In the data set below, what are the lower quartile, the median, and the upper quartile? 18, 18, 24, 27, 29, 35, 40, 55, 83, 86, 98 lower quartile = _____ median = _____ upper quartile = _____

Identify Median: Step 1: Identify the median of the data set. Data set: 18, 18, 24, 27, 29, 35, 40, 55, 83, 86, 98. Since there are 11 numbers, the median is the 6th number. Calculation: Median = 35 Identify Lower Quartile: Step 2: Identify the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. Data for lower quartile: 18, 18, 24, 27, 29. Since there are 5 numbers, the lower quartile is the 3rd number. Calculation: Lower quartile = 24 Identify Upper Quartile: Step 3: Identify the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. Data for upper quartile: 40, 55, 83, 86, 98. Since there are 5 numbers, the upper quartile is the 3rd number. Calculation: Upper quartile = 83

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $18, 18, 24, 27, 29, 35, 40, 55, 83, 86, 98$ $\newline$ 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

18, 18, 24, 27, 29, 35, 40, 55, 83, 86, 98

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $18, 18, 24, 27, 29, 35, 40, 55, 83, 86, 98$ . $\newline$ Since there are $11$ numbers, the median is the $6$ th number. $\newline$ Calculation: Median $= 35$
Identify Lower Quartile: Step $2$ : Identify the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median. $\newline$ Data for lower quartile: $18$ , $18$ , $24$ , $27$ , $29$ . $\newline$ Since there are $5$ numbers, the lower quartile is the $3$ rd number. $\newline$ Calculation: Lower quartile $= 24$
Identify Upper Quartile: Step $3$ : Identify the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median. $\newline$ Data for upper quartile: $40$ , $55$ , $83$ , $86$ , $98$ . $\newline$ Since there are $5$ numbers, the upper quartile is the $3$ rd number. $\newline$ Calculation: Upper quartile $= 83$