In the data set below, what are the lower quartile, the median, and the upper quartile? 3, 4, 5, 7, 7, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify Median Calculation: Step 1: Identify the median of the data set 3, 4, 5, 7, 7, 9. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (5 + 7) / 2 = 6.Lower Quartile Data Set: Step 2: Identify the data set for the lower quartile. Consider the first half of the data set for the lower quartile: 3, 4, 5. Calculation: Median of 3, 4, 5 is 4.Upper Quartile Data Set: Step 3: Identify the data set for the upper quartile. Consider the second half of the data set for the upper quartile: 7, 7, 9. Calculation: Median of 7, 7, 9 is 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? $\newline$ $3, 4, 5, 7, 7, 9$ $\newline$ 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, 4, 5, 7, 7, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median Calculation: Step $1$ : Identify the median of the data set $3, 4, 5, 7, 7, 9$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(5 + 7) / 2 = 6$ .
Lower Quartile Data Set: Step $2$ : Identify the data set for the lower quartile. $\newline$ Consider the first half of the data set for the lower quartile: $3, 4, 5$ . $\newline$ Calculation: Median of $3, 4, 5$ is $4$ .
Upper Quartile Data Set: Step $3$ : Identify the data set for the upper quartile. $\newline$ Consider the second half of the data set for the upper quartile: $7, 7, 9$ . $\newline$ Calculation: Median of $7, 7, 9$ is $7$ .