Question

question
find the median and mean of the data set below:
42, 23, 23, 49, 13, 5, 13
answer attempt 1 out of 2
median =
mean =
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Explanation:

Step1: Find the Median

First, we need to sort the data set in ascending order. The data set is \( 42, 23, 23, 49, 13, 5, 13 \). Sorting it gives us \( 5, 13, 13, 23, 23, 42, 49 \). Since there are 7 (an odd number) of data points, the median is the middle value, which is the 4th value. So the median is \( 23 \).

Step2: Find the Mean

To find the mean, we sum up all the values and divide by the number of values. The sum of the data set is \( 5 + 13 + 13 + 23 + 23 + 42 + 49 \). Let's calculate that: \( 5 + 13 = 18 \), \( 18 + 13 = 31 \), \( 31 + 23 = 54 \), \( 54 + 23 = 77 \), \( 77 + 42 = 119 \), \( 119 + 49 = 168 \). There are 7 data points, so the mean is \( \frac{168}{7} = 24 \).

Answer:

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