In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 2, 2, 4, 4, 5 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out. Data set: 1, 2, 2, 4, 4, 5 The data set is already in ascending order.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: (2 + 4) / 2 = 6 / 2 = 3Identify Lower Quartile Data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, which is 1, 2, 2. Lower quartile data: 1, 2, 2Find Lower Quartile Value: Find the value of the lower quartile. Since there are 3 numbers in the lower quartile data set, the lower quartile is the middle number. Lower quartile: 2Identify Upper Quartile Data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, which is 4, 4, 5. Upper quartile data: 4, 4, 5Find Upper Quartile Value: Find the value of the upper quartile. Since there are 3 numbers in the upper quartile data set, the upper quartile is the middle number. Upper quartile: 4

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 2, 2, 4, 4, 5$ $\newline$ 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

1, 2, 2, 4, 4, 5

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out. $\newline$ Data set: $1, 2, 2, 4, 4, 5$ $\newline$ The data set is already in ascending order.
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: $(2 + 4) / 2 = 6 / 2 = 3$
Identify Lower Quartile Data: Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, which is $1$ , $2$ , $2$ . $\newline$ Lower quartile data: $1$ , $2$ , $2$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ Since there are $3$ numbers in the lower quartile data set, the lower quartile is the middle number. $\newline$ Lower quartile: $2$
Identify Upper Quartile Data: Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, which is $4$ , $4$ , $5$ . $\newline$ Upper quartile data: $4$ , $4$ , $5$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ Since there are $3$ numbers in the upper quartile data set, the upper quartile is the middle number. $\newline$ Upper quartile: $4$