Easy GRE Statistics Practice Test Practice Questions

Statistics represents roughly 25% of the quantitative reasoning section, making it a vital area for any test-taker to address. This easy GRE statistics practice test practice questions guide focuses on the foundational concepts of data analysis, such as measures of central tendency, range, and basic probability. While the math itself is rarely complex at this level, the GRE often tests your ability to interpret data sets quickly and accurately under timed conditions. By solidifying your understanding of these elementary principles, you build the necessary confidence to tackle more advanced GRE Prep topics like standard deviation and normal distributions later in your study journey.

Concept Explanation

GRE statistics is the study of data sets through measures of center, spread, and frequency to describe numerical information. At the introductory level, you must be comfortable with the following core concepts:

• Arithmetic Mean: Often called the average, calculated by dividing the sum of all values by the number of values in the set.
• Median: The middle value of a data set when ordered from least to greatest; if the set has an even number of values, it is the average of the two middle terms.
• Mode: The value that appears most frequently in a data set.
• Range: The difference between the greatest and least values in a set.
• Probability: The likelihood of an event occurring, expressed as the ratio of desired outcomes to total possible outcomes.

Understanding these basics is the first step toward succeeding with free GRE practice questions that involve data interpretation. You can also use tools like a AI Question Generator to create custom sets based on these specific topics.

Solved Examples

Review these step-by-step solutions to understand how to apply basic statistical formulas to GRE-style problems.

1. Example 1 (Mean): A student takes five exams and receives scores of 82, 88, 91, 75, and 84. What is the arithmetic mean of the scores?
   1. Sum the scores: $82 + 88 + 91 + 75 + 84 = 420$.
   2. Count the number of exams: $n = 5$.
   3. Divide the sum by the count: $\frac{420}{5} = 84$.
   4. The mean score is 84.
2. Example 2 (Median): Find the median of the following set of numbers: {12, 5, 22, 18, 7, 12}.
   1. Arrange the numbers in ascending order: {5, 7, 12, 12, 18, 22}.
   2. Identify the number of terms: $n = 6$ (even).
   3. Find the two middle terms: 12 and 12.
   4. Calculate their average: $\frac{12 + 12}{2} = 12$.
   5. The median is 12.
3. Example 3 (Range): In a set of integers where the smallest value is -4 and the largest value is 15, what is the range?
   1. Identify the maximum value: 15.
   2. Identify the minimum value: -4.
   3. Subtract the minimum from the maximum: $15 - (-4) = 15 + 4 = 19$.
   4. The range is 19.

Practice Questions

Test your skills with these easy GRE statistics practice test practice questions. Ensure you read each prompt carefully before calculating.

1. What is the arithmetic mean of the set {10, 20, 30, 40, 50}?

2. A bag contains 4 red marbles, 6 blue marbles, and 10 green marbles. If one marble is picked at random, what is the probability it is blue?

3. If the median of five consecutive integers is 12, what is the sum of the five integers?

4. In a data set {2, 4, 4, 7, 9, 12, 15}, which value is the mode?

5. If the average of $x, y, \text{ and } z$ is 15, what is the sum of $x, y, \text{ and } z$?

6. Find the range of the set {-10, -5, 0, 5, 20}.

7. A set of 4 numbers has a mean of 20. If a fifth number, 30, is added to the set, what is the new mean?

8. What is the median of the set {4, 1, 9, 7, 3}?

9. A fair six-sided die is rolled. What is the probability of rolling an even number?

10. If the range of a set is 0, what can be concluded about the numbers in the set?

Answers & Explanations

1. 30: Sum the values $(10+20+30+40+50 = 150)$ and divide by the count $(150 / 5 = 30)$.
2. 3/10 or 0.3: Total marbles = $4 + 6 + 10 = 20$. Blue marbles = 6. Probability = $\frac{6}{20} = \frac{3}{10}$.
3. 60: If the median of 5 consecutive integers is 12, the integers are 10, 11, 12, 13, 14. Their sum is $10+11+12+13+14 = 60$.
4. 4: The mode is the most frequent value. Here, 4 appears twice, while all other numbers appear once.
5. 45: Since $\text{Mean} = \frac{ \text{Sum}}{ \text{Count}}$, then $\text{Sum} = \text{Mean} \times \text{Count}$. Here, $15 \times 3 = 45$.
6. 30: Maximum is 20, minimum is -10. Range = $20 - (-10) = 30$.
7. 22: Original sum = $4 \times 20 = 80$. New sum = $80 + 30 = 110$. New mean = $\frac{110}{5} = 22$.
8. 4: Ordered set: {1, 3, 4, 7, 9}. The middle value is 4.
9. 1/2 or 0.5: Total outcomes = {1, 2, 3, 4, 5, 6}. Even outcomes = {2, 4, 6}. Probability = $\frac{3}{6} = \frac{1}{2}$.
10. All numbers are identical: For the difference between the max and min to be 0, the max and min must be the same value, meaning all items in the set are equal.

1. If a data set consists of the numbers {5, 5, 5, 5}, what is the range?

• A5
• B1
• C0
• D20

Frequently Asked Questions

What is the difference between mean and median on the GRE?

The mean is the calculated average of all values, while the median is the physical middle point of the data when sorted. The median is often a better measure of center when a data set contains extreme outliers that might skew the mean.

Can a data set have more than one mode?

Yes, if two or more values appear with the same highest frequency, the set is considered bimodal or multimodal. If no value repeats, the set is said to have no mode.

How do you calculate the weighted mean?

To find a weighted mean, multiply each value by its corresponding weight (frequency or percentage), sum those products, and divide by the total sum of the weights. This is common in GRE problems involving GPA or mixed averages.

Does the GRE provide a calculator for statistics questions?

The GRE provides an on-screen calculator for the Quantitative Reasoning section, which you can use for basic arithmetic like summing large lists of numbers to find the mean. However, you should still practice mental math for simpler sets to save time.

What is the probability of an impossible event?

The probability of an impossible event is always 0, while the probability of a certain event is 1. All other probabilities on the GRE will fall between these two values, often expressed as fractions or decimals.

Where can I find more practice for GRE Quantitative Reasoning?

You can explore GRE practice questions with explanations or use an AI Exam Simulator to mimic the actual test environment. These resources help bridge the gap between easy concepts and high-difficulty exam problems.