Accuplacer Quantitative Reasoning, Algebra, and Statistics
The Accuplacer Next Generation exam includes a Quantitative Reasoning, Algebra, and Statistics test.
Most students need particular help with the statistics section of the test. Brush up your statistics skills with the following exercises and videos.
You will find algebra and quantitative reasoning exercises in the next section.
Statistics Problems
Instructions: Answer each of the questions below and then check your answers in the next section. You may want to view each video lesson before answering the question.
1) A salesperson buys gas every day at her local gas station. She has bought the following quantities of gas so far this week:
Monday 10 gallons
Tuesday 8 gallons
Wednesday 12 gallons
Thursday 20 gallons
What is the mean quantity in gallons for the week so far?
Calculating the Mean – Video Lesson
2) An student receives the following exam scores: 89, 65, 75, 68, 82, 74, 86. What is the median of his scores?
Determining the Median – Video Lesson
3) An student receives the following exam scores: 74, 62, 92, 80, 79, 86. What is the median of these scores?
4) A water company report the following usage values in units during one week: 105, 106, 104, 105, 107, 108, 110. What is the mode?
5) While participating in bingo on evening, prize winners received the following amounts in dollars: 12, 3, 65, 32, 18, 11, 4, 12, 5. What is the range in the amount of prizes in dollars?
Algebra Practice
Quantitative Reasoning Problems
Answers to the Statistics Problems
1) 12.5 gallons
2) 75
3) 79.5
4) 105
5) 62
Explanations for the Statistics Problems
Problem 1:
1) The mean is the same thing as the average.
Add the amounts together: 10 + 8 + 12 + 20 = 50
We have 4 days in the week so far, so divide to get the mean.
50 ÷ 4 = 12.5 gallons
Problem 2:
2) To find the median, put the numbers in ascending order.
The problem provides the scores:
89, 65, 75, 68, 82, 74, 86
Put the numbers in ascending order:
65, 68, 74, 75, 82, 86, 89
Then find the one that is in the middle:
65, 68, 74, 75, 82, 86, 89
Problem 3:
3) Finding the median is easy when you have an odd number of items.
What do you do when there is an even number of items, and nothing is exactly in the middle?
In this case, we have to take an average of the two middle values.
The problem provides the scores:
74, 62, 92, 80, 79, 86
Put the numbers in ascending order:
62, 74, 79, 80, 86, 92
Then find the two that are in the middle:
62, 74, 79, 80, 86, 92
Finally, calculate the average of the two mid-values:
(79 + 80) ÷ 2 = 79.5
Problem 4:
4) The mode is the number that occurs the most frequently in the set.
Our data set is: 105, 106, 104, 105, 107, 108, 110.
The number 105 occurs 2 times in the set.
This is more frequently than any other number in the set.
So, the mode is 105.
No Mode
Remember that if no value exists more than one time in the data set, then there is no mode.
Problem 5:
5) To calculate the range, the low number in the set is deducted from the high number in the set.
The problem set is: 12, 3, 65, 32, 18, 11, 4, 12, 5
The high number is 65 and the low number is 3, so the range is 62.
65 – 3 = 62
Free Online Quantitative Reasoning Test
Get 3 Quantitative Reasoning, Algebra, and Statistics Tests
What’s on the Accuplacer Quantitative Reasoning, Algebra, and Statistics Section?
This part of the exam includes questions on:
- Rational numbers
- Ratios
- Proportions
- Exponents
- Algebraic expressions
- Linear equations
- Linear applications
- Linear graphs
- Probability
- Sets
- Statistics
- Basic geometry concepts
Exam Sam’s Quantitative Reasoning, Algebra, and Statistics Tests
Try our Accuplacer Quantitative Reasoning, Algebra, and Statistics practice tests.
Take your tests online, like the real exam.
You will get a score at the end of each test.
You will see explanations to the answers and exam tips after each question.
The practice tests are in the same format as the actual exam, so all of the skill areas are covered.
You will get 3 Accuplacer Quantitative Reasoning, Algebra, and Statistics online mock exams that have 20 questions each.
Why not try the free version of the online tests?
