In the data set below, what are the lower quartile, the median, and the upper quartile? 4, 5, 6, 6, 6, 8, 8, 8, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set 4, 5, 6, 6, 6, 8, 8, 8, 9, 9. Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. Calculation: (6 + 8) / 2 = 7.Determine lower quartile: Step 2: Determine the lower quartile. The lower quartile is the median of the first half of the data set. First half: 4, 5, 6, 6, 6. Calculation: The middle number is 6.Determine upper quartile: Step 3: Determine the upper quartile. The upper quartile is the median of the second half of the data set. Second half: 8, 8, 8, 9, 9. Calculation: The middle number is 8.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $4, 5, 6, 6, 6, 8, 8, 8, 9, 9$ $\newline$ 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, 6, 6, 8, 8, 8, 9, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set $4, 5, 6, 6, 6, 8, 8, 8, 9, 9$ . Since there are $10$ numbers, the median will be the average of the $5$ th and $6$ th numbers. Calculation: $(6 + 8) / 2 = 7$ .
Determine lower quartile: Step $2$ : Determine the lower quartile. $\newline$ The lower quartile is the median of the first half of the data set. $\newline$ First half: $4, 5, 6, 6, 6$ . $\newline$ Calculation: The middle number is $6$ .
Determine upper quartile: Step $3$ : Determine the upper quartile. $\newline$ The upper quartile is the median of the second half of the data set. $\newline$ Second half: $8, 8, 8, 9, 9$ . $\newline$ Calculation: The middle number is $8$ .