In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 5, 5, 7, 8, 8 lower quartile = _____ median = _____ upper quartile = _____

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. The given data set is already in ascending order: 2, 2, 5, 5, 7, 8, 8.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: 5Identify 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 if the number of data points is odd. First half is 2, 2, 5. Lower quartile data: 2, 2, 5Find Lower Quartile: Find the value of the lower quartile. Lower quartile data: 2, 2, 5 For an odd number of observations, the median is the middle number. Lower quartile is 2.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 if the number of data points is odd. Second half is 5, 7, 8. Upper quartile data: 5, 7, 8Find Upper Quartile: Find the value of the upper quartile. Upper quartile data: 5, 7, 8 For an odd number of observations, the median is the middle number. Upper quartile is 7.Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. Lower quartile = 2 Median = 5 Upper quartile = 7

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? $\newline$ $2, 2, 5, 5, 7, 8, 8$ $\newline$ 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

2, 2, 5, 5, 7, 8, 8

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Arrange Data Set: Arrange the data set in ascending order if it is not already sorted. $\newline$ The given data set is already in ascending order: $2, 2, 5, 5, 7, 8, 8$ .
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: $5$
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 if the number of data points is odd. $\newline$ First half is $2, 2, 5$ . $\newline$ Lower quartile data: $2, 2, 5$
Find Lower Quartile: Find the value of the lower quartile. $\newline$ Lower quartile data: $2, 2, 5$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Lower quartile is $2$ .
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 if the number of data points is odd. Second half is $5, 7, 8$ . Upper quartile data: $5, 7, 8$
Find Upper Quartile: Find the value of the upper quartile. $\newline$ Upper quartile data: $5, 7, 8$ $\newline$ For an odd number of observations, the median is the middle number. $\newline$ Upper quartile is $7$ .
Write Quartile Values: Write the values of the lower quartile, median, and the upper quartile. $\newline$ Lower quartile = $2$ $\newline$ Median = $5$ $\newline$ Upper quartile = $7$