In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 5, 7, 7, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set 2, 2, 5, 7, 7, 9. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (5 + 7) / 2 = 6.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: 2, 2, 5. Calculation: Median of 2, 2, 5 is 2.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: 7, 7, 9. Calculation: Median of 7, 7, 9 is 7.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 2, 5, 7, 7, 9$ $\newline$ 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

2, 2, 5, 7, 7, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set $2, 2, 5, 7, 7, 9$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(5 + 7) / 2 = 6$ .
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: $2, 2, 5$ . $\newline$ Calculation: Median of $2, 2, 5$ is $2$ .
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: $7, 7, 9$ . $\newline$ Calculation: Median of $7, 7, 9$ is $7$ .