QuestionAugust 24, 2025

Find the median and mean of the data set below: 44,8,30,40,36

Find the median and mean of the data set below: 44,8,30,40,36
Find the median and mean of the data set below:
44,8,30,40,36

Solution
4.1(196 votes)

Answer

Median: 36, Mean: 31.6 Explanation 1. Arrange the data Sort the numbers in ascending order: 8, 30, 36, 40, 44. 2. Calculate the median The median is the middle number. Since there are 5 numbers, the median is the third one: 36. 3. Calculate the mean Use the formula for mean: \text{Mean} = \frac{\sum \text{values}}{\text{number of values}}. Sum of values: 8 + 30 + 36 + 40 + 44 = 158. Number of values: 5. Mean: \frac{158}{5} = 31.6.

Explanation

1. Arrange the data<br /> Sort the numbers in ascending order: $8, 30, 36, 40, 44$.<br />2. Calculate the median<br /> The median is the middle number. Since there are 5 numbers, the median is the third one: $36$.<br />3. Calculate the mean<br /> Use the formula for mean: $\text{Mean} = \frac{\sum \text{values}}{\text{number of values}}$. <br /> Sum of values: $8 + 30 + 36 + 40 + 44 = 158$.<br /> Number of values: $5$.<br /> Mean: $\frac{158}{5} = 31.6$.
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