In the data set below, what are the lower quartile, the median, and the upper quartile? 19, 58, 62, 62, 69, 75, 79 lower quartile = _____ median = _____ upper quartile = _____

Identify Median: Step 1: Identify the median of the data set 19, 58, 62, 62, 69, 75, 79. Since there are 7 numbers, the median is the fourth number. Calculation: Median = 69 Lower Quartile Data Set: 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: 19, 58, 62, 62 Calculation: Lower quartile = Median of 19, 58, 62, 62 = (58 + 62) / 2 = 60 Upper Quartile Data Set: Step 3: 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: 62, 69, 75, 79 Calculation: Upper quartile = Median of 62, 69, 75, 79 = (69 + 75) / 2 = 72

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $19, 58, 62, 62, 69, 75, 79$ $\newline$ 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

19, 58, 62, 62, 69, 75, 79

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median: Step $1$ : Identify the median of the data set $19, 58, 62, 62, 69, 75, 79$ . Since there are $7$ numbers, the median is the fourth number. Calculation: Median $= 69$
Lower Quartile Data Set: 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: $19, 58, 62, 62$ $\newline$ Calculation: Lower quartile = Median of $19, 58, 62, 62 = (58 + 62) / 2 = 60$
Upper Quartile Data Set: Step $3$ : 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: $62, 69, 75, 79$ $\newline$ Calculation: Upper quartile = Median of $62, 69, 75, 79$ = $(69 + 75) / 2 = 72$