This document contains an exercise with multiple questions about foundational quantitative analysis concepts. It includes questions about identifying levels of measurement, constructing distributions like histograms and frequency polygons, calculating descriptive statistics like mean and standard deviation, and using concepts like the empirical rule and five-number summaries. The document provides data sets for things like temperatures, miles run, counties in states, and test scores to analyze with these quantitative methods.

1. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
EXERCISE_02 – CHAPTER 1 & 2
Answer Schema
1. Identify the data setʹs level of measurement.
A. Nominal B. Ordinal C. Interval D. Ratio
i) Hair color of women on a high school tennis team Nominal
ii) Numbers on the shirts of a girlʹs soccer team Nominal
iii) Ages of students in a statistic class Ratio
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.
Answer
3. Find the class boundaries, midpoints, and widths for each class.
i) 32–38 31.5–38.5, 35, 7
ii) 86–104 85.5–104.5, 95, 19
iii) 895–905 894.5–905.5, 900, 11
iv) 12.3–13.5 12.25–13.55, 12.9, 1.3
v) 3.18–4.96 3.175–4.965, 4.07, 1.79
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

2. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016

3. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
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: W orld Almanac and Book of Facts.

4. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
6. Calories BurnedWhile Exercising Constructa Pareto chart forthe following data on exercise.
Answer
7. Safety Record of U.S. Airlines The safetyrecord ofU.S.airlines for 10 years is shown.Construct a time series
graph forthe data.

5. INFO 2701 – FOUNDATION OF QUANTIATIVE ANALYSIS
SEM 1 2015 / 2016
8. Reasons We Travel The following data are based on a survey fromAmerican TravelSurvey on why people travel.
Constructa pie graph forthe data and analyze the results.
Answer
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
Answer : 7
11. Find the sample standard deviation.
22 29 21 24 27 28 25 36
Answer: 4.8
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.)
Answer: 2.5%
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
Answer: Min = 31, Q1 = 58, Q2 = 72, Q3 = 83, Max = 99