PORTAGE LEARNING MATH 110 MODULE 2 /
QUESTIONS AND CORRECT EXPLANATIONS
2026/2027 GRADED A+
Exam Format
Section Topic Number of Questions
A Frequency Distributions & Charts 5
B Measures of Central Tendency 5
C Percentiles & Quartiles 5
D Measures of Dispersion (Variance & Standard Deviation) 5
E Z-Scores & Empirical Rule 5
F Mixed Application Problems 5
Total 30
Section A: Frequency Distributions & Charts (Questions 1-5)
1. Define frequency distribution as used in statistics.
Correct Answer: A tabular summary of data showing the number (frequency) of observations in
each of several distinctive (nonoverlapping) categories or classes.
, Rationale: Frequency distributions organize raw data into a structured format, making it easier
to understand patterns and trends. Each data point belongs to exactly one class, and classes
should not overlap to avoid double-counting observations.
2. During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Cheeseburger, Fish, Cheeseburger, Hamburger, Fish, Chicken, 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.
Correct Answer:
Sandwiches Frequency
Fish 20
Chicken 9
Hamburger 9
Cheeseburger 8
Turkey 7
Total 53
Rationale: Counting each sandwich type from the list yields the frequencies above. Fish appears
most frequently (20 times), while Turkey appears least (7 times). The total frequency (53)
represents the total number of sandwiches ordered.
b) Make a relative frequency distribution for this data. Include relative percentages.
QUESTIONS AND CORRECT EXPLANATIONS
2026/2027 GRADED A+
Exam Format
Section Topic Number of Questions
A Frequency Distributions & Charts 5
B Measures of Central Tendency 5
C Percentiles & Quartiles 5
D Measures of Dispersion (Variance & Standard Deviation) 5
E Z-Scores & Empirical Rule 5
F Mixed Application Problems 5
Total 30
Section A: Frequency Distributions & Charts (Questions 1-5)
1. Define frequency distribution as used in statistics.
Correct Answer: A tabular summary of data showing the number (frequency) of observations in
each of several distinctive (nonoverlapping) categories or classes.
, Rationale: Frequency distributions organize raw data into a structured format, making it easier
to understand patterns and trends. Each data point belongs to exactly one class, and classes
should not overlap to avoid double-counting observations.
2. During an hour at a fast food restaurant, the following types of sandwiches are ordered:
Cheeseburger, Fish, Cheeseburger, Hamburger, Fish, Chicken, 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.
Correct Answer:
Sandwiches Frequency
Fish 20
Chicken 9
Hamburger 9
Cheeseburger 8
Turkey 7
Total 53
Rationale: Counting each sandwich type from the list yields the frequencies above. Fish appears
most frequently (20 times), while Turkey appears least (7 times). The total frequency (53)
represents the total number of sandwiches ordered.
b) Make a relative frequency distribution for this data. Include relative percentages.
