CUMULATIVE TEST REVIEW
Statistics
and
Chapter 7
STATISTICS QUESTION ONE
12, 18, 22, 25, 27, 30, 31, 65
• Find the mean, median, and quartile values of
the data.
• Is the mean or the median the best
representation of the data, explain.
STATISTICS QUESTION ONE
•
•
•
•
•
The mean is 28.75.
The median is 26.
Quartile One is 20.
Quartile Three is 30.5
The median is the best measure because it is
not impacted by the outlier as much as the
mean.
STATISTICS QUESTION TWO
The box plot A shows the age of males in an independent
living facility. The box plot B shows the age of females in
an independent living facility. What conclusions can you
make about the median age of males and females and the
variability of their ages.
A (male)
B (female)
STATISTICS QUESTION TWO
• The median age of the two groups is the
same. The range of the ages of the women is
greater than that of the men.
STATISTICS QUESTION THREE
Use the means and standard deviations of the
graphs below to compare and describe the test
scores for teenagers taking the written driver’s
test.
Age 16 applicants
Age 18 applicants
STATISTICS QUESTION THREE
• They have the same mean.
• The standard deviation of the 16 year olds is
larger than that of the 18 year olds because
the data is more spread out.
CHAPTER 7 QUESTION ONE


1
16x y z
8
4 2
2
CHAPTER 7 QUESTION ONE
1
4x y z
4
2
CHAPTER 7 QUESTION TWO
3
27x y
6 9
CHAPTER 7 QUESTION TWO
3x y
2
3
CHAPTER 7 QUESTION THREE
5 18  2 2
CHAPTER 7 QUESTION THREE
13 2
CHAPTER 7 QUESTION FOUR
23 3
5 3
CHAPTER 7 QUESTION FOUR
19  17 3
22
CHAPTER 7 QUESTION FIVE
1
(3x  7)  1  x
2
CHAPTER 7 QUESTION FIVE
x6
CHAPTER 7 QUESTION SIX
10x  4 
4x  2
CHAPTER 7 QUESTION SIX
x1
CHAPTER 7 QUESTION SEVEN
• Graph
3
f(x)  x  1  3
• State the domain and range
CHAPTER 7 QUESTION SEVEN
• Domain: All Reals
• Range: All Reals
CHAPTER 7 QUESTION EIGHT
• Given
•
•
•
•
f(x)  x  3  1
Describe the horizontal shift.
Describe the vertical shift.
What is the domain?
What is the range?
CHAPTER 7 QUESTION EIGHT
•
•
•
•
A)
B)
C)
D)
3 left
1 down
x ≥ -3
y ≥ -1
CHAPTER 7 QUESTION NINE
• f(x) = x + 4 and g(x) = 3x - 1
• Find: f(x) + g(x)
CHAPTER 7 QUESTION NINE
4x  3
• Domain: All Reals
CHAPTER 7 QUESTION TEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find:
g(x)
f(x)
CHAPTER 7 QUESTION TEN
3x  1
x4
• Domain: All reals except -4.
CHAPTER 7 QUESTION ELEVEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find: g(f(x))
CHAPTER 7 QUESTION ELEVEN
3x  11
CHAPTER 7 QUESTION TWELVE
• Find the inverse of
f(x)  (x  3)2 .
CHAPTER 7 QUESTION TWELVE
y  3  x