In the data set below, what are the lower quartile, the median, and the upper quartile? 4, 5, 6, 8, 8, 8 lower quartile = _____ median = _____ upper quartile = _____

Identify Median Calculation: Step 1: Identify the median of the data set 4, 5, 6, 8, 8, 8. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (6 + 8) / 2 = 7.Lower Quartile Data Set: Step 2: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, which is 4, 5, 6. Calculation: The median of 4, 5, 6 is 5.Upper Quartile Data Set: Step 3: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, which is 8, 8, 8. Calculation: The median of 8, 8, 8 is 8.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $4, 5, 6, 8, 8, 8$ $\newline$ lower quartile $=$ $\_\_\_\_$ $\newline$ median $=$ $\_\_\_\_$ $\newline$ upper quartile $=$ $\_\_\_\_$

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Math Problems

Algebra 1

Calculate quartiles and interquartile range

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

4, 5, 6, 8, 8, 8

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify Median Calculation: Step $1$ : Identify the median of the data set $4, 5, 6, 8, 8, 8$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(6 + 8) / 2 = 7$ .
Lower Quartile Data Set: Step $2$ : Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, which is $4$ , $5$ , $6$ . $\newline$ Calculation: The median of $4$ , $5$ , $6$ is $5$ .
Upper Quartile Data Set: Step $3$ : Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, which is $8, 8, 8$ . $\newline$ Calculation: The median of $8, 8, 8$ is $8$ .