Description
Assignment 4a: Box Plots
Submission Instructions: Write or type your answers to the problems given below. If you write
them by hand on paper rather than electronically, scan that page(s). If there are multiple pages
to your completed assignment, you must submit them as one multi-page document (pdf, docx,
jpg, or png). If you upload more than one document, only the first document will be graded.
Directions: Complete each of the following. Partial credit will be given if enough work is shown
to indicate some understanding of the solutions.
Consider the following situation: ?The following set of data is a list of the class sizes at an
elementary school.?
20, 26, 17, 8, 24, 26, 18, 11, 25, 28, 21, 24, 26, 18, 23
1. Find the five-number summary for the set of data given above.
a. min =
b. first quartile =
c. median =
d. third quartile =
e. max =
2. Set up a box-and-whisker plot by neatly drawing and labeling a horizontal axis. Let each
tick mark on your horizontal axis represent 2. Thus, your tick marks should be labeled 6,
8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30. Make sure each tick mark is equally spaced.
This is easier to do if you use graph paper.
3. Make the box part of the box-and-whisker plot.
4. Draw the left and right whiskers to finish making the box-and-whisker plot.
5. Which of the following two parts of the data are more spread out: the 25% of the classes
that have the fewest students or the 25% of the classes that have the most students?
Explain how to use the box-and-whisker plot to answer this question.
Assignment 4b: Scatter Plots
Submission Instructions: Write or type your answers to the problems given below. If you write
them by hand on paper rather than electronically, scan that page(s). If there are multiple pages
to your completed assignment, you must submit them as one multi-page document (pdf, docx,
jpg, or png). If you upload more than one document, only the first document will be graded.
Directions: Follow each of the steps below so that you will end up with one complete scatter
plot.
Consider the following situation: ?The workers at a local farm sold apples at a roadside stand.
They varied the price per apple based on how many apples they had available to sell. They
recorded the number of baskets of apples they sold at each price. The results are displayed in
the table below.?
Cost per apple
Number of baskets
of apples sold
$0.50
$0.45
$0.55
$0.60
$0.65
$0.58
$0.47
$0.68
28
34
23
16
18
24
29
10
1. Set up and label a horizontal axis (cost per apple) and a vertical axis (number of baskets
sold) to make a scatter plot of the data. Use graph paper or very neatly make the tick
marks on the axes so that they are an equal distance apart. Label your axes. Start the
?Cost per Apple? axis at $0.40, not at $0. (This avoids having a lot of empty space on the
graph.)
2. Plot the data on the scatter plot and put a title on your scatter plot.
3. What type of correlation (positive correlation, negative correlation, nonlinear
correlation, or no correlation) seems to exist between the two variables?
4. By estimating, draw a line of best fit on your scatter plot.
5. Using your line of best fit, how many baskets of apples do you predict they would sell on
a day in which their price per apple was $0.60? Show how you used your line of best fit
to answer this question.
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