Easy GRE Data Analysis Practice Test Practice Questions

Data analysis questions account for approximately 25% of the Quantitative Reasoning section on the GRE, making basic statistical literacy essential for a high score. An Easy GRE Data Analysis Practice Test focuses on fundamental skills such as interpreting bar graphs, calculating the arithmetic mean, and understanding basic probability. By mastering these foundational concepts, you build the confidence necessary to tackle the more complex data sets found in the GRE Prep curriculum. This guide provides a structured approach to these common question types, ensuring you can extract information quickly and accurately from tables and charts.

Concept Explanation

Data analysis on the GRE involves the ability to interpret, analyze, and model data through various statistical methods and graphical representations. At its core, this section tests your proficiency in descriptive statistics, including measures of central tendency like the mean, median, and mode, as well as measures of position such as percentiles. You will also encounter elementary probability and counting methods, which require calculating the likelihood of specific outcomes. Visual literacy is equally important; you must be able to read and interpret data from line graphs, bar charts, circle graphs (pie charts), and boxplots. Unlike other math sections that rely on abstract algebra, data analysis is grounded in real-world scenarios, such as financial reports, scientific findings, or demographic studies. For those looking to refine their skills further, using GRE practice questions with explanations can help clarify how to navigate complex data visuals efficiently.

Solved Examples

The following examples demonstrate how to approach standard data analysis problems using step-by-step logic.

1. Example 1: Arithmetic Mean
   A student took four tests and received scores of 82, 88, 91, and 83. What score must the student earn on the fifth test to have an average (arithmetic mean) of exactly 87?
   1. First, determine the total sum required for five tests: $$87 \times 5 = 435$$
   2. Calculate the sum of the four existing scores: $$82 + 88 + 91 + 83 = 344$$
   3. Subtract the current sum from the required total: $$435 - 344 = 91$$
   4. The student must score a 91 on the fifth test.
2. Example 2: Interpreting a Pie Chart
   A monthly budget of $3,000 allocates 30% for rent, 15% for groceries, and 10% for utilities. How much money is spent on rent and groceries combined?
   1. Identify the total percentage for both categories: $$30\% + 15\% = 45\%$$
   2. Convert the percentage to a decimal: $0.45$
   3. Multiply the total budget by this decimal: $$3,000 \times 0.45 = 1,350$$
   4. The combined expenditure is $1,350.
3. Example 3: Simple Probability
   A jar contains 5 red marbles, 8 blue marbles, and 7 green marbles. If one marble is picked at random, what is the probability that it is not blue?
   1. Find the total number of marbles: $$5 + 8 + 7 = 20$$
   2. Identify the number of marbles that are "not blue" (red and green): $$5 + 7 = 12$$
   3. Form a fraction of favorable outcomes over total outcomes: $$\frac{12}{20}$$
   4. Simplify the fraction: $$\frac{12 \div 4}{20 \div 4} = \frac{3}{5}$$
   5. The probability is $\frac{3}{5}$ or 0.6.

Practice Questions

Test your skills with these Easy GRE Data Analysis Practice Test questions. For more variety, check out unlimited GRE practice questions.

1. The median of a set of 7 distinct integers is 15. If the three smallest integers are removed from the set, what happens to the median of the remaining 4 integers?
2. In a group of 40 people, 25 speak Spanish, 20 speak French, and 10 speak both. How many people speak neither Spanish nor French?
3. A company's revenue increased from $500,000 in 2020 to $625,000 in 2021. What was the percent increase in revenue?

4. Find the range of the following set of numbers: \{ -12, 4, 19, 0, 22, -5 \}.
5. If the average of $x, y, \text{ and } z$ is 12, what is the average of $x+2, y+4, \text{ and } z+6$?
6. A bag contains 4 red balls and 6 white balls. If two balls are drawn at random without replacement, what is the probability that both are red?
7. Referencing a bar chart where Year 1 sales were $40M and Year 2 sales were $50M, what is the ratio of Year 2 sales to Year 1 sales?
8. The standard deviation of a set $S$ is 0. What can be concluded about the elements in set $S$?
9. A set contains the numbers \{ 2, 4, 4, 7, 9 \}. Which is greater: the mean or the median?
10. In a standard normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

Answers & Explanations

1. The median will increase. In the original set of 7, the median was the 4th term. Removing the 3 smallest terms leaves the 4th, 5th, 6th, and 7th terms. The new median is the average of the two middle terms of this new set (originally the 5th and 6th terms), which must be greater than 15.
2. 5 people. Using the formula for set union: $n(A \cup B) = n(A) + n(B) - n(A \cap B)$. Here, $25 + 20 - 10 = 35$. Since there are 40 people total, $40 - 35 = 5$ speak neither.
3. 25%. Percent increase is calculated as $$\frac{ \text{New} - \text{Old}}{ \text{Old}} \times 100$$. So, $$\frac{625,000 - 500,000}{500,000} = \frac{125,000}{500,000} = 0.25 \text{ or } 25\%$$.
4. 34. Range is the difference between the maximum and minimum values. $$22 - (-12) = 22 + 12 = 34$$.
5. 16. The total sum of $x, y, z$ is $12 \times 3 = 36$. The new sum is $$36 + (2 + 4 + 6) = 36 + 12 = 48$$. The new average is $$48 \div 3 = 16$$.
6. 2/15. The probability of the first ball being red is $4/10$. Since there is no replacement, the probability of the second being red is $3/9$. Multiply them: $$\frac{4}{10} \times \frac{3}{9} = \frac{12}{90} = \frac{2}{15}$$.
7. 5:4. The ratio is $$\frac{50}{40}$$, which simplifies to $5:4$.
8. All elements are identical. Standard deviation measures dispersion; if it is 0, there is no variation between the data points and the mean.
9. The mean is greater. The median is the middle value, which is 4. The mean is $$\frac{2+4+4+7+9}{5} = \frac{26}{5} = 5.2$$. Thus, $5.2 > 4$.
10. 68%. According to the empirical rule for normal distributions, approximately 68% of data points fall within one standard deviation of the mean. For more on distribution shapes, visit Khan Academy's Statistics modules.

1. If a data set consists of the values {5, 5, 5, 5, 5}, what is the standard deviation?

• A0
• B1
• C5
• D25

Frequently Asked Questions

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

The mean is the calculated average of all numbers in a set, while the median is the middle value when the numbers are ordered from least to greatest. The mean is sensitive to outliers, whereas the median provides a better sense of the "center" for skewed data sets.

How do I calculate percent change for data analysis questions?

To find the percent change, subtract the old value from the new value, divide that difference by the original (old) value, and multiply by 100. This formula works for both percent increase and percent decrease scenarios on the exam.

Are calculators allowed during the GRE Quantitative section?

Yes, an on-screen calculator is provided during the computer-based GRE for basic arithmetic, including square roots and percentages. However, it is often faster to perform simple data analysis calculations mentally or on scratch paper to save time.

What types of graphs are most common on the GRE?

The GRE frequently uses bar graphs, line graphs, and pie charts to present data in the Quantitative Reasoning section. You may also encounter less common visuals like scatterplots and boxplots, which require understanding quartiles and trends. You can practice with an AI Exam Simulator to see these formats in action.

What is a normal distribution in GRE terms?

A normal distribution is a bell-shaped curve where the mean, median, and mode are all equal and located at the center. The GRE expects you to know the 68-95-99.7 rule, which describes the percentage of data within one, two, and three standard deviations of the mean.