In the data set below, what are the lower quartile, the median, and the upper quartile? 23, 30, 34, 53, 61, 67, 68, 74, 87, 89, 93 lower quartile = _____ median = _____ upper quartile = _____

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The data set is already in ascending order: 23, 30, 34, 53, 61, 67, 68, 74, 87, 89, 93.Find Median: Find the median of the data set. Since there are 11 numbers, the median is the middle number, which is the 6th number in the ordered list. Median: 67Identify 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 23, 30, 34, 53, 61.Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile is the median of these 5 numbers, which is the 3rd number. Lower quartile: 34Identify 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 68, 74, 87, 89, 93.Find Upper Quartile: Find the value of the upper quartile. Since there are 5 numbers in the second half, the upper quartile is the median of these 5 numbers, which is the 3rd number. Upper quartile: 87

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $23, 30, 34, 53, 61, 67, 68, 74, 87, 89, 93$ $\newline$ lower quartile = ___ $\newline$ median = _ $\newline$ upper quartile = ___

View step-by-step help

Home

Math Problems

Algebra 1

Calculate quartiles and interquartile range

Full solution

Q. In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

23, 30, 34, 53, 61, 67, 68, 74, 87, 89, 93

\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.
Arrange Data Set: Arrange the data set in ascending order, if it is not already. $\newline$ The data set is already in ascending order: $23, 30, 34, 53, 61, 67, 68, 74, 87, 89, 93$ .
Find Median: Find the median of the data set. $\newline$ Since there are $11$ numbers, the median is the middle number, which is the $6$ th number in the ordered list. $\newline$ Median: $67$
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 $23$ , $30$ , $34$ , $53$ , $61$ .
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Since there are $5$ numbers in the first half, the lower quartile is the median of these $5$ numbers, which is the $3$ rd number. $\newline$ Lower quartile: $34$
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 $68$ , $74$ , $87$ , $89$ , $93$ .
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Since there are $5$ numbers in the second half, the upper quartile is the median of these $5$ numbers, which is the $3$ rd number. $\newline$ Upper quartile: $87$