In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 18, 28, 52, 77, 83 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. The given data set is already in ascending order: 14, 18, 28, 52, 77, 83.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 = (28 + 52) / 2 = 80 / 2 = 40.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. First half is 14, 18, 28. Lower quartile data: 14, 18, 28.Find Lower Quartile: Find the value of the lower quartile. Since there are 3 numbers in the lower half, the lower quartile is the middle number. Lower quartile = 18.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. Second half is 52, 77, 83. Upper quartile data: 52, 77, 83.Find Upper Quartile: Find the value of the upper quartile. Since there are 3 numbers in the upper half, the upper quartile is the middle number. Upper quartile = 77.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 18 Median = 40 Upper quartile = 77

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 18, 28, 52, 77, 83$ $\newline$ 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

14, 18, 28, 52, 77, 83

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. $\newline$ The given data set is already in ascending order: $14, 18, 28, 52, 77, 83$ .
Find Median: Find the median of the data set. $\newline$ Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. $\newline$ Median $= (28 + 52) / 2 = 80 / 2 = 40$ .
Identify Lower Quartile: Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median if it is part of the data. $\newline$ First half is $14$ , $18$ , $28$ . $\newline$ Lower quartile data: $14$ , $18$ , $28$ .
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Since there are $3$ numbers in the lower half, the lower quartile is the middle number. $\newline$ Lower quartile $= 18$ .
Identify Upper Quartile: Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median if it is part of the data. $\newline$ Second half is $52$ , $77$ , $83$ . $\newline$ Upper quartile data: $52$ , $77$ , $83$ .
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Since there are $3$ numbers in the upper half, the upper quartile is the middle number. $\newline$ Upper quartile $= 77$ .
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. $\newline$ Lower quartile = $18$ $\newline$ Median = $40$ $\newline$ Upper quartile = $77$