MATH 110 INTRODUCTION TO STATISTICS – PORTAGE LEARNING – MODULES 1–10 COMPREHENSIVE EXAM WITH ANSWER KEY AND PRACTICE PROBLEMS

MATH 110 INTRODUCTION TO
STATISTICS – PORTAGE LEARNING –
MODULES 1–10 COMPREHENSIVE EXAM
WITH ANSWER KEY AND PRACTICE
PROBLEMS
Portage Learning
Modules 1–10
Instructions:

• Answer all questions.
• Show all calculations where applicable.
• Round answers to two decimal places unless otherwise stated.
• Use a calculator where needed.
• Total Points: 100
• Time Allowed: 2 Hours



Part I: Descriptive Statistics (20 Points)
Question 1 (5 Points)
The following data represent the number of hours students studied for an exam:
12, 15, 18, 10, 20, 16, 14, 19, 11, 17
a) Calculate the mean.

b) Determine the median.

c) Identify the mode.



Question 2 (5 Points)
A company recorded the following monthly sales figures:

, 45, 52, 48, 60, 55, 47, 50
a) Find the range.

b) Calculate the variance.

c) Determine the standard deviation.



Question 3 (5 Points)
Construct a frequency distribution table for the following data:
3, 5, 7, 4, 5, 6, 7, 8, 5, 4, 6, 7, 5, 6, 8
Include:

• Frequency
• Relative Frequency
• Cumulative Frequency


Question 4 (5 Points)
Explain the difference between:
a) Population and sample

b) Parameter and statistic

Provide one example of each.




Part II: Probability (20 Points)
Question 5 (5 Points)
A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles.
a) What is the probability of drawing a red marble?

b) What is the probability of drawing a blue or green marble?

c) What is the probability of not drawing a red marble?