In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 5, 6, 8, 8, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set: 1, 5, 6, 8, 8, 9, 9.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 1, 5, 6, 8, 8, 9, 9.Find Median: Find the median of the data set. Since there are 7 numbers, the median is the middle number, which is the fourth number in the list. Median: 8.Identify Lower Quartile Data: 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. The first half is 1, 5, 6.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: 5.Identify Upper Quartile Data: 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. The second half is 8, 9, 9.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: 9.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 5, 6, 8, 8, 9, 9$ $\newline$ 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, 5, 6, 8, 8, 9, 9

\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: $1, 5, 6, 8, 8, 9, 9$ .
Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: $1, 5, 6, 8, 8, 9, 9$ .
Find Median: Find the median of the data set. Since there are $7$ numbers, the median is the middle number, which is the fourth number in the list. Median: $8$ .
Identify Lower Quartile Data: 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. The first half is $1$ , $5$ , $6$ .
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: $5$ .
Identify Upper Quartile Data: 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. The second half is $8, 9, 9$ .
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: $9$ .