In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 18, 32, 32, 40, 54, 55, 58, 59, 70, 94 lower quartile = _____ median = _____ upper quartile = _____

Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: 14, 18, 32, 32, 40, 54, 55, 58, 59, 70, 94. Since there are 11 numbers, the median is the middle number, which is the 6th number in the list. Median: 54Identify 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. First half is 14, 18, 32, 32, 40. Lower quartile data: 14, 18, 32, 32, 40Calculate Lower Quartile: Find the value of the lower quartile. Lower quartile data: 14, 18, 32, 32, 40 For an odd number of observations, the median is the middle number. Lower quartile is the median of the first half, which is the 3rd number: 32.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. Second half is 55, 58, 59, 70, 94. Upper quartile data: 55, 58, 59, 70, 94Calculate Upper Quartile: Find the value of the upper quartile. Upper quartile data: 55, 58, 59, 70, 94 For an odd number of observations, the median is the middle number. Upper quartile is the median of the second half, which is the 3rd number: 59.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 18, 32, 32, 40, 54, 55, 58, 59, 70, 94$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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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, 32, 32, 40, 54, 55, 58, 59, 70, 94

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Find Median: Arrange the data set in ascending order and find the median. The data set is already in ascending order: $14, 18, 32, 32, 40, 54, 55, 58, 59, 70, 94$ . Since there are $11$ numbers, the median is the middle number, which is the $6$ th number in the list. Median: $54$
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. $\newline$ First half is $14, 18, 32, 32, 40$ . $\newline$ Lower quartile data: $14, 18, 32, 32, 40$
Calculate Lower Quartile: Find the value of the lower quartile. $\newline$ Lower quartile data: $14, 18, 32, 32, 40$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Lower quartile is the median of the first half, which is the $3$ rd number: $32$ .
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. $\newline$ Second half is $55, 58, 59, 70, 94$ . $\newline$ Upper quartile data: $55, 58, 59, 70, 94$
Calculate Upper Quartile: Find the value of the upper quartile. $\newline$ Upper quartile data: $55, 58, 59, 70, 94$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Upper quartile is the median of the second half, which is the $3$ rd number: $59$ .