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CUMULATIVE TEST REVIEW Statistics and Chapter 7

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Page 1: 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

CUMULATIVE TEST REVIEW

Statisticsand

Chapter 7

Page 2: 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

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.

Page 3: 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

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.

Page 4: 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 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

Page 5: 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

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.

Page 6: 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

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

Page 7: 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

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.

Page 8: 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

CHAPTER 7 QUESTION ONE

16x8y4z2( )

−1

2

Page 9: 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

CHAPTER 7 QUESTION ONE

1

4x4y2z

Page 10: 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

CHAPTER 7 QUESTION TWO

27x6y93

Page 11: 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

CHAPTER 7 QUESTION TWO

3x2y3

Page 12: 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

CHAPTER 7 QUESTION THREE

5 18  −  2 2

Page 13: 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

CHAPTER 7 QUESTION THREE

13 2

Page 14: 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

CHAPTER 7 QUESTION FOUR

2−3 3

5 + 3

Page 15: 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

CHAPTER 7 QUESTION FOUR

19 −17 3

22

Page 16: 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

CHAPTER 7 QUESTION FIVE

(3x + 7)1

2 +1 =x

Page 17: 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

CHAPTER 7 QUESTION FIVE

x =6

Page 18: 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

CHAPTER 7 QUESTION SIX

10x −4 = 4x +2

Page 19: 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

CHAPTER 7 QUESTION SIX

x =1

Page 20: 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

CHAPTER 7 QUESTION SEVEN

• Graph

• State the domain and range

f (x) = x +13 −3

Page 21: 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

CHAPTER 7 QUESTION SEVEN

• Domain: All Reals• Range: All Reals

Page 22: 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

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

Page 23: 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

CHAPTER 7 QUESTION EIGHT

• A) 3 left• B) 1 down• C) x ≥ -3• D) y ≥ -1

Page 24: 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

CHAPTER 7 QUESTION NINE

• f(x) = x + 4 and g(x) = 3x - 1

• Find: f(x) + g(x)

Page 25: 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

CHAPTER 7 QUESTION NINE

4x + 3

• Domain: All Reals

Page 26: 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

CHAPTER 7 QUESTION TEN

• f(x) = x + 4 and g(x) = 3x – 1

• Find:

g(x)

f (x)

Page 27: 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

CHAPTER 7 QUESTION TEN

• Domain: All reals except -4.

3x + 1

x + 4

Page 28: 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

CHAPTER 7 QUESTION ELEVEN

• f(x) = x + 4 and g(x) = 3x – 1

• Find: g(f(x))

Page 29: 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

CHAPTER 7 QUESTION ELEVEN

3x + 11

Page 30: 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

CHAPTER 7 QUESTION TWELVE

• Find the inverse of . f (x) =(x + 3)2

Page 31: 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

CHAPTER 7 QUESTION TWELVE

y =−3 ± x