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Cumulative Review – Chapter 7, Probability, and Statistics
Name __________________________________
1. The mean height of a men’s gymnastics team is 68.3 inches with a standard deviation of 2.2 inches. The
mean height of a men’s basketball team is 73.2 inches with a standard deviation of 1.3 inches. Compare the
two teams’ heights.
2. a) Given the standard deviation and the mean of a normally distributed set of test scores of an
Algebra class, draw a number line displaying 3 standard deviations: x = 72, s = 7
b) A group of students that missed the test the day it was given took it and scored 96, 96, 99, and
98. What would the distribution look like now? Draw a picture, give the name of the distribution, and
explain why it changed.
3. Find the following information given the set of data: 13, 10, 11, 8, 14, 13, 13, 14, 30
a) Mean: _______________________________
b) Median: ___________________________
c) Mode: _______________________________
d) Range: ____________________________
e) Interquartile Range: _______________
Simplify
2  14
4.
7 2


5. 3 y  5 2 y  5 5

6.
28  4 63  2 7
7. Answer the following questions, based on these box plots of the amount of time boys and girls
spend per day on social networking sites.
a) Find the interquartile range of each set.
b) What do the medians and interquartile ranges tell you about these two sets?
c) What percentage of girls spend more than 1.25 hours/day on these sites?
d) What percentage of boys spend more than 1.35 hours/day on these sites?
Solve. Check for extraneous solutions.
8.
4 x  2  3x  4
2 1
14. Simplify  a 3 b 2 


9.
6
x7=x–5
1
10. ( x  2) 3 = -5
15. Graph y =
3
x  3  1.
Domain: ____________________________
Range: ______________________________
16. Given y= x  4 -1. Find the domain
and range.
17. Given y =  3 x  2 . Find the domain.
and range.
Domain: _________________________________
Domain: ________________________________
Range: ___________________________________
Range: __________________________________
18. On a standard number cube, find the probability of rolling and odd number or a 3.
19. A committee must choose 3 finalists from 15 scholarship candidates. How many ways can the
committee choose the three finalists?
20. A traveler can choose from three airlines, five hotels, and four rental car companies. How many
arrangements of these services are possible?
21. You open a new bag of starbursts that contain 30 red pieces, 20 orange, 25 pink, and 15 yellow.
Find the following probabilities if you take two out:
a) P(red then yellow) with replacement
b) P(orange then orange) w/o replacement
c) P(25 then yellow) w/o replacement
d) P(pink then pink) with replacement.