In the data set below, what are the lower quartile, the median, and the upper quartile? 3, 3, 3, 5, 5, 7, 7, 8, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify Median: Step 1: Identify the median of the data set 3, 3, 3, 5, 5, 7, 7, 8, 9, 9. Since there are 10 data points, the median will be the average of the 5th and 6th values. Calculation: (5 + 7) / 2 = 6.Lower Quartile Data: Step 2: Identify the data set for the lower quartile. Consider the first half of the data set, excluding the median if necessary. First half: 3, 3, 3, 5, 5.Find Lower Quartile: Step 3: Find the value of the lower quartile. Since there are 5 data points in the first half, the lower quartile is the middle value, which is the 3rd value. Calculation: Lower quartile = 3.Upper Quartile Data: Step 4: Identify the data set for the upper quartile. Consider the second half of the data set, excluding the median if necessary. Second half: 7, 7, 8, 9, 9.Find Upper Quartile: Step 5: Find the value of the upper quartile. Since there are 5 data points in the second half, the upper quartile is the middle value, which is the 3rd value. Calculation: Upper quartile = 8.

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? $\newline$ $3, 3, 3, 5, 5, 7, 7, 8, 9, 9$ $\newline$ 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

3, 3, 3, 5, 5, 7, 7, 8, 9, 9

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify Median: Step $1$ : Identify the median of the data set $3, 3, 3, 5, 5, 7, 7, 8, 9, 9$ . Since there are $10$ data points, the median will be the average of the $5$ th and $6$ th values. Calculation: $(5 + 7) / 2 = 6$ .
Lower Quartile Data: Step $2$ : Identify the data set for the lower quartile. $\newline$ Consider the first half of the data set, excluding the median if necessary. $\newline$ First half: $3, 3, 3, 5, 5$ .
Find Lower Quartile: Step $3$ : Find the value of the lower quartile. $\newline$ Since there are $5$ data points in the first half, the lower quartile is the middle value, which is the $3$ rd value. $\newline$ Calculation: Lower quartile $= 3$ .
Upper Quartile Data: Step $4$ : Identify the data set for the upper quartile. $\newline$ Consider the second half of the data set, excluding the median if necessary. $\newline$ Second half: $7, 7, 8, 9, 9$ .
Find Upper Quartile: Step $5$ : Find the value of the upper quartile. $\newline$ Since there are $5$ data points in the second half, the upper quartile is the middle value, which is the $3$ rd value. $\newline$ Calculation: Upper quartile $= 8$ .