In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 5, 7, 8, 8, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify Median: Step 1: Identify the median of the data set 1, 5, 7, 8, 8, 9, 9. Since there are 7 data points, the median is the fourth value. Calculation: Median = 8 Lower Quartile Data: Step 2: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. First half is 1, 5, 7. Calculation: Lower quartile data = 1, 5, 7 Find Lower Quartile: Step 3: Find the value of the lower quartile. Since there are 3 data points in the lower quartile data, the median is the second value. Calculation: Lower quartile = 5 Upper Quartile Data: Step 4: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. Second half is 8, 9, 9. Calculation: Upper quartile data = 8, 9, 9 Find Upper Quartile: Step 5: Find the value of the upper quartile. Since there are 3 data points in the upper quartile data, the median is the second value. Calculation: Upper quartile = 9

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 5, 7, 8, 8, 9, 9$ $\newline$ 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

1, 5, 7, 8, 8, 9, 9

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify Median: Step $1$ : Identify the median of the data set $1, 5, 7, 8, 8, 9, 9$ . Since there are $7$ data points, the median is the fourth value. Calculation: Median $= 8$
Lower Quartile Data: Step $2$ : Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median. $\newline$ First half is $1$ , $5$ , $7$ . $\newline$ Calculation: Lower quartile data = $1$ , $5$ , $7$
Find Lower Quartile: Step $3$ : Find the value of the lower quartile. $\newline$ Since there are $3$ data points in the lower quartile data, the median is the second value. $\newline$ Calculation: Lower quartile $= 5$
Upper Quartile Data: Step $4$ : Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median. $\newline$ Second half is $8, 9, 9$ . $\newline$ Calculation: Upper quartile data = $8, 9, 9$
Find Upper Quartile: Step $5$ : Find the value of the upper quartile. $\newline$ Since there are $3$ data points in the upper quartile data, the median is the second value. $\newline$ Calculation: Upper quartile $= 9$