Problem Solving & Data Analysis

Mean, Median, and Mode

Compute and reason about measures of center. Each question below has a complete worked solution.

This collection of 25 SAT math practice questions on mean, median, and mode is sequenced by difficulty so you can warm up on routine problems and progress to the kind of question that separates a competitive math score from an elite one. The first eight problems are calibrated to roughly easy College Board difficulty — the kind that appears in the first third of the math section. The next ten are medium difficulty: the bread-and-butter of the middle of the test. The final seven push into hard territory, where the question writers add an extra step, hide a sign change, or ask for an unrelated expression after you solve.

Work each question on paper before you look at the worked solution. The solution is there to confirm or correct your work, not to lead you. If you cannot start a problem after 30 seconds, mark it and come back; if you cannot finish after 90 seconds, look at the first line of the solution and try again. That structured exposure to the worked solution — not a glance, not a copy — is the most reliable way to convert a missed question into a permanent skill.

#QuestionDifficultyBand
1 The values 12, 19, 11, 29, 22 were recorded in a science experiment. What is the mean of the data se… easy 400-500 Open
2 The values 28, 12, 29, 18, 6, 2 were recorded in a survey. What is the median of the data set? easy 400-500 Open
3 The values 18, 15, 5, 24, 29, 15, 20 were recorded in a science experiment. What is the mean of the … easy 400-500 Open
4 The values 22, 17, 26, 23, 18, 27, 30, 7 were recorded in a survey. What is the median of the data s… easy 400-500 Open
5 The values 1, 1, 6, 21, 15 were recorded in a science experiment. What is the mean of the data set? easy 400-500 Open
6 The values 4, 20, 29, 7, 18, 30 were recorded in a survey. What is the median of the data set? easy 400-500 Open
7 The values 30, 20, 18, 1, 10, 27, 23 were recorded in a science experiment. What is the mean of the … easy 500-600 Open
8 The values 17, 12, 23, 1, 20, 3, 7, 8 were recorded in a survey. What is the median of the data set? easy 500-600 Open
9 The values 5, 17, 23, 22, 2 were recorded in a science experiment. What is the mean of the data set? medium 500-600 Open
10 The values 4, 29, 11, 24, 17, 13 were recorded in a survey. What is the median of the data set? medium 500-600 Open
11 The values 26, 2, 25, 29, 21, 2, 4 were recorded in a science experiment. What is the mean of the da… medium 500-600 Open
12 The values 24, 18, 25, 30, 14, 2, 2, 26 were recorded in a survey. What is the median of the data se… medium 500-600 Open
13 The values 23, 27, 22, 3, 26 were recorded in a science experiment. What is the mean of the data set… medium 600-700 Open
14 The values 24, 19, 23, 24, 20, 28 were recorded in a survey. What is the median of the data set? medium 600-700 Open
15 The values 27, 28, 14, 8, 29, 30, 16 were recorded in a science experiment. What is the mean of the … medium 600-700 Open
16 The values 9, 26, 30, 11, 14, 29, 19, 20 were recorded in a survey. What is the median of the data s… medium 600-700 Open
17 The values 14, 6, 18, 3, 10 were recorded in a science experiment. What is the mean of the data set? medium 600-700 Open
18 The values 21, 18, 6, 30, 19, 18 were recorded in a survey. What is the median of the data set? medium 600-700 Open
19 The values 16, 4, 8, 15, 14, 21, 13 were recorded in a science experiment. What is the mean of the d… hard 600-700 Open
20 The values 1, 29, 1, 19, 22, 29, 3, 17 were recorded in a survey. What is the median of the data set… hard 700-800 Open
21 The values 8, 22, 21, 24, 19 were recorded in a science experiment. What is the mean of the data set… hard 700-800 Open
22 The values 25, 10, 9, 18, 6, 5 were recorded in a survey. What is the median of the data set? hard 700-800 Open
23 The values 27, 20, 7, 27, 23, 20, 26 were recorded in a science experiment. What is the mean of the … hard 700-800 Open
24 The values 15, 4, 6, 18, 30, 20, 23, 3 were recorded in a survey. What is the median of the data set… hard 700-800 Open
25 The values 7, 2, 24, 9, 22 were recorded in a science experiment. What is the mean of the data set? hard 700-800 Open