Question

find the median and mean of the data set below:
29, 41, 41, 7, 40, 2, 1
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Sort the data set

Sort the data set \(1,2,7,29,40,41,41\).

Step2: Find the median

Since there are \(n = 7\) (odd number) data points, 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 \(1,2,7,29,40,41,41\) is \(29\).

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here, \(\sum_{i=1}^{7}x_{i}=1 + 2+7+29+40+41+41=161\) and \(n = 7\). So, \(\bar{x}=\frac{161}{7}=23\).

Answer:

Median = \(29\), Mean = \(23\)