Topics A and B Review (Lessons 6-9)
1)
Hour:
Name:
h the SAT and ACT before applying for college. Kelly
Kelly was a senior at Seaholm High School in 2013. She took
got a 1230 on the SAT out of 1600 and got a 27 out of 36 on the ACT. If the mean and the standard deviation for the
SAT was 1010 and 233 respectively and the mean and the standard deviation for the ACT was 20.7 and 5.1
respectively, which score should Kelly report to colleges? Show work to support how you arrived at your conclusion.
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For each of the graphs below, describe the shape of the graph then choose which mean and standard deviation
matches the graph.
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2)
a— Tore,
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b. A graph of the number of tweets sent every
day.
a. A graph of study times for a final.
Relative Freq u ency
0.2
1=M111111111111
0.05
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6
0.3
0.25
0.2
0.15
0.1
0.05
1
Hours
2
3
4
5
6
7
Tweets per Day
i. Mean = 2, Standard Deviation = 4
ii. Mean = 6, Standard Deviation = 2
Mean = 4.25, Standard Deviation = 1.5
v. Mean = 4, Standard Deviation = 3
I.
Mean = 4, Standard Deviation = .5
Mean = 2.5, Standard Deviation = 1
Mean = 5.5, Standard Deviation = 1.5
Mean = 4, Standard Deviation = 1.5
3) Dr. Dino and Dr. Saur are paleontologist. They are experts in stegosaurus fossils. After years of discovering fossils
and collecting data they have collected 500 fossils. After doing some basic data analysis, they know that the mean
height of stegosauruses was 14.25 ft and the standard deviation was 1.25 ft.
Using the information above decide whether or not the claims below are true or false. Explain your reasoning
and/or show your calculations.
a.
50 % of stegosauruses are taller than 14.25 ft.
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b.
Most stegosauruses are taller than 15 ft.
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c.
No stegosauruses are shorter than 13 ft.
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d.
68.3% of stegosauruses are between 13 and. 15.5 ft tall.
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4) The diagram to the right shows two spinners. For the first
spinner, the scores 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are equally likely,
and for the second spinner, the scores 1, 2, 3, and 4 are equally
likely. Both spinners will be spun. Writing your answers as
fractions in lowest terms, find the probability of each event.
a.
10
9
8
2
3
4
6 5
The total of the scores on the two spinners is 12.
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b.
The total of the scores on the two spinners is greater than 12.
c.
The total of the scores on the two spinners is less than 12.
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d.
20
A contestant spins a 10 on five consecutive turns.
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.
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(C)
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/30000
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5) Students in a school were polled about their daily habits. They were asked if they eat breakfast in the morning and if
they go to the gym to work out every day. The bar graph below shows their responses.
160
140
140
120 .Eats Breakfast
100
80
a Doesn't Eat
60
Breakfast
40 20 o
Goes to the Gym Doesn't go to the Gym
a. Based on the graph above, complete the following Venn diagrams where B is the event that a student eats
breakfast and G is the event that a student goes to the gym. You should fill in 6 values for each Venn diagram on
the lines provided.
i. Complete with number of students.
ii. Complete with probabilities of each event.
b. What is the probability that a randomly selected
student doesn't eat breakfast?
b
c.
If a randomly selected student goes to the gym,
what is the probability he eats breakfast?
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d. Calculate the following probabilities:
i. P(B
t
n G) = lo
P(B given G) =
P(B or G) =
3rV)
11 t
iv. P(B and not G) =
J J
v. P(G given B) =
vi. P(G and G c) =
6) Sketch the three scenarios below. Mark an appropriate place for the mean on each.
a)
Distribution of data that is skewed left.
b) Distribution of data that is approximately normal
c)
Distribution of data that is skewed right.
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