Download Chapter 11 Quiz

Chapter 11 Review
Name_________________________
Algebra II
Date________________Hour______
1a. Find the mean, median, mode, range, and standard deviation of 35, 36, 36, 38, 41, 42, 45, 48
Mean_________ Median________ Mode_________ Range_________
 __________
b. Add -7 to each data value. Find the mean, median, mode, range, and standard deviation of the new set.
Mean_________ Median________ Mode_________ Range_________
 __________
c. Multiply each data value by 1.2. Find the mean, median, mode, range, and standard deviation of the new
set.
Mean_________ Median________ Mode_________ Range_________
Find the margin of error for a survey with the given sample size.
2. 3500
3. 215
4. 2300
Find the sample size required to achieve the given margin of error.
5. 14.5%
6. 7.1%
7. 25.1%
 __________
8. In a survey of 504 people in the United States, about 11% said that the influx of new technologies such as
computers has left them feeling overwhelmed. What is the margin of error for the survey? Then give interval
that is likely to contain the exact percent of all people who feel overwhelmed by new technologies.
9. A normal distribution has a mean of 27 and a standard deviation of 5. Draw the normal curve and then find
the probability that a randomly selected x-value from the distribution is in the given interval.
A. Between 22 and 32
B. At least 22
C. At least 37
D. At most 42
10. The weights of adult male rhesus monkeys are normally distributed with a mean of 17 pounds and a
standard deviation of 3.4 pounds.
a. Find is the probability that a randomly selected adult male rhesus monkey has a weight less than
24.5 pounds?
b. If there were 6000 adult male rhesus monkeys, how many were less than 24.5 pounds?
11. The annual per person consumption of apples in the United States is normally distributed with a mean of 16
pounds and a standard deviation of 3.5 pounds.
a. Find the probability that a randomly selected person in the United States has an annual per person
consumption of apples more than 22 pounds?
b. If there were 500 people surveyed, how many would have consumed more than 22 pounds?
12. 1000 CEOs were surveyed. The ages were distributed normally with a mean of 56 years and a standard
deviation of 7 years.
a) What percentage of people are between 56 and 70?
b) What percentage of people are between 49 and 63?
c) What percentage of people are between 35 and 56?
d) What percentage of people are between 42 and 63?
e) What percentage of people are between 49 and 56?
f) Approximately how many CEOs ages are between 63 and 77?
13. The table below shows the horizontal distance (in feet) traveled by a baseball hit at various angles. The
initial speed of the ball at the bat is constant.
x
10º
15º
20º
24º
30º
34º
40º
45º
48º
50º
58º
60º
64º
y
116 157 189 221 253 269 285 285 277 269 244 231 180
a) graph the data
b) Which type of function best models the data points?
c) Make a rough sketch of the model for the data.
d) Use the sketch to estimate the distance traveled at 80º.
Distance __________
f) Does this seem realistic?
g) What will happen at 90º?
14. Real Estate: The table shows the average price (in thousands of dollars) of a house in the Northeastern U.S.
for 1987 to 1995. Let t be the number of years since 1987.
t
y
0
1
2
3
4
5
6
7
8
140 149 160 159 156 169 163 169 180
a) graph the data
b) Which type of function best models the data points?
c) Make a rough sketch of the model for the data.
d) Use the model to estimate the average price of a home in
2050.
Price __________
f) Does this seem realistic?
g) What will happen over time?