In the data set below, what are the lower quartile, the median, and the upper quartile? 45, 55, 55, 87, 88, 93 lower quartile = _____ median = _____ upper quartile = _____

Calculate Median: Step 1: Identify the median of the data set 45, 55, 55, 87, 88, 93. Since there are 6 numbers, the median is the average of the 3rd and 4th numbers. Calculation: (55 + 87) / 2 = 142 / 2 = 71.Identify Lower Quartile: Step 2: Identify the data set for the lower quartile. Consider the first half of the data set for the lower quartile: 45, 55, 55. Calculation: Median of 45, 55, 55 is 55 (middle value).Identify Upper Quartile: Step 3: Identify the data set for the upper quartile. Consider the second half of the data set for the upper quartile: 87, 88, 93. Calculation: Median of 87, 88, 93 is 88 (middle value).

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $45, 55, 55, 87, 88, 93$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___

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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

45, 55, 55, 87, 88, 93

\newline

lower quartile = _____

\newline

median = _____

\newline

upper quartile = _____

Calculate Median: Step $1$ : Identify the median of the data set $45, 55, 55, 87, 88, 93$ . Since there are $6$ numbers, the median is the average of the $3$ rd and $4$ th numbers. Calculation: $(55 + 87) / 2 = 142 / 2 = 71$ .
Identify Lower Quartile: Step $2$ : Identify the data set for the lower quartile. $\newline$ Consider the first half of the data set for the lower quartile: $45$ , $55$ , $55$ . $\newline$ Calculation: Median of $45$ , $55$ , $55$ is $55$ (middle value).
Identify Upper Quartile: Step $3$ : Identify the data set for the upper quartile. $\newline$ Consider the second half of the data set for the upper quartile: $87$ , $88$ , $93$ . $\newline$ Calculation: Median of $87$ , $88$ , $93$ is $88$ (middle value).