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What is the median of the numbers $39$ , $29$ , $45$ , $34$ , $39$ , $27$ , $26$ , $25$ , $38$ , $37$ , $29$ $0$ , $27$

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Calculate mean, median, mode, and range

Full solution

Q. What is the median of the numbers

39

,

29

,

45

,

34

,

39

,

27

,

26

,

25

,

38

,

37

,

29

0

,

27

Arrange Data in Ascending Order: Arrange the data set in ascending order. $\newline$ The given data set is: $39, 29, 45, 34, 39, 27, 26, 25, 38, 37, 42, 27$ . $\newline$ Arranged in ascending order: $25, 26, 27, 27, 29, 34, 37, 38, 39, 39, 42, 45$ .
Count Data Points: Determine the number of data points in the set. $\newline$ There are $12$ numbers in the data set.
Calculate Median Position: Calculate the position of the median. Since there is an even number of data points, the median will be the average of the $6^{th}$ and $7^{th}$ numbers.
Identify $6$ th and $7$ th Numbers: Identify the $6^{\text{th}}$ and $7^{\text{th}}$ numbers in the ordered data set. $\newline$ The $6^{\text{th}}$ number is $34$ and the $7^{\text{th}}$ number is $37$ .
Calculate Median: Calculate the median of the data set. $\newline$ The median is the average of the $6$ th and $7$ th numbers: $(34 + 37) / 2 = 71 / 2 = 35.5$

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