In the data set below, what are the lower quartile, the median, and the upper quartile? 18, 33, 36, 53, 64, 69, 86 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 18, 33, 36, 53, 64, 69, 86. Since there are 7 numbers, the median is the fourth number. Calculation: Median = 53 Identify lower quartile: Step 2: Identify the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. First half: 18, 33, 36. Since there are 3 numbers, the lower quartile is the second number. Calculation: Lower quartile = 33 Identify upper quartile: Step 3: Identify the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median. Second half: 64, 69, 86. Since there are 3 numbers, the upper quartile is the second number. Calculation: Upper quartile = 69

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $18, 33, 36, 53, 64, 69, 86$ $\newline$ 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, 33, 36, 53, 64, 69, 86

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $18, 33, 36, 53, 64, 69, 86$ . $\newline$ Since there are $7$ numbers, the median is the fourth number. $\newline$ Calculation: Median $= 53$
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. $\newline$ First half: $18$ , $33$ , $36$ . $\newline$ Since there are $3$ numbers, the lower quartile is the second number. $\newline$ Calculation: Lower quartile $= 33$
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. $\newline$ Second half: $64$ , $69$ , $86$ . $\newline$ Since there are $3$ numbers, the upper quartile is the second number. $\newline$ Calculation: Upper quartile $= 69$