Question

find the median and mean of the data set below:
21, 50, 34, 18, 48, 37, 23
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Find the Median

First, we need to sort the data set in ascending order. The data set is \(21, 50, 34, 18, 48, 37, 23\). Sorting it gives us: \(18, 21, 23, 34, 37, 48, 50\). Since there are 7 (an odd number) data points, the median is the middle value, which is the 4th value. So the median is \(34\).

Step2: Find the Mean

The mean is calculated by summing all the values and dividing by the number of values. First, we sum the values: \(18 + 21 + 23 + 34 + 37 + 48 + 50\). Let's calculate that: \(18+21 = 39\), \(39+23 = 62\), \(62+34 = 96\), \(96+37 = 133\), \(133+48 = 181\), \(181+50 = 231\). There are 7 values, so the mean is \(\frac{231}{7}=33\).

Answer:

Median = \(34\), Mean = \(33\)