Easy GRE Data Analysis Set 1 Practice Questions

Approximately 25% of the GRE Quantitative Reasoning section focuses on data analysis, making it a critical area for scoring success.

Easy GRE Data Analysis Set 1 Practice Questions serve as an introductory foundation for interpreting graphs, calculating basic statistics, and understanding probability. These questions test your ability to synthesize information from visual displays and apply fundamental mathematical concepts to real-world datasets. To build a solid foundation, students often start with GRE Prep resources that emphasize conceptual clarity before moving to complex multi-step problems.

Concept Explanation

Data analysis on the GRE involves interpreting and analyzing data presented in tables, bar graphs, circle graphs, line graphs, and scatter plots.

The core concepts covered in this level include descriptive statistics—such as mean, median, mode, and range—and basic probability. The mean (average) is the sum of all values divided by the number of values. The median is the middle value in a sorted list, while the mode is the most frequent value. For visual data, you must accurately read axes, identify trends, and calculate percentage changes. Understanding descriptive statistics is essential for navigating these sets. You can also find GRE Practice Questions with Explanations Practice Questions with Answers to see how these theories apply to actual exam scenarios.

Solved Examples

1. Problem: A set of five numbers is {12, 15, 12, 18, 23}. Find the mean and the median.
   • Step 1: To find the mean, sum the numbers: $12 + 15 + 12 + 18 + 23 = 80$.
   • Step 2: Divide the sum by the count of numbers: $\ \frac{80}{5} = 16$. The mean is 16.
   • Step 3: To find the median, arrange the numbers in order: {12, 12, 15, 18, 23}.
   • Step 4: Identify the middle value. The third number in the list is 15. The median is 15.
2. Problem: In a pie chart representing a monthly budget of $4,000, the "Rent" sector has an angle of $108^\circ$. How much money is spent on rent?
   • Step 1: Recognize that a full circle is $360^\circ$.
   • Step 2: Calculate the fraction of the budget spent on rent: $\ \frac{108}{360} = 0.3$ or 30%.
   • Step 3: Multiply the total budget by this decimal: $4,000 \ \times 0.3 = 1,200$.
   • Step 4: The amount spent on rent is $1,200.
3. Problem: If a bag contains 4 red marbles, 6 blue marbles, and 10 green marbles, what is the probability of picking a blue marble at random?
   • Step 1: Determine the total number of marbles: $4 + 6 + 10 = 20$.
   • Step 2: Identify the number of favorable outcomes (blue marbles): 6.
   • Step 3: Use the probability formula $P = \ \frac{\ \text{favorable outcomes}}{\ \text{total outcomes}}$.
   • Step 4: Calculate: $\ \frac{6}{20} = \ \frac{3}{10} = 0.3$.

Practice Questions

1. A student’s test scores are 85, 90, 75, and 90. What is the average (arithmetic mean) of these scores?

2. A bar chart shows that Company A sold 500 units in January and 750 units in February. What was the percentage increase in sales from January to February?

3. In a set of data: {4, 8, 15, 16, 23, 42}, what is the range?

4. If the median of the list {2, 7, x, 12, 15} is 10, and the list is in ascending order, what is the value of x?

5. A jar contains 50 coins: 20 quarters, 15 dimes, 10 nickels, and 5 pennies. If one coin is chosen at random, what is the probability it is NOT a quarter?

6. A line graph shows the temperature at noon for 5 days: 68, 72, 70, 72, and 75 degrees. What is the mode of these temperatures?

7. The ratio of men to women in a room is 3:5. If there are 40 people in total, how many are women?

8. If the mean of three numbers is 20 and two of the numbers are 15 and 25, what is the third number?

Answers & Explanations

1. 85: Add the scores: $85 + 90 + 75 + 90 = 340$. Divide by the number of tests: $\ \frac{340}{4} = 85$.
2. 50%: Percentage increase is calculated as $\ \frac{\ \text{New} - \ \text{Old}}{\ \text{Old}} \ \times 100$. Here: $\ \frac{750 - 500}{500} = \ \frac{250}{500} = 0.5$, which is 50%.
3. 38: The range is the difference between the highest and lowest values: $42 - 4 = 38$.
4. 10: In an ordered list of 5 items, the median is the 3rd item. Therefore, $x = 10$.
5. 0.6: There are 50 total coins. The number of coins that are NOT quarters is $50 - 20 = 30$. The probability is $\ \frac{30}{50} = 0.6$.
6. 72: The mode is the value that appears most frequently. In the list {68, 72, 70, 72, 75}, 72 appears twice.
7. 25: The total parts in the ratio are $3 + 5 = 8$. Each part represents $\ \frac{40}{8} = 5$ people. Since women represent 5 parts, there are $5 \ \times 5 = 25$ women.
8. 20: If the mean of 3 numbers is 20, their sum must be $3 \ \times 20 = 60$. Subtract the known numbers: $60 - 15 - 25 = 20$.

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 specific physical middle point of a data set when ordered numerically. Mean is sensitive to outliers, whereas the median provides a better sense of the "center" in skewed distributions.

How do I calculate percentage change for GRE data tables?

Subtract the original value from the new value, divide that difference by the original value, and multiply the result by 100. This formula is vital for interpreting growth or decline in bar and line graphs.

What is a standard deviation in GRE terms?

Standard deviation measures how spread out the numbers in a data set are around the mean. A low standard deviation indicates values are close to the mean, while a high standard deviation indicates a wider spread.

Are calculators allowed for GRE data analysis questions?

Yes, an on-screen calculator is provided during the GRE Quantitative Reasoning section to assist with basic arithmetic. However, you should use it sparingly to save time on simpler calculations like GRE Practice Questions with Answers Practice Questions with Answers.

What are the most common graph types on the GRE?

The GRE frequently uses bar graphs, line graphs, circle graphs (pie charts), and tables. Occasionally, you may encounter scatter plots or box plots, which require understanding statistical distribution and data correlation.