Question

this quiz will test your knowledge on statistical measures. value: 5 what is the median of the following set of data to the nearest tenth? 15.4 4.7 10.6 5.6 8.4 7.9 11.2 10.2 13.1 15.5 6.2 7.4 #8/9 < prev next >

Explanation:

Step1: Sort the data

4.7, 5.6, 6.2, 7.4, 7.9, 8.4, 10.2, 10.6, 11.2, 13.1, 15.4, 15.5

Step2: Determine the position

There are \(n = 12\) data - points. Since \(n\) is even, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th ordered - values. \(\frac{n}{2}=\frac{12}{2}=6\) and \(\frac{n}{2}+1 = 7\).

Step3: Calculate the median

The 6th value is 8.4 and the 7th value is 10.2. Median\(=\frac{8.4 + 10.2}{2}=\frac{18.6}{2}=9.3\)

Answer:

9.3