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question find the median and mean of the data set below: 22, 9, 3, 24, …

Question

question
find the median and mean of the data set below:
22, 9, 3, 24, 21
answer attempt 1 out of 2
median =
mean =

Explanation:

Step1: Find the Median

First, we need to order the data set from least to greatest. The data set is \(22, 9, 3, 24, 21\). When we order it, we get \(3, 9, 21, 22, 24\). Since there are 5 values (an odd number), the median is the middle value, which is the 3rd value. So the median is \(21\).

Step2: Find the Mean

The mean is calculated by summing all the values and then dividing by the number of values. The sum of the data set is \(3 + 9 + 21 + 22 + 24\). Let's calculate that: \(3 + 9 = 12\), \(12 + 21 = 33\), \(33 + 22 = 55\), \(55 + 24 = 79\). There are 5 values, so the mean is \(\frac{79}{5} = 15.8\).

Answer:

Median = \(21\)
Mean = \(15.8\)