Calculate and interpret mean, median, and other measures of center and spread for a single data set.
90 original one-variable data questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
The average of five numbers is 12. If four of the numbers are 10, 11, 13, and 14, what is the fifth number?
Sum of five numbers = 12 × 5 = 60. Sum of the four known numbers = 10 + 11 + 13 + 14 = 48. Fifth number = 60 − 48 = 12.
What is the median of the data set {4, 7, 9, 12, 15}?
With five values already in order, the median is the middle (third) value: 9.
A student's exam average is 84 after 4 exams. If the student scores a 94 on the fifth exam, what is the new average?
Total from four exams = 84 × 4 = 336. Adding the fifth exam: 336 + 94 = 430. New average = 430 / 5 = 86.
The average of five numbers is 10. If four of the numbers are 9, 4, 14, 20, what is the fifth number?
Sum of five numbers = 10 × 5 = 50. Sum of the four known numbers = 9 + 4 + 14 + 20 = 47. Fifth number = 50 − 47 = 3.
The average of five numbers is 8. If four of the numbers are 2, 2, 15, 19, what is the fifth number?
Sum of five numbers = 8 × 5 = 40. Sum of the four known numbers = 2 + 2 + 15 + 19 = 38. Fifth number = 40 − 38 = 2.