Question

Please Help!! Will medal and fan!!

The following table shows the number of hours some high school students in two states spend surfing the Internet each week:


State A 35 36 35 34 35 38 36 36 38
State B 24 22 20 50 25 24 65 25 26


Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

Answer 1

@jigglypuff314?

Answer 2

@cathyangs

Answer 3

For a 5-number summary, you need to work out (for State A and State B separately):

-Minimum
-Lower Quartile
-Median
-Upper Quartile
-Maximum

To do this, you'll first need to order the data from smallest to largest. The max and min values should be straightforward to figure out....do you know how to find the median and the upper and lower quartiles @wolf07 ?

Once you have done that.....
INTERQUARTILE RANGE = UPPER QUARTILE - LOWER QUARTILE

Answer 4

A boxplot is simply a graphical representation of all the values you calculated in your 5-number summary. The data should be roughly symmetric if the gap between the median line and the top of the box (upper quartile) is the same as the gap between the median and the bottom of the box (lower quartile). The box on the boxplot displays the middle 75% of the data, so this should be the part of the data you're mainly focused on.

You'll need to draw them both out separately for each state once more and then see what they look like. Here's an example of a boxplot where the data does not appear to be exactly symmetric, but slightly skewed to the left.

http://blog.contextures.com/wp-content/uploads/2013/06/boxplotsimple08.png

Hope that helps you out! :)