In the data set below, what are the lower quartile, the median, and the upper quartile? 18, 41, 46, 52, 59, 70 lower quartile = _____ median = _____ upper quartile = _____

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 18, 41, 46, 52, 59, 70.Arrange Data Set: Arrange the data set in ascending order, which is already done: 18, 41, 46, 52, 59, 70.Find Median: Find the median of the data set. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Median = (46 + 52) / 2 = 98 / 2 = 49Identify Lower Quartile: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if it is part of the data. Since we have an even number of data points, the first half is 18, 41, 46.Find Lower Quartile: Find the value of the lower quartile. Since there are 3 numbers in the first half, the lower quartile is the 2nd number. Lower quartile = 41Identify Upper Quartile: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it is part of the data. The second half is 52, 59, 70.Find Upper Quartile: Find the value of the upper quartile. Since there are 3 numbers in the second half, the upper quartile is the 2nd number. Upper quartile = 59

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $18, 41, 46, 52, 59, 70$ $\newline$ 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, 41, 46, 52, 59, 70

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: $18, 41, 46, 52, 59, 70$ .
Arrange Data Set: Arrange the data set in ascending order, which is already done: $18, 41, 46, 52, 59, 70$ .
Find Median: Find the median of the data set. Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. $\newline$ Median = $(46 + 52) / 2 = 98 / 2 = 49$
Identify Lower Quartile: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if it is part of the data. Since we have an even number of data points, the first half is $18$ , $41$ , $46$ .
Find Lower Quartile: Find the value of the lower quartile. Since there are $3$ numbers in the first half, the lower quartile is the $2$ nd number. $\newline$ Lower quartile = $41$
Identify Upper Quartile: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it is part of the data. The second half is $52$ , $59$ , $70$ .
Find Upper Quartile: Find the value of the upper quartile. Since there are $3$ numbers in the second half, the upper quartile is the $2$ nd number. $\newline$ Upper quartile $= 59$