Statistics Homework
1. In her science class, Priscilla read about the growth rate (in centimeters) of two varieties of plants after 20 days. For the data shown below, answer questions ad.
Variety 1 Variety 2
20 12 49 38 41 43 18 54 62 59 53 25
51 52 59 55 53 59 13 57 42 54 56 38
50 58 35 38 33 32 41 36 50 62 45 55
43 53
Variety 1 Variety 2
a. Mean: a. Mean:
b. Median: b. Median:
c. Mode: c. Mode:
d. Construct a stem and leaf display with a central stem with Variety 1 on the left and Variety 2 on the right. Order the leaves with the smallest leaves closest to the stem.
e. What conclusions can you make from this table?
2. Heather recently read about the following distribution which shows the number of pounds of each snack food eaten during the 2012 NCAA Basketball Championship game.
a. Construct a pie chart for this data b. Indicate the degree of the central angle for each snack food
Potato chips 12.3 million
Tortilla chips 8.4 million
Pretzels 7.8 million
Popcorn 6.3 million
Snack Nuts 2.5 million
3. Attached to this exam are two sets of data, CU Women’s Softball stats for this season, and a recap of the weather in Portland. CHOOSE ONE of these sets of stats, and …
a. Make 3 observations of the data.
b. Pose two questions about the data that are critical to ask about any set of data.
4. Jorge read that, in the Portland area, each month a household generates an average of 29 pounds of newspaper for recycling. The standard deviation is 2 pounds. Assume the data is normally distributed. What percentage of households…
a. Recycles between 27 and 31 pounds per month?
b. Recycles less than 33 pounds per month?
5. Andrea obtained a math score of 510 on the SAT; the SAT scores had a mean of 435 and a standard deviation of 105. Her math score on the PSAT was 56; the PSAT scores had a mean of 42 and a standard deviation of 9.5.
a. What is her zscore for the SAT?
b. What is her zscore for the PSAT?
c. Which of the two test scores from parts a and b indicates the stronger performance? Explain.
6. Given the following results on the Stanford Achievement Test where the top row of numbers listed for each subject test shows the raw score for that subtest. The number in the second row of each column shows the national percentile.
Verbal 
Math 
Analytical 

Raw Score 
350 
420 
580 
Percentile 
65 
85 
92 
a. What percentage of the students scored above this student in Analytical skill?
b. What percentage of the students scored below this student in Math?
7. Since Summer is here, Rosa wants to put some color in her yard. She bought 2 lilac, 2 rhododendron, and 1 rose bush. If an experiment consists of randomly choosing two of these bushes to plant in her yard, answer the following:
a. List the sample space of this experiment.
b. What is the probability that she will select 2 of the same bushes to put in her yard?
8. Derrick is conducting an experiment consisting of tossing two ordinary dice and adding the two numbers. Determine the probability of him obtaining:
a. A sum of 9 b. A sum less than 7 c. A sum greater than or equal to 10
9. Going into the weekend, Michelle reported that the odds in favor of the weather being good enough to make her move a pleasant one are 7 to 9.
a. What is the probability the weather will be good enough?
b. What are the odds against the weather being good enough?
10. Jerrilyn designed a multistage experiment using Starburst jelly beans with the following conditions: There are 1 orange, 8 yellow, 8 red and 2 purple jelly beans in a bowl. If an experiment consists of randomly selecting 2 jelly beans, and…
If they are INDEPENDENT events:
a. What is the probability that both jelly beans will be yellow?
b. What is the probability of choosing 1 red jelly bean and 1 orange jelly bean?
If they are DEPENDENT events:
c. What is the probability that both jelly beans will be yellow?
d. What is the probability of choosing 1 red jelly bean and 1 orange jelly bean?
11. Jin decided to enter a raffle. Indicate which outcome (a or b) is more likely to occur: Assume there is one winning ticket in the box. Justify your answer.
a. Obtaining a winning ticket by drawing once from a box of 15 tickets.
b. Obtaining a winning ticket both times by drawing twice with replacement from a box of 5 tickets?
12. Sandy is conducting an experiment consisting of spinning spinner 1 and then spinner 2.
Go to class (spinner 1) 
Take a shower (spinner 2) 

SPINNER 1 SPINNER 2
a. What is the probability of her praying and then going to class?
b. What is the probability she will jog and then take a shower?
13. Alex decided to toss a coin three times and record the outcomes.
a. Draw a probability tree illustrating all the possible
b. What is the probability of at least one head when tossing three coins?
14. Heinz bought a certain sweepstake ticket that has four categories of prizes with the following probabilities for winning.
PRIZE PROBABILITY
$500,000 1/1,500,000
$250,000 1/500,000
$100,000 1/100,000
$30,000 1/18,000
a. What is the expected value of buying this ticket? (Round to the nearest cent)
b. If each ticket is $4.00, is this a fair contest? (Why/Why not?)
15. When Abby was at work at Subway, she decided to try and figure out how many possible sandwiches are possible. If she knows that a person could have 5 different types of bread in 2 sizes, 10 kinds of meat, 4 kinds of cheese, 12 types of veggies, with 8 types of spread, how many different sandwiches are available if a person chooses one of each of the above options?
16. Tyler discovered that the telephone company just instituted a new area code for certain districts in Oregon. He also found out that area codes and local numbers cannot begin with 0 or 1. How many different telephone numbers are possible? (Include the area code as part of the phone number.)
17. In preparation for the upcoming Rose Festival in Portland, Julie decided to list in order of preference, her three favorite roses blooming at Washington Park. If she saw 45 different rose bushes, in how many ways can she choose and rank the top three?
18. Heather just learned that our Math 110 class has been invited to attend a math conference at Disneyworld next fall. If all 20 Math 110 students attend:
a. In how many ways can a luggage carrier, ticket holder and Mickey Mouse spotter be chosen from this group of students?
b. In how many ways can 3of the students be chosen to represent us in a contest to not scream when riding “The Tower of Terror?”
c. If a total of 63 people at the conference have entered the Tower of Terror contest, in how many
ways can the first 5 places come in?
CU Women’s Softball Overall Statistics 
• Record: 189 • Home: 82 • Away: 25 • Neutral: 82 • CCC: 44 •
Player 
avg 
gpgs 
ab 
r 
h 
2b 
3b 
hr 
rbi 
tb 
slg% 
bb 
hbp 
so 
gdp 
ob% 
sf 
sh 
sbatt 
po 
a 
e 
fld% 
1 
.404 
2727 
89 
24 
36 
13 
0 
3 
19 
58 
.652 
13 
0 
8 
0 
.480 
0 
0 
01 
41 
36 
3 
.963 
2 
.395 
2626 
76 
18 
30 
6 
1 
5 
22 
53 
.697 
10 
3 
6 
1 
.473 
2 
0 
00 
147 
8 
2 
.987 
3 
.379 
2727 
87 
25 
33 
3 
1 
8 
23 
62 
.713 
7 
1 
11 
0 
.423 
2 
3 
77 
107 
27 
3 
.978 
4 
.340 
1714 
50 
7 
17 
2 
0 
2 
10 
25 
.500 
5 
1 
3 
0 
.404 
1 
0 
00 
7 
10 
3 
.850 
5 
.333 
2626 
75 
11 
25 
3 
0 
4 
15 
40 
.533 
13 
2 
10 
0 
.444 
0 
1 
00 
10 
16 
4 
.867 
6 
.333 
20 
3 
0 
1 
0 
0 
0 
0 
1 
.333 
0 
0 
0 
0 
.333 
0 
0 
00 
0 
0 
0 
.000 
7 
.329 
2727 
82 
12 
27 
4 
0 
0 
9 
31 
.378 
5 
0 
7 
1 
.368 
0 
1 
34 
27 
3 
0 
1.000 
8 
.321 
2625 
81 
17 
26 
3 
0 
0 
8 
29 
.358 
3 
1 
9 
1 
.353 
0 
3 
33 
29 
1 
3 
.909 
9 
.302 
2727 
86 
13 
26 
2 
0 
3 
14 
37 
.430 
5 
1 
10 
0 
.344 
1 
2 
23 
44 
1 
0 
1.000 
10 
.275 
2016 
51 
4 
14 
0 
1 
2 
5 
22 
.431 
4 
2 
5 
2 
.351 
0 
3 
00 
71 
1 
2 
.973 
11 
.242 
2323 
66 
12 
16 
1 
0 
3 
7 
26 
.394 
2 
0 
6 
0 
.265 
0 
1 
00 
36 
40 
3 
.962 
12 
.231 
61 
13 
1 
3 
1 
0 
0 
3 
4 
.308 
0 
0 
3 
0 
.231 
0 
0 
00 
17 
1 
0 
1.000 
13 
.200 
1812 
5 
1 
1 
0 
0 
0 
0 
1 
.200 
2 
0 
1 
0 
.429 
0 
0 
11 
6 
25 
4 
.886 
14 
.000 
71 
6 
0 
0 
0 
0 
0 
0 
0 
.000 
0 
0 
1 
0 
.000 
0 
0 
00 
0 
0 
0 
.000 
15 
.000 
170 
5 
7 
0 
0 
0 
0 
0 
0 
.000 
3 
0 
3 
0 
.375 
0 
0 
46 
1 
0 
0 
1.000 
16 
.000 
181 
5 
3 
0 
0 
0 
0 
0 
0 
.000 
1 
0 
1 
0 
.167 
0 
0 
00 
0 
0 
0 
.000 
17 
.000 
20 
1 
1 
0 
0 
0 
0 
0 
0 
.000 
0 
0 
1 
0 
.000 
0 
0 
00 
0 
0 
0 
.000 
18 
.000 
53 
0 
0 
0 
0 
0 
0 
0 
0 
.000 
0 
0 
0 
0 
.000 
0 
0 
00 
0 
4 
0 
1.000 
19 
.000 
1714 
0 
0 
0 
0 
0 
0 
0 
0 
.000 
0 
0 
0 
0 
.000 
0 
0 
00 
3 
9 
1 
.923 
Totals 
.327 
2727 
781 
156 
255 
38 
3 
30 
135 
389 
.498 
73 
11 
85 
5 
.389 
6 
14 
2025 
546 
182 
28 
.963 
Opponents 
.225 
2727 
698 
76 
157 
28 
2 
16 
69 
237 
.340 
78 
7 
163 
1 
.308 
3 
12 
2124 
537 
259 
44 
.948 
LOB – Team (192), Opp (176). DPs turned – Team (4), Opp (9). IBB – Team (0), Opp (8). Picked off – BYRD 1. 
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