}{2}+ 1)$-th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Calculate the median

The 3 - rd value is $66$ and the 4 - th value is $82$. Median=$\frac{66 + 82}{2}=\frac{148}{2}=74$

Answer:

B. 74