MATH 110 - Introduction to Statistics Math 110 Module 2 EXAM
Descriptive Statistics: Tabular, Graphical & Numerical Methods
• Exam Page 1 (10 pts)
• Exam Page 2 (10 pts)
• Exam Page 3 (10 pts)
• Exam Page 4 (10 pts)
• Exam Page 5 (10 pts)
• Grade / Comments
Exam Page 1
During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Chicken Fish Turkey Fish Hamburger Fish
Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
Chicken Chicken Turkey Fish Hamburger Chicken Fish
a) Make a frequency distribution for this data.Sandwiches Ordered
Hamburger 8
Cheeseburger 6
Fish 17
Turkey 8
Chicken 8
Totals 47
b) Make a relative frequency distribution for this data. Include relative
percentages on this table.
Relative frequency distribution and percentage of sandwiches sold.
Sandwiches Calculations Relative frequency Relative percentage
Hamburger 8/47 0.17 17%
Cheeseburger 6/47 0.13 13%
Fish 17/47 0.36 36%
Turkey 8/47 0.17 17%
Chicken 8/47 0.17 17%
, Totals 1.00 100%
-2.0 points
Answer Key
During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Chicken Fish Turkey Fish Hamburger Fish
Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
Chicken Chicken Turkey Fish Hamburger Chicken Fish
a) Make a frequency distribution for this data.
Major Frequency
Hamburger 8
Cheeseburger 6
Fish 18
Turkey 7
Chicken 8
Total 47
b) Make a relative frequency distribution for this data. Include relative percentages on this table.
Exam Page 2
Consider the following data:
19 46 74 40 44 65 33 76 50 58 31 37 70 41 61 51 56 73 48 55
Find the 40th percentile of this data.
I = (P/100)n
(19,31,33,37,40,41,44,46,48,50,51,55,56,58,61,65,70,73,74,76)
I=(40/100) 20
I= (.40)20
I= 8
Therefore the 40th percentile is 46. This means that 40% of the observations are 46 or less.
Answer Key
Consider the following data:
19 46 74 40 44 65 33 76 50 58 31 37 70 41 61 51 56 73 48 55
Find the 40th percentile of this data.
Descriptive Statistics: Tabular, Graphical & Numerical Methods
• Exam Page 1 (10 pts)
• Exam Page 2 (10 pts)
• Exam Page 3 (10 pts)
• Exam Page 4 (10 pts)
• Exam Page 5 (10 pts)
• Grade / Comments
Exam Page 1
During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Chicken Fish Turkey Fish Hamburger Fish
Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
Chicken Chicken Turkey Fish Hamburger Chicken Fish
a) Make a frequency distribution for this data.Sandwiches Ordered
Hamburger 8
Cheeseburger 6
Fish 17
Turkey 8
Chicken 8
Totals 47
b) Make a relative frequency distribution for this data. Include relative
percentages on this table.
Relative frequency distribution and percentage of sandwiches sold.
Sandwiches Calculations Relative frequency Relative percentage
Hamburger 8/47 0.17 17%
Cheeseburger 6/47 0.13 13%
Fish 17/47 0.36 36%
Turkey 8/47 0.17 17%
Chicken 8/47 0.17 17%
, Totals 1.00 100%
-2.0 points
Answer Key
During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Hamburger Cheeseburger Fish Hamburger Turkey Fish Chicken
Chicken Fish Turkey Fish Hamburger Fish
Cheeseburger Fish Cheeseburger Hamburger Fish Fish
Cheeseburger Hamburger Fish Turkey Turkey Chicken Fish
Chicken Cheeseburger Fish Turkey Fish Fish Hamburger
Fish Fish Turkey Chicken Hamburger Fish Cheeseburger
Chicken Chicken Turkey Fish Hamburger Chicken Fish
a) Make a frequency distribution for this data.
Major Frequency
Hamburger 8
Cheeseburger 6
Fish 18
Turkey 7
Chicken 8
Total 47
b) Make a relative frequency distribution for this data. Include relative percentages on this table.
Exam Page 2
Consider the following data:
19 46 74 40 44 65 33 76 50 58 31 37 70 41 61 51 56 73 48 55
Find the 40th percentile of this data.
I = (P/100)n
(19,31,33,37,40,41,44,46,48,50,51,55,56,58,61,65,70,73,74,76)
I=(40/100) 20
I= (.40)20
I= 8
Therefore the 40th percentile is 46. This means that 40% of the observations are 46 or less.
Answer Key
Consider the following data:
19 46 74 40 44 65 33 76 50 58 31 37 70 41 61 51 56 73 48 55
Find the 40th percentile of this data.
