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INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
1
EXERCISE_02 – CHAPTER 1 & 2
1. Identify the data setʹs level of measurement.
A. Nominal B. Ordinal C. Interval D. Ratio
i) Hair color of women on a high schooltennis team
ii) Numbers on the shirts of a girlʹs soccerteam
iii) Ages of students in a statistic class
2. These data represent the record high temperatures in degrees Fahrenheit (_F) for each of the 50 states.
Construct a grouped frequency distribution for the data using 7 classes.
3. Find the class boundaries,midpoints, and widths for each class.
i) 32–38
ii) 86–104
iii) 895–905
iv) 12.3–13.5
v) 3.18–4.96
4. Miles Run per Week
Construct a histogram, frequency polygon, and ogive using relative frequencies for the distribution (shown
here) of the miles that 20 randomly selected runners ran during a given week.
5. Counties, Divisions, or Parishes for 50 States
The number of counties,divisions, or parishes for each of the 50 states is given below. Use the data to construct
a grouped frequency distribution with 6 classes,a histogram, a frequency polygon,and an ogive. Analyze the
distribution.
67 27 15 75 58 64 8 67 159 5
102 44 92 99 105 120 64 16 23 14
83 87 82 114 56 93 16 10 21 33
62 100 53 88 77 36 67 5 46 66
95 254 29 14 95 39 55 72 23 3
Source: World Almanac and Book of Facts.
INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
2
6. Calories Burned While Exercising Construct a Pareto chart for the following data on exercise.
7. Safety Record of U.S. Airlines The safety record of U.S. airlines for 10 years is shown. Construct a time series
graph for the data.
8. Reasons We Travel The following data are based on a survey from American Travel Survey on why people
travel. Construct a pie graph for the data and analyze the results.
9. Find the mean, median, and mode of the following numbers:
73 76 69 73 66 74 73 67 68 71
10. The heights (in inches) of 20 adult males are listed below. Find the range of the data set.
70 72 71 70 69 73 69 68 70 71
67 71 70 74 69 68 71 71 71 72
11. Find the sample standard deviation.
22 29 21 24 27 28 25 36
12. The mean IQ score of students in a particular calculus class is 110, with a standard deviation of 5. Use the
Empirical Rule to find the percentage of students with an IQ above 120. (Assume the data set has a bell –
shaped distribution.)
13. The test scores of 30 students are listed below. Find the five-number summary.
31 41 45 48 52 55 56 58 63 65
67 67 69 70 70 74 75 78 79 79
80 81 83 85 85 87 90 92 95 99

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Exer chp1 2

  • 1. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS SEM 1 2015 / 2016 1 EXERCISE_02 – CHAPTER 1 & 2 1. Identify the data setʹs level of measurement. A. Nominal B. Ordinal C. Interval D. Ratio i) Hair color of women on a high schooltennis team ii) Numbers on the shirts of a girlʹs soccerteam iii) Ages of students in a statistic class 2. These data represent the record high temperatures in degrees Fahrenheit (_F) for each of the 50 states. Construct a grouped frequency distribution for the data using 7 classes. 3. Find the class boundaries,midpoints, and widths for each class. i) 32–38 ii) 86–104 iii) 895–905 iv) 12.3–13.5 v) 3.18–4.96 4. Miles Run per Week Construct a histogram, frequency polygon, and ogive using relative frequencies for the distribution (shown here) of the miles that 20 randomly selected runners ran during a given week. 5. Counties, Divisions, or Parishes for 50 States The number of counties,divisions, or parishes for each of the 50 states is given below. Use the data to construct a grouped frequency distribution with 6 classes,a histogram, a frequency polygon,and an ogive. Analyze the distribution. 67 27 15 75 58 64 8 67 159 5 102 44 92 99 105 120 64 16 23 14 83 87 82 114 56 93 16 10 21 33 62 100 53 88 77 36 67 5 46 66 95 254 29 14 95 39 55 72 23 3 Source: World Almanac and Book of Facts.
  • 2. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS SEM 1 2015 / 2016 2 6. Calories Burned While Exercising Construct a Pareto chart for the following data on exercise. 7. Safety Record of U.S. Airlines The safety record of U.S. airlines for 10 years is shown. Construct a time series graph for the data. 8. Reasons We Travel The following data are based on a survey from American Travel Survey on why people travel. Construct a pie graph for the data and analyze the results. 9. Find the mean, median, and mode of the following numbers: 73 76 69 73 66 74 73 67 68 71 10. The heights (in inches) of 20 adult males are listed below. Find the range of the data set. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72 11. Find the sample standard deviation. 22 29 21 24 27 28 25 36 12. The mean IQ score of students in a particular calculus class is 110, with a standard deviation of 5. Use the Empirical Rule to find the percentage of students with an IQ above 120. (Assume the data set has a bell – shaped distribution.) 13. The test scores of 30 students are listed below. Find the five-number summary. 31 41 45 48 52 55 56 58 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99