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Algebra II BC
Name: _______________________
Unit 12 Review

Here are some test scores: 87, 97, 68, 91, 84, 79, 96, 83, 72, 60, 99, 76, 88, 71, 87.
1.) Find the range, median, Q1, Q3, and IQR.
2.) Are there any outliers? Explain.
3.) Draw a box-and-whisker plot. Make sure you have a real number line under it.

Here are some bowling scores: 280, 80, 1, 205, 220, 300, 299, 277, 223, 215
4.) Are there any outliers? If so, state them and explain why.
5.) Draw a box-and-whisker plot. Make sure you have a real number line under it.
6.) Find the mean and standard deviation. Round to 2 decimal places.
2
X
XX
X
XX

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7.) Find the value of x so that the mean of {3, 6, 10, 11, x, 3x – 2} is 8.
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A normal distribution has mean  120 and   20 . (Refer to your Normal Distribution Graph and Table as
needed. It will be included on the quiz for you.)
8.) What % of the data lie between 100 and 140?
9.) What % of the data lie between 88 and 152?
10.) Between what 2 #s around the mean do 99.8% of the data lie?
11.) What % of the data lies above 150?
12.) To receive an A in a class, Molly needs at least a mean of 90 on five exams. Molly’s grades on the first
four exams were 87, 95, 86, and 94. What minimum score does Molly need on the fifth exam to receive an A?
13.) Michael’s median score on three tests was 90. His mean score was 92 and his range was 6. What were his
three test scores?
14.) The mean of these five numbers is 50: 20, 35, 50, 60, 85. Add four numbers to the list so that the mean of
the nine numbers is still 50.
15.) A standardized math test was given to 10,000 students, and the scores were normally distributed. The
mean was 500 and the standard deviation was 60. If a student scored between 440 and 560 points, the student
was assigned to an introductory college math course. About how many students were assigned to the course?
16.) At a certain university, the combined math plus verbal standardized test scores of incoming freshmen had a
mean of 1250 and a standard deviation of 70. The data were normally distributed. Find the interval of scores
that would include 95% of the students.
17.) According to psychologists, IQs are normally distributed with a mean of 100 and a standard deviation of
15. To be considered a genius a person must have an IQ greater than 130.
a) What percent of the population would be considered geniuses?
b) What percent would have IQs between 100 and 130?
18.) A laundry bag contains 5 red, 9 blue, and 6 white socks. Find the probability of picking (without
replacement)…
a.) 2 red
b.) 2 blue
c.) 1 red, 1 blue
d.) 4 not blue
What’s the probability of…
19.) drawing a black card from a deck of cards, replacing it, and drawing another black card?
20.) rolling a sum of 6 or 8 when rolling 2 dice?
21.) picking at least 3 white crayons when you pick 4 crayons from a box with 7 whites and 5 blues?
22.) drawing a king or a red card from a deck of cards?
23.) rolling 2 dice whose sum is even, given that the 1st die was a 3?
24.) drawing 4 spades and 1 red card?
25.) Out of 250 students, 90 take AP Calculus, 75 take AP Chemistry, and 35 take both. Find the following:
a.) P(Calc)
b.) P(neither Calc nor Chem)
c.) P(Calc | Chem)
d.) P(not Chem | Calc)
26.) A coin is flipped 4 times. What is the probability of getting at least 3 heads, given the 1st flip was heads?
27.) A basketball player makes his free throws
a.) P(makes all 6)
c.) P(misses no more than 3)
2
3
of the time. If he shoots 6 shots, find the following:
b.) P(makes at least 3)
d.) P(makes only 1)
28.) If 85% of tomato seeds yield tomato plants, and I plant 10 seeds, what’s the probability I will get exactly 8
or 9 plants?
Answers!
1.) 39, 84, 72, 91, 19
2.) NO, 1.5 × IQR = 28.5, and there’s no data 28.5 above Q3, nor 28.5 below Q1
4.) YES, 1.5 × IQR = 112.5, and there are scores that are 112.5 below Q1. The outliers are 1 and 80.
6.) mean = 210, SD = 92.9
7.) x = 5
8.) 68.3%
9.) 89.1%
10.) (60,180)
11.) 6.7% (86.6% between 90 and 150, so 13.4% outside of them, and half of that above 150)
12.) 88%
13.) 90, 90, 96
14.) 5, 10, 20, 35, 50, 60, 85, 90, 95
15.) 6830
16.) (1110,1390)
17.) 2.25%, 47.75%
18a.) 191
21.) 14
26.) 12
33
64
18b.) 18
22.) 137
27a.) 729
95
18c.) 389
23.) 12
27b.) 656
729
656
22
24.)
.00715
or
.715%
18d.) 323
27c.) 729 (same question as 12b.)
9
25a.)
1
4
25
19.) 4
27d.) 243
25b.) 12
28.) 27.6% + 34.7% = 62.3%
25
20.) 185
7
25c.) 15
25d.)
11
18