1. Answer True or False. The main types of data are qualitative and numerical.

2. The two types of variables are discrete and ______.

3. The measurement scale for a ______ variable does have gaps.

4. In describing a data set of measurements, the computation of numerical measures is irrelevant.

5. Both, categorical and numerical data can be described graphically using graphs and ______.

6. A frequency table for a sample of unitsA) shows all sample unitsB) shows the counts of individual categoriesC) shows all units within a categoryD) shows the relative frequencies of each category

7. A die is rolled 16 times, the scores are shown below.

6 1 4 1 1 2 6 4 2 6 5 3 3 6 5 2

a) Find the frequency of even numbers.

b) Find the relative frequency of even numbers. Round your answer to three decimal places.

8. A die is rolled 16 times, the scores are shown below.

5 6 5 6 6 1 5 2 4 5 3 2 3 5 1 3

a) Find the frequency of 5.

b) Find the relative frequency of 5. Round your answer to four decimal places.

9. A die is rolled 16 times, the scores are shown below.

6 1 5 4 1 2 5 5 2 6 3 3 3 6 2 4

a) Find the frequency of numbers larger than 4.

b) Find the relative frequency of numbers larger than 4. Round your answer to four decimal places.

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10. In 2007/2008 basketball season, Grant Hill scored 358 field goals, 33 3-point field goals, and 170 free-throw goals. Find the pie chart that better describes the data.A)

B)

C)

D)

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11. The following table shows the countries whose teams have won the UEFA Champions League.

Country FrequencySpain 12

England 11Italy 11

Germany 6Netherlands 6

Other 8

a) Calculate the relative frequency of each country. Round your answers to three decimal places

b) Select the pie chart that better describes the data.

I II

III

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12. Find the histogram that better describes the data.

Value x Frequency Relative Frequency1 4 0.222 5 0.283 4 0.224 3 0.175 2 0.11

Total 18 1.000

I II III

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13. The top number of goals scored by a national team in the last 18 FIFA's World Cups is shown below. Select the dot diagram that matches with the data.

14 15 15 16 16 17 23 22 12

18 15 14 15 19 14 27 15 18

I

II

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14. The number of touchdowns of a college football team is:38 36 29 33 37 34 35 34 43 27 36 38 21 26 26 27 31 22 28 36

a) Complete the frequency distribution.

Class Interval Frequency Relative Frequency21 - 24 ---- ----25 - 28 5 0.25029 - 32 ---- ----33 - 36 ---- ----37 - 40 3 0.15041 - 44 1 0.050Total 20 1.000

b) Select the line diagram that matches the data.

I II III

15. The following data represents the Buccaneers number of touchdowns per season, in the last 20 seasons. Make a stem-and-leaf display.

16. Use the stem-and-leaf display to construct a frequency distribution with intervals 10-12, 13-15, ..., 25-27.

1 4 8 5 1 5 4 6 5 6 9 7 8 3 6 02 3 7 2 0 5 3

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17. The table below shows the fastest race lap in the F1 Grand Prix in Monza.

Year Speed (km/h) Year Speed (km/h)2009 246 1999 2432008 237 1998 2442007 252 1997 2482006 253 1996 2412005 256 1995 2402004 257 1994 2432003 255 1993 2502002 249 1992 2422001 245 1991 2432000 244 1990 242

Make a stem-and-leaf display with a 2-digit stem.

18. Calculate the mean and median of the following data set.

13, 14, 1, 11, 8

19. Calculate the mean and median of the following data set. Round your answer to the nearest tenth.

31 28 34 56 32 55A) 39.3 and 32, respectively C) 39.3 and 33, respectivelyB) 39.3 and 34, respectively D) Mean: 39.3; there is no median

20. Calculate the mean and the median of the following data set.

4.8 4.5 3.8 3.7 4.8 5.4

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21. In a period of twelve years, the record low temperatures (F) in Morrow GA were:

Find the dot diagram that corresponds to these data.

I

II

III

22. Calculate the quartiles of the following data set.

17 22 17 23 22 22 17 23 17 17 22 23 17 23 22

23. Calculate the third quartile.

30 10 19 18 25 20 21 23 10 17 30 19 25 10 10 25 18 17 17 23 25A) 20 B) 25 C) 19 D) 21

24. Answer True or False. The second quartile of a data set always corresponds to the median.

25. Answer True or False. The second quartile of a data set always corresponds to the mean.

26. Find the 80th percentile.

1.6 1.7 1.8 1.8 1.9 2.1 2.5 3.0 3.0 4.4

4.5 4.5 5.9 7.1 7.4 7.5 7.7 8.6 9.3 9.5A) 7.5 B) 7.7 C) 7.52 D) 7.6

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27. Find the interquartile range.

128 154 124 251 194 252 129 156 102

217 157 210 254 163 211 172 76

28. Answer True or False. The interquartile range is the difference between any two consecutive quartiles.

29. Answer True or False. The range is the difference between the largest observation and the smallest observation.

30. For the data set 19 13 9

a) Calculate the deviations . Round your answers to two decimal places.

b) Calculate the sample variance and the standard deviation.

31. For the data set 2 3.2 8.8 6.4 5.9

a) Calculate the deviations and check to see that they add up to 0.

b) Calculate the sample variance and the standard deviation.

Round your answers to two decimal places.

32. For the data set 5 2 6 6

calculate s2 by using the alternative formula. Round your answer to the nearest tenth.

33. Find the variance of the following data set.

5 8 8A) 1.4 B) 2.0 C) 1.7 D) 3.0

34. Find the standard deviation of the following data set.

290 305 302 355A) 28.7 B) 29.7 C) 25.9 D) 24.9

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35. A football fan recorded the total number of points scored by 5 teams during week 1.

31 54 31 36 49

a) Calculate the sample variance.

b) Calculate the sample standard deviation.

36. eA report on the points gained by football teams playing at home in week 2 of the 2009 season are summarized below.

Descriptive Statistics:

PntHom

Variable N Mean Median StDevPntHom 16 22.86 23.50 11.95

Variable Minimum Maximum Q1 Q3PntHom 3 28 13.50 24.00

a) Calculate the sample variance.

b) Calculate the interquartile range.

37. Answer True or False. According to the empirical guidelines for symmetric bell-shaped

distributions, approximately 68% of the data lie within .

38. Refer to the data.

21 42 25 35 39 24 40 24 40 44 32 37 29 25 48 31 34 42 28 43

a) Calculate and s.

b) Find the proportion of the observations that are in the intervals , , and

.

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39. Based on the boxplot,

complete the table.

Minimum Q1 Median Q3 Maximum---- ---- ---- ---- ----

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40. During the 2008-2009 regular season, the Orlando Magics won 59 games. The difference of points in 24 of these games is shown below. Find the time plot that corresponds to these data.

I II

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41. During the 2008-2009 regular season, the Orlando magics won 59 games. The difference of points in 24 of these games is shown below. Find the control chart that corresponds to these data.

I II

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42. The 2008 OPEC's Annual Statistical Bulletin reported that Ecuador's values of exports in the period 1988-2008 (m $).

a) Select the time plot of the values of exports.

I II

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III

b) How many points are out of the control area ?

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43. The stem-and-leaf display given here shows the final examination scores of students in a statistics course. (Leaf unit = 1.0)

Stem-and-LeafDisplay of Scores

2 5 73 2 4 44 1 7 7 95 0 3 3 6 86 0 1 2 4 4 77 2 3 5 5 5 6 8 9 98 0 3 4 5 79 0 3 3 6

a) Find the median score.

b) Find the quartiles Q1 and Q3.

c) What proportion of the students scored below 70? Round your answer to three decimal places.

44. Answer True or False. If M is the mean of x1, x2, and x3, then the mean of 10x1, 10x2, and 10x3 is 10M.

45. Answer True or False. If M is the mean of x1, x2, and x3, then the mean of x1 + 9, x2 + 9, and x3 + 9 is M + 9.

46. Let s1, s2, and s3 be the standard deviations of the bell-shaped graphs I, II, and III, respectively. Place them in increasing order.

A) B) C) D)

47. If the median of the following set of data is 11.5, find the value of x.

13.1 9.2 x 11.4A) 11.4 B) 11.5 C) 11.6 D) Cannot be determined

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48. The sum of all deviations equals ________.

49. Since the median is not affected by a few very small or very large observations, the _______ is likely to be a more sensible measure of center than the ________.

50. The table below shows the attendance to the Super Bowl.

Year Attendance Year Attendance1994 61,545 2001 64,7041995 61,062 2002 62,5441996 60,190 2003 68,4361997 61,382 2004 65,2421998 75,482 2005 76,7751999 75,206 2006 57,4332000 62,784 2007 68,756

a) Find the 70th percentile.

b) Find the interquartile range.

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Answer Key

1. TrueSection:  2

2. continuousSection:  2

3. discreteSection:  2

4. FalseSection:  2

5. tablesSection:  2

6. BSection:  3

7. a) 9

b) 0.563Section:  3

8. a) 5

b) 0.3125Section:  3

9. a) 6

b) 0.3750Section:  3

10. ASection:  3

11. a)Country Relative Frequency

Spain 0.222England 0.204

Italy 0.204Germany 0.111

Netherlands 0.111Other 0.148

b) ISection:  3

12. ISection:  3

13. IISection:  3

14. a)Class Interval Frequency Relative Frequency

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21 - 24 2 0.10025 - 28 5 0.25029 - 32 2 0.10033 - 36 7 0.35037 - 40 3 0.15041 - 44 1 0.050Total 20 1.000

b) IIISection:  3

15.

Section:  316. Interval Frequency

10 - 12 213 - 15 616 - 18 619 - 21 222 - 24 325 - 27 2

Section:  317.

Section:  318. Mean:

Median: 11Section:  4

19. CSection:  4

20. Mean: 4.50

Median: 4.65Section:  4

21. IIISection:  4

22. Q1 = 17, Q2 = 22, Q3 = 23Section:  4

23. B

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Section:  424. True

Section:  425. False

Section:  426. D

Section:  427. 82

Section:  428. False

Section:  529. True

Section:  530. a) 5.33, –0.67, and –4.67, respectively

b) variance: 25.3

standard deviation: 5.0Section:  5

31. a) –3.26, –2.06, 3.54, 1.14, and 0.64, respectively

b) variance: 7.28

standard deviation: 2.70Section:  5

32. s2 = 3.6Section:  5

33. DSection:  5

34. ASection:  5

35. a) s2 = 113.7

b) s = 10.7Section:  5

36. a) 142.80

b) 10.5Section:  5

37. TrueSection:  5

38. a)

b) 12/20 = 0.60, 20/20 = 1.00, and 20/20 = 1.00, respectivelySection:  5

39.

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Minimum Q1 Median Q3 Maximum6 15.5 28.5 41 48

Section:  540. None of these

Section:  641. II

Section:  642. a) I

b) 1Section:  6

43. a) 65.5

b) Q1 = 50, Q3 = 79

c) 0.526Section:  5

44. TrueSection:  4

45. TrueSection:  4

46. BSection:  4

47. CSection:  4

48. zeroSection:  4

49. mean, medianSection:  4

50. a) 68,436

b) 7,374Section:  4

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