In the data set below, what are the lower quartile, the median, and the upper quartile? 17, 18, 23, 30, 49, 50, 51 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted. The given data set is already in ascending order: 17, 18, 23, 30, 49, 50, 51.Find Median: Find the median of the data set. The data set has 7 numbers, so the median is the middle number, which is the fourth number in the list. Median: 30Identify 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. First half is 17, 18, 23. Lower quartile data: 17, 18, 23Find Lower Quartile Value: Find the value of the lower quartile. The lower quartile data set has 3 numbers, so the lower quartile is the middle number. Lower quartile: 18Identify 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. Second half is 49, 50, 51. Upper quartile data: 49, 50, 51Find Upper Quartile Value: Find the value of the upper quartile. The upper quartile data set has 3 numbers, so the upper quartile is the middle number. Upper quartile: 50

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $17, 18, 23, 30, 49, 50, 51$ $\newline$ 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

17, 18, 23, 30, 49, 50, 51

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Arrange Data in Ascending Order: Arrange the data set in ascending order if it is not already sorted. $\newline$ The given data set is already in ascending order: $17, 18, 23, 30, 49, 50, 51$ .
Find Median: Find the median of the data set. $\newline$ The data set has $7$ numbers, so the median is the middle number, which is the fourth number in the list. $\newline$ Median: $30$
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. $\newline$ First half is $17$ , $18$ , $23$ . $\newline$ Lower quartile data: $17$ , $18$ , $23$
Find Lower Quartile Value: Find the value of the lower quartile. $\newline$ The lower quartile data set has $3$ numbers, so the lower quartile is the middle number. $\newline$ Lower quartile: $18$
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, excluding the median. $\newline$ Second half is $49$ , $50$ , $51$ . $\newline$ Upper quartile data: $49$ , $50$ , $51$
Find Upper Quartile Value: Find the value of the upper quartile. $\newline$ The upper quartile data set has $3$ numbers, so the upper quartile is the middle number. $\newline$ Upper quartile: $50$