Test 1 - Math 1342
Each question is worth 7 points. Your results, plots and comments will be typed into Microsoft Word and
then either submitted to the D2L dropbox as a Word File or as a pdf file.
You will use the following data for problems 1 - 6
25
31
20
32
13
14
43
2
57
23
36
32
33
32
44
32
52
44
51
45
11
40
19
25
50
17
31
20
15
45
1. Enter the data into StatCrunch and create a summary statistics table. Remember your data must go
down column 1 (var1) Paste your table into your Word document. You can use the default selection that
StatCrunch uses but also include the IQR as well.
2. Use StatCrunch to create a Stem and Leaf plot and paste it into your Word document.
3. Looking at the Summary Statistics and the Stem and Leaf plot why does the median have a fractional
part and not a whole number when all of the numbers in the data are whole numbers? What are the
two numbers on each side of the median?
4. Use StatCrunch to create a Box Plot which goes side to side (not up and down) and paste it into your
Word document. Is the median equally spaced between Q1 and Q3? If not which one is it closer to?
5. Use your IQR to determine if the data has medium or extreme outliers. See page 176 question 18 in
the textbook.
6. Create a Grouped Frequency Table from the data using 5 classes. Make sure the width is an odd
number and complete the following table. Examples -> 4.3 rounds to w = 5, 7.3 rounds to w = 9 so round
UP when you need to.
Class Class Limits
1
2
3
4
5
Class Boundaries
Frequency Midpoints Freq * Midpoints
Freq *Mid^2
7. Use the Grouped Frequency Table to calculate the grouped mean and compare this number with the
mean from your StatCrunch summary of the ungrouped data. Are the results the same or are they
different? Which answer do you think is more accurate and why?
8. Use your Grouped Frequency Table to calculate the grouped variance and the grouped standard
deviation.
9. Use StatCrunch and your Grouped Frequency Table to make a Histogram. Paste the graph into your
Word document.
10. Use the data shown below and StatCrunch to create a Pie Chart and also a Pareto Chart. Paste the
graphs into your Word document.
Favorite Colors
Red
Blue
Green
Yellow
Orange
Frequency
8
15
7
5
10
11. Use the data: 6, 7, 11, 15, 10, 14, 13, 22, 8, 10, 18, 8, 6, 23, 8
a. Calculate the z Score for 15? Show your work. Hint: Use StatCrunch to help.
b. Calculate the z Score for 18? Show your work. Hint: Use StatCrunch to help.
12. Use the data: 6, 7, 11, 15, 10, 14, 13, 22, 8, 10, 18, 8, 6, 23, 8
c. Calculate the percentile rank for 13? Show your work.
d. Determine the value that corresponds to the 40th percentile? Show your work.
13. Chebyshev’s Theorem - If the mean is 25 and the standard deviation is 3 what is the predicted
percentage of values that will live in the interval (19, 31)?
14. For the following data use StatCrunch to make a Scatter Plot. Paste the graph into your Word
document.
x
63
29
21
19
13
8
y
7
4
2
3
1.4
1.5