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$8.4, 3.1, 1.2, 9.8, 2.2, 5.7$ Find the median:

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Mean, median, mode, and range

Full solution

Q.

8.4, 3.1, 1.2, 9.8, 2.2, 5.7

Find the median:

Arrange Data Set: Arrange the data set in ascending order. $\newline$ To find the median, we first need to sort the numbers from smallest to largest.
Sort Data Set: Sorting the data set. $\newline$ The sorted data set is: $1.2$ , $2.2$ , $3.1$ , $5.7$ , $8.4$ , $9.8$
Determine Median Position: Determine the position of the median. Since there are $6$ numbers in the data set, the median will be the average of the $3$ rd and $4$ th numbers.
Calculate Median: Calculate the median. $\newline$ The $3$ rd number is $3.1$ and the $4$ th number is $5.7$ . The median is the average of these two numbers: $(3.1 + 5.7) / 2$
Perform Calculation: Perform the calculation. $\newline$ Median = $(3.1 + 5.7) / 2 = 8.8 / 2 = 4.4$

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