Question

what is the median of this data set? 14,18,31,34,44,50 a. 31.5 b. 31 c. 32.5 d. 33

Explanation:

Step1: Check number of data points

The data - set 14, 18, 31, 34, 44, 50 has \(n = 6\) data points. Since \(n\) is even.

Step2: Find the two middle values

The middle values are the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data points. \(\frac{n}{2}=\frac{6}{2}=3\) and \(\frac{n}{2}+1 = 3 + 1=4\). The 3rd value is 31 and the 4th value is 34.

Step3: Calculate the median

The median for an even - numbered data set is the average of the two middle values. Median\(=\frac{31 + 34}{2}=\frac{65}{2}=32.5\)

Answer:

C. 32.5