In the data set below, what are the lower quartile, the median, and the upper quartile? 28, 70, 80, 86, 86, 91, 99 lower quartile = _____ median = _____ upper quartile = _____

Find the Median: Find the median of the data set. Data set: 28, 70, 80, 86, 86, 91, 99 Since there are 7 numbers, the median is the fourth number. Calculation: Median = 86Lower Quartile Data Set: 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: 28, 70, 80 Calculation: Lower quartile = Median of 28, 70, 80 = 70Upper Quartile Data Set: 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: 86, 91, 99 Calculation: Upper quartile = Median of 86, 91, 99 = 91

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? $\newline$ $28, 70, 80, 86, 86, 91, 99$ $\newline$ 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

28, 70, 80, 86, 86, 91, 99

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Find the Median: Find the median of the data set. $\newline$ Data set: $28, 70, 80, 86, 86, 91, 99$ $\newline$ Since there are $7$ numbers, the median is the fourth number. $\newline$ Calculation: Median $= 86$
Lower Quartile Data Set: 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: $28$ , $70$ , $80$ $\newline$ Calculation: Lower quartile $= \text{Median of } 28, 70, 80 = 70$
Upper Quartile Data Set: 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: $86$ , $91$ , $99$ $\newline$ Calculation: Upper quartile $= \text{Median of } 86, 91, 99 = 91$