In the data set below, what are the lower quartile, the median, and the upper quartile? 18, 21, 29, 39, 53, 57, 68, 71, 87, 88 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data in Ascending Order: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 18, 21, 29, 39, 53, 57, 68, 71, 87, 88.Find 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 = (53 + 57) / 2 = 110 / 2 = 55.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 part of the data. First half is 18, 21, 29, 39, 53.Find 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, which is the 3rd number. Lower quartile = 29.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 part of the data. Second half is 57, 68, 71, 87, 88.Find 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, which is the 3rd number. Upper quartile = 71.

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? $\newline$ $18, 21, 29, 39, 53, 57, 68, 71, 87, 88$ $\newline$ 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

18, 21, 29, 39, 53, 57, 68, 71, 87, 88

\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. $\newline$ The given data set is already in ascending order: $18, 21, 29, 39, 53, 57, 68, 71, 87, 88$ .
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 = $(53 + 57) / 2 = 110 / 2 = 55$ .
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 it is part of the data. $\newline$ First half is $18$ , $21$ , $29$ , $39$ , $53$ .
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, which is the $3$ rd number. $\newline$ Lower quartile $= 29$ .
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 if it is part of the data. $\newline$ Second half is $57$ , $68$ , $71$ , $87$ , $88$ .
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, which is the $3$ rd number. $\newline$ Upper quartile $= 71$ .