In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 1, 4, 6, 8, 8 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: 1, 1, 4, 6, 8, 8.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 = (4 + 6) / 2 = 10 / 2 = 5.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 a single number. First half is 1, 1, 4.Find Lower Quartile: Find the value of the lower quartile. Since there are 3 numbers in the first half, the lower quartile is the middle number. Lower quartile = 1.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 a single number. Second half is 6, 8, 8.Find Upper Quartile: Find the value of the upper quartile. Since there are 3 numbers in the second half, the upper quartile is the middle number. Upper quartile = 8.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 1, 4, 6, 8, 8$ $\newline$ 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, 1, 4, 6, 8, 8

\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: $1, 1, 4, 6, 8, 8$ .
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 $= (4 + 6) / 2 = 10 / 2 = 5$ .
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 a single number. $\newline$ First half is $1$ , $1$ , $4$ .
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Since there are $3$ numbers in the first half, the lower quartile is the middle number. $\newline$ Lower quartile $= 1$ .
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 a single number. $\newline$ Second half is $6, 8, 8$ .
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Since there are $3$ numbers in the second half, the upper quartile is the middle number. $\newline$ Upper quartile $= 8$ .