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CUMULATIVE TEST REVIEW
Statisticsand
Chapter 7
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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.
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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.
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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
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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.
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STATISTICS QUESTION THREEUse the means and standard deviations of thegraphs below to compare and describe the test scores for teenagers taking the written driver’s test.
Age 16 applicants Age 18 applicants
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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.
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CHAPTER 7 QUESTION ONE
16x8y4z2( )
−1
2
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CHAPTER 7 QUESTION ONE
1
4x4y2z
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CHAPTER 7 QUESTION TWO
27x6y93
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CHAPTER 7 QUESTION TWO
3x2y3
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CHAPTER 7 QUESTION THREE
5 18 − 2 2
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CHAPTER 7 QUESTION THREE
13 2
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CHAPTER 7 QUESTION FOUR
2−3 3
5 + 3
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CHAPTER 7 QUESTION FOUR
19 −17 3
22
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CHAPTER 7 QUESTION FIVE
(3x + 7)1
2 +1 =x
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CHAPTER 7 QUESTION FIVE
x =6
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CHAPTER 7 QUESTION SIX
10x −4 = 4x +2
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CHAPTER 7 QUESTION SIX
x =1
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CHAPTER 7 QUESTION SEVEN
• Graph
• State the domain and range
f (x) = x +13 −3
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CHAPTER 7 QUESTION SEVEN
• Domain: All Reals• Range: All Reals
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CHAPTER 7 QUESTION EIGHT
• Given
• Describe the horizontal shift.• Describe the vertical shift.• What is the domain?• What is the range?
f (x) = x + 3 −1
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CHAPTER 7 QUESTION EIGHT
• A) 3 left• B) 1 down• C) x ≥ -3• D) y ≥ -1
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CHAPTER 7 QUESTION NINE
• f(x) = x + 4 and g(x) = 3x - 1
• Find: f(x) + g(x)
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CHAPTER 7 QUESTION NINE
4x + 3
• Domain: All Reals
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CHAPTER 7 QUESTION TEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find:
g(x)
f (x)
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CHAPTER 7 QUESTION TEN
• Domain: All reals except -4.
3x + 1
x + 4
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CHAPTER 7 QUESTION ELEVEN
• f(x) = x + 4 and g(x) = 3x – 1
• Find: g(f(x))
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CHAPTER 7 QUESTION ELEVEN
3x + 11
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CHAPTER 7 QUESTION TWELVE
• Find the inverse of . f (x) =(x + 3)2
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CHAPTER 7 QUESTION TWELVE
y =−3 ± x