find q2 of the following data set.\n3, 9, 12, 4, 6, 40, 25, 14, 10\n\na. 5\nb. 10\nc. 19.5\nd. 14.5

Answer:

B. 10

Explanation:

Step1: Sort the data set

$3,4,6,9,10,12,14,25,40$

Step2: Determine the position of Q2

Since there are $n = 9$ data - points, and for the median (Q2) of a data - set with $n$ data points (where $n$ is odd), the position is $\frac{n + 1}{2}=\frac{9+1}{2}=5$.

Step3: Find Q2

The 5th value in the sorted data set is 10. So Q2 = 10.