In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 1, 1, 2, 2, 4, 5, 6, 7, 7 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order and list it out. Data set: 1, 1, 1, 2, 2, 4, 5, 6, 7, 7Find Median: Find the median of the data set. Since there are 10 numbers, the median will be the average of the 5th and 6th 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, excluding the median if necessary. First half: 1, 1, 1, 2, 2Find Lower Quartile Value: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile will be the middle number. Lower quartile: 1Identify 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 necessary. Second half: 4, 5, 6, 7, 7Find Upper Quartile Value: Find the value of the upper quartile. Since there are 5 numbers in the second half, the upper quartile will be the middle number. Upper quartile: 6Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 1 Median = 3 Upper quartile = 6

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 1, 1, 2, 2, 4, 5, 6, 7, 7$ $\newline$ 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, 1, 2, 2, 4, 5, 6, 7, 7

\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: $1, 1, 1, 2, 2, 4, 5, 6, 7, 7$
Find Median: Find the median of the data set. $\newline$ Since there are $10$ numbers, the median will be the average of the $5$ th and $6$ 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, excluding the median if necessary. $\newline$ First half: $1, 1, 1, 2, 2$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ Since there are $5$ numbers in the first half, the lower quartile will be the middle number. $\newline$ Lower quartile: $1$
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 necessary. Second half: $4, 5, 6, 7, 7$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ Since there are $5$ numbers in the second half, the upper quartile will be the middle number. $\newline$ Upper quartile: $6$
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. $\newline$ Lower quartile = $1$ $\newline$ Median = $3$ $\newline$ Upper quartile = $6$