Here is what I have given you (so far) to do with your M&M data.
1. Buy a 1.69 ounce (regular size) package of plain
M&Ms. Record the number of each color and the total. The
total should be somewhere between 50 and 65. Otherwise you either
got gypped or bought the wrong size.
2. Figure the percent that each color is of the
total. Draw a pie chart reflecting your data.
3. Draw a histogram of your data.
4. Bring you data to class ready to verbally report
the number of each color that you had (to be used in our class
data set).
5. Draw a pie chart for the class data. Be
sure to include the percentages of each color.
6. How does the pie chart of your personal data
compare with the class data pie chart?
7. For each color in the class data set list:
a. the lower extremes (LE)
b. upper extremes (UE)
c. median
d. lower quartile (LQ)
e. upper quartile (UQ)
f. IQR
g. lower end of the inner fence
h. upper end of the inner fence
i. any outliers
j. mean
k. mode(s)
8. Draw a box and whisker plot for each color on
the same number line.
9. Place a small x where the mean for each color
of the class data occurs on the box plots.
10. Comment on the skewness of each data set using
the definition
given on the Rainfall page.
11. Place a small y where your personal data for
each color occurs on the box plots.
12. Place a small z where the mode of each color
of the class data occurs on the box plots.
13. Compare the plots and comment.
14. Make squares of paper representing you M&Ms
and label each with a color. Put them in a container and mix them
thoroughly. Draw out a paper and record the color. Replace
the paper. Repeat for
50 trials. Find the experimental probability
of selecting an M&M which is
a. red b.
green c. yellow d.
brown e. blue f. orange
15. Write out the sample space for selecting 1
M&M. You will want to use ellipsis (the three little dots which
designate that it continues in the same pattern) and abbreviations ( like
G1 for green number 1) for the colors.
16. Find the theoretical probability of
selecting one M&M which is
a. red b.
green c. yellow d.
brown e. blue f. orange
17. Now draw two papers and replace them each time
for 50 trials. Find the experimental probability of selecting a pair
of M&Ms consisting of
a. a red and a brown
b. a red or a brown c. two reds
18. Write out the sample space for selecting 2
M&Ms. You will want to use ellipsis and abbreviations for the
colors.
19. Find the theoretical probability of
selecting a pair of M&Ms consisting of
a. a red and a brown
b. a red or a brown c. two reds
20. Compare the experimental and theoretical probabilities
in selecting 1 M&M and selecting 2 M&Ms above and comment.
21. If 30% of all M&M candies produced are
brown (as the Mars web site says), examine your personal data to decide
whether your number of browns were likely or unlikely to occur. Be
sure to use the box plots closest to your sample size.
22. Find 90% confidence intervals for each
color for your own data collected.
23. Predict the true population percentage for
each color based on the confidence interval for your individual data.
24. Find 95% confidence intervals for each
color for your own data collected.
25. Predict the true population percentage for
each color based on the confidence interval for your individual data.
26. Find 95% confidence intervals for each
color for the class data collected.
27. Predict the true population percentage for
each color based on the cinfidence interval for the class data.
28. Compare the true population percentage that
you predicted from 23, 25, and 27 above with the Mars company statement
that the percentage of each color is as follows:
brown 30%,
orange 10%, blue 10%, green
10%, red 20%, yellow 20%
29. Do these theoretical population percentages
lie within the confidence intervals you found above in 22, 24, and 26?
This is the end of the M&M project. (Yeah!!) You can hand it in at any time. You don't have to wait for the end of the semester.