In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 2, 3, 5, 5, 7, 7 lower quartile = _____ median = _____ upper quartile = _____

Calculate Median: Step 1: Identify the median of the data set 2, 2, 2, 3, 5, 5, 7, 7. Since there are 8 numbers, the median will be the average of the 4th and 5th numbers. Calculation: (3 + 5) / 2 = 4Lower Quartile Data Set: Step 2: Identify the data set for the lower quartile. Consider the first half of the data set, excluding the median. First half: 2, 2, 2, 3 Calculation: Median of 2, 2, 2, 3 is the average of the 2nd and 3rd numbers, (2 + 2) / 2 = 2Upper Quartile Data Set: Step 3: Identify the data set for the upper quartile. Consider the second half of the data set, excluding the median. Second half: 5, 5, 7, 7 Calculation: Median of 5, 5, 7, 7 is the average of the 2nd and 3rd numbers, (5 + 7) / 2 = 6

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 2, 2, 3, 5, 5, 7, 7$ $\newline$ 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, 2, 3, 5, 5, 7, 7

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Calculate Median: Step $1$ : Identify the median of the data set $2, 2, 2, 3, 5, 5, 7, 7$ . Since there are $8$ numbers, the median will be the average of the $4$ th and $5$ th numbers. Calculation: $(3 + 5) / 2 = 4$
Lower Quartile Data Set: Step $2$ : Identify the data set for the lower quartile. $\newline$ Consider the first half of the data set, excluding the median. $\newline$ First half: $2, 2, 2, 3$ $\newline$ Calculation: Median of $2, 2, 2, 3$ is the average of the $2$ nd and $3$ rd numbers, $(2 + 2) / 2 = 2$
Upper Quartile Data Set: Step $3$ : Identify the data set for the upper quartile. $\newline$ Consider the second half of the data set, excluding the median. $\newline$ Second half: $5, 5, 7, 7$ $\newline$ Calculation: Median of $5, 5, 7, 7$ is the average of the $2$ nd and $3$ rd numbers, $(5 + 7) / 2 = 6$