Question

find the median and mean of the data set below:
38, 24, 31, 24, 3, 33, 8
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

Sort the data set \(3,8,24,24,31,33,38\).

Step2: Find the median

The median is the middle value. Since there are \(n = 7\) values (odd number of values), the median is the \(\frac{n + 1}{2}\) -th value. \(\frac{7+1}{2}=4\) -th value. The \(4\) -th value in the sorted set \(3,8,24,24,31,33,38\) is \(24\).

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here, \(\sum_{i=1}^{7}x_{i}=3 + 8+24+24+31+33+38=161\) and \(n = 7\). So, \(\bar{x}=\frac{161}{7}=23\).

Answer:

Median = \(24\), Mean = \(23\)