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GRE Math: Statistics Practice Test
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GRE Math: Statistics Practice Test
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11 Questions

1. A student’s average score for 10 tests was x. The grader then discovered that there was an error on two of the tests. On one of the tests, the student’s score should have been 10 points lower. On another test, the student’s score should have been 20 points higher. After the grader corrects these mistakes, what is the student’s new average, in terms of x?
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The preceding table shows a business’s spending over a 25-day period, in thousands of dollars. For each number amount spent in the first row, the second row gives the number of days that the business spent that amount. What was the median amount of money that the business spent during the 25-day period?
3. Janet’s average for four tests was 75. If she scored 63 and 83 on the first two tests, what was her average for the last two tests?
4. Bob’s average for three tests was 83. If he scored 72 and 94 on the first two tests, what was his score on the third test?
5. A certain company has only directors and managers. The company has 300 directors and 200 managers. If the average age of the directors is 42 and the average age of the managers is 38, what is the average age of all the company’s employees?
6. What is the average of n, n + 1, n + 7, n + 9, and n + 13, in terms of n?
7. If a is the standard deviation of b, c, and d, what is the standard deviation of b + 3, c + 3, and d + 3, in terms of a?
8. The average of a and b is 70. The average of a and c is 100. What is b – c?
9. In 2012, a store’s average monthly revenue was $20,000. For the first 10 months of the year, the store’s average monthly revenue was $18,000. If the revenue in December was 50% greater than the revenue in November, what was the store’s revenue in November?
10. The set of numbers 2, 3, 5, 9, 11, x is in increasing order. If the average of the set equals the median, what is x?
11. Three crates have an average weight of 70 pounds and a median weight of 90 pounds. What is the maximum possible weight, in pounds, of the lightest box?

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