Question

question 2 what is the median of the data set? 10, 9, 17, 21, 11, 18, 19, 12, 18, 16 a 18 b 15 c 16

Explanation:

Step1: Arrange data in ascending order

9, 10, 11, 12, 16, 17, 18, 18, 19, 21

Step2: Determine the number of data - points

There are \(n = 10\) data - points.

Step3: Use the median formula for even \(n\)

The median for a data - set with \(n\) (even) values is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered values. Here, \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 6\). The 5th value is 16 and the 6th value is 17.

Step4: Calculate the median

Median\(=\frac{16 + 17}{2}=\frac{33}{2}=16.5\approx16\) (if we consider the closest integer among the options).

Answer:

B. 16