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Find the median and mean of the data set below:
38,32,27,14,31,50
Median =◻quad Mean =◻

Find the median and mean of the data set below: $\newline$ $38,32,27,14,31,50$ $\newline$ $\text { Median }=\square \quad \text { Mean }=\square$

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Introduction to probability

Full solution

Q. Find the median and mean of the data set below:

\newline

38,32,27,14,31,50

\newline

\text { Median }=\square \quad \text { Mean }=\square

Arrange data in ascending order: To find the median, first arrange the data set in ascending order. $\newline$ Data set in ascending order: $14, 27, 31, 32, 38, 50$ $\newline$ Since there are an even number of data points ( $6$ ), the median will be the average of the third and fourth numbers. $\newline$ Median = $(31 + 32) / 2$
Calculate median: Calculate the median using the formula from Step $1$ . $\newline$ Median = $(31 + 32) / 2 = 63 / 2 = 31.5$
Find sum of data set: To find the mean, sum all the numbers in the data set and then divide by the number of data points. $\newline$ Sum of data set = $14 + 27 + 31 + 32 + 38 + 50$
Calculate sum: Calculate the sum of the data set from Step $3$ . $\newline$ Sum of data set = $14 + 27 + 31 + 32 + 38 + 50 = 192$
Find mean: Divide the sum by the number of data points to find the mean. $\newline$ Mean = $\frac{\text{Sum of data set}}{\text{Number of data points}}$ $\newline$ Mean = $\frac{192}{6}$
Calculate mean: Calculate the mean using the formula from Step $5$ . $\newline$ Mean = $\frac{192}{6} = 32$

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