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SAT mean, median, mode, and range practice questions test whether students can calculate measures of center and spread, solve missing-value problems, interpret frequency tables, combine group averages, and understand the effect of outliers and transformations. This guide includes 70 SAT-style questions that begin with basic calculations and move into weighted means, frequency distributions, missing values, data transformations, outliers, and harder mixed statistics models.
What Should You Know Before Practicing Mean, Median, Mode, and Range?
In This Guide – 70 SAT Mean, Median, Mode, and Range Practice Questions
Start With SAT Math Topic-Wise Practice
Statistics practice becomes more useful when it is connected to a weekly score plan, mock test review, and targeted SAT Math correction.
Download the SAT Prep Guide E-Book
Use the SAT Prep Guide E-Book to organize mean, median, mode, range, frequency-table, and data-analysis practice and connect every practice set with a clear score improvement plan.
Download SAT Prep E-Book GuideStatistics questions appear mainly in SAT Problem-Solving and Data Analysis. Students may need to calculate a measure directly, reconstruct a missing value, compare groups, interpret a frequency table, calculate a weighted mean, or explain how an outlier or transformation changes the data.
| Skill Area | What It Tests | Common SAT Trap | Practice Set |
|---|---|---|---|
| Mean basics | Totals, missing values, and combined averages | Using the wrong number of values | Q1-Q15 |
| Median, mode, and range | Order, frequency, middle values, and spread | Finding the median before sorting | Q16-Q30 |
| Frequency tables | Weighted totals, medians, and modes | Ignoring frequency as a multiplier | Q31-Q45 |
| Outliers and transformations | Resistance, shifts, scaling, and spread | Assuming every statistic changes the same way | Q46-Q55 |
| Hard mixed statistics | Missing values, weighted groups, and transformed data | Skipping one part of a multi-step relationship | Q56-Q70 |
SAT strategy: For missing-value mean questions, calculate the required total first. For median questions, sort the data before doing anything else.
To begin your preparation with organized practice, download our free SAT Prep E-Book, SAT Math Question Bank, and SAT English Question Bank. These tools are intended to assist students in comprehending the style of the Digital SAT, increasing their accuracy, and boosting their self-assurance prior to test day.
These questions focus on direct averages, missing values, totals, combined groups, and changes to a data set.
What is the mean of 4, 6, 8, 10?
Which choice is correct?
A) 6
B) 7
C) 8
D) 9
Correct answer: B) 7
The total is 28. Divide by 4 to get 7.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 12, 15, 18, 21, 24?
Which choice is correct?
A) 17
B) 18
C) 19
D) 20
Correct answer: B) 18
The total is 90. Divide by 5 to get 18.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 3, 7, 9, 13?
Which choice is correct?
A) 7
B) 8
C) 9
D) 10
Correct answer: B) 8
The total is 32. Divide by 4 to get 8.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 2.5, 3.5, 4.5, 5.5?
Which choice is correct?
A) 3
B) 4
C) 5
D) 6
Correct answer: B) 4
The total is 16. Divide by 4 to get 4.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 5, 9, 12, 14?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
The total is 40. Divide by 4 to get 10.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 8, 10, 13, 17, 22?
Which choice is correct?
A) 13
B) 14
C) 15
D) 16
Correct answer: B) 14
The total is 70. Divide by 5 to get 14.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 6, 7, 11, 16?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
The total is 40. Divide by 4 to get 10.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 20, 24, 28, 32?
Which choice is correct?
A) 25
B) 26
C) 27
D) 28
Correct answer: B) 26
The total is 104. Divide by 4 to get 26.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 7, 7, 7, 7, 7?
Which choice is correct?
A) 6
B) 7
C) 8
D) 9
Correct answer: B) 7
The total is 35. Divide by 5 to get 7.
SAT trap: The mean is the sum divided by the number of values.
What is the mean of 14, 16, 18, 20, 22, 24?
Which choice is correct?
A) 18
B) 19
C) 20
D) 21
Correct answer: B) 19
The total is 114. Divide by 6 to get 19.
SAT trap: The mean is the sum divided by the number of values.
The mean of 6, 8, and x is 10. What is x?
Which choice is correct?
A) 15
B) 16
C) 17
D) 18
Correct answer: B) 16
A mean of 10 for 3 values gives a total of 30. Since 6 + 8 = 14, x = 16.
SAT trap: Use totals and update the number of values correctly.
The mean of 5 numbers is 18. What is their total?
Which choice is correct?
A) 85
B) 90
C) 95
D) 100
Correct answer: B) 90
Total = mean × number of values = 18 × 5 = 90.
SAT trap: Use totals and update the number of values correctly.
The mean of 4 numbers is 12. If a fifth number, 20, is added, what is the new mean?
Which choice is correct?
A) 12.6
B) 13.1
C) 13.6
D) 14.1
Correct answer: C) 13.6
The original total is 48. Add 20 to get 68, then divide by 5 to get 13.6.
SAT trap: Use totals and update the number of values correctly.
Group A has 20 students with mean 70. Group B has 30 students with mean 80. What is the combined mean?
Which choice is correct?
A) 71
B) 76
C) 81
D) 86
Correct answer: B) 76
The combined total is 20(70) + 30(80) = 3,800. Divide by 50 to get 76.
SAT trap: Use totals and update the number of values correctly.
A class has 10 students with mean score 72. After one new student joins, the mean becomes 74. What was the new student’s score?
Which choice is correct?
A) 89
B) 94
C) 99
D) 104
Correct answer: B) 94
The old total is 720 and the new total is 814. The new score is 814 – 720 = 94.
SAT trap: Use totals and update the number of values correctly.
Build Stronger SAT Statistics Skills
Use topic-wise practice to connect averages, frequency tables, percentages, and real SAT Math timing.
These questions require ordering data, identifying middle values, recognizing repeated values, and calculating spread.
What is the median of 3, 5, 7, 9, 11?
Which choice is correct?
A) 6
B) 7
C) 8
D) 9
Correct answer: B) 7
Order the data and identify the middle position. The median is 7.
SAT trap: Sort the data before finding the median.
What is the median of 4, 8, 10, 14?
Which choice is correct?
A) 8
B) 9
C) 10
D) 11
Correct answer: B) 9
Order the data and identify the middle position. The median is 9.
SAT trap: Sort the data before finding the median.
What is the median of 12, 5, 9, 3, 8?
Which choice is correct?
A) 7
B) 8
C) 9
D) 10
Correct answer: B) 8
Order the data and identify the middle position. The median is 8.
SAT trap: Sort the data before finding the median.
What is the median of 2, 4, 4, 6, 8, 10?
Which choice is correct?
A) 4
B) 5
C) 6
D) 7
Correct answer: B) 5
Order the data and identify the middle position. The median is 5.
SAT trap: Sort the data before finding the median.
What is the median of 1, 2, 3, 4, 5?
Which choice is correct?
A) 2
B) 3
C) 4
D) 5
Correct answer: B) 3
Order the data and identify the middle position. The median is 3.
SAT trap: Sort the data before finding the median.
What is the median of 6, 8, 10, 12, 14, 16?
Which choice is correct?
A) 10
B) 11
C) 12
D) 13
Correct answer: B) 11
Order the data and identify the middle position. The median is 11.
SAT trap: Sort the data before finding the median.
What is the mode of 2, 3, 3, 5, 7?
Which choice is correct?
A) 3
B) There is no mode
C) 2
D) 7
Correct answer: A) 3
The value(s) with the greatest frequency are 3.
SAT trap: The mode is based on frequency, not size.
What is the mode of 4, 4, 6, 6, 8, 9?
Which choice is correct?
A) 4 and 6
B) There is no mode
C) 4
D) 9
Correct answer: A) 4 and 6
The value(s) with the greatest frequency are 4 and 6.
SAT trap: The mode is based on frequency, not size.
What is the mode of 5, 5, 5, 7, 8?
Which choice is correct?
A) 5
B) There is no mode
C) 5
D) 8
Correct answer: A) 5
The value(s) with the greatest frequency are 5.
SAT trap: The mode is based on frequency, not size.
What is the mode of 1, 2, 2, 3, 3, 4?
Which choice is correct?
A) 2 and 3
B) There is no mode
C) 1
D) 4
Correct answer: A) 2 and 3
The value(s) with the greatest frequency are 2 and 3.
SAT trap: The mode is based on frequency, not size.
What is the range of 6, 10, 13, 18, 21?
Which choice is correct?
A) 14
B) 15
C) 16
D) 17
Correct answer: B) 15
Range = 21 – 6 = 15.
SAT trap: Range equals maximum minus minimum.
What is the range of 2.5, 3.1, 4.8, 5?
Which choice is correct?
A) 1.5
B) 2
C) 2.5
D) 3
Correct answer: C) 2.5
Range = 5 – 2.5 = 2.5.
SAT trap: Range equals maximum minus minimum.
What is the range of 7, 10, 12, 16?
Which choice is correct?
A) 8
B) 9
C) 10
D) 11
Correct answer: B) 9
Range = 16 – 7 = 9.
SAT trap: Range equals maximum minus minimum.
What is the range of 4, 9, 15, 19?
Which choice is correct?
A) 14
B) 15
C) 16
D) 17
Correct answer: B) 15
Range = 19 – 4 = 15.
SAT trap: Range equals maximum minus minimum.
A data set has median 12. If every value is increased by 5, what is the new median?
Which choice is correct?
A) 16
B) 17
C) 18
D) 19
Correct answer: B) 17
Adding 5 to every value increases the median by 5, so the new median is 17.
SAT trap: A uniform shift changes measures of center by the same amount.
Frequency tables show how often each value occurs and are used for weighted means, medians, modes, and ranges.
A frequency table shows value 1 occurs 2 times, value 2 occurs 4 times, value 3 occurs 4 times. How many observations are represented?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
Add the frequencies: 2 + 4 + 4 = 10.
SAT trap: Total observations equal total frequency.
For the same distribution, what is the mean?
Which choice is correct?
A) 1.2
B) 1.7
C) 2.2
D) 2.7
Correct answer: C) 2.2
The weighted total is 22. Divide by 10 to get 2.2.
SAT trap: Multiply each value by its frequency.
For the same distribution, what is the median?
Which choice is correct?
A) 1
B) 2
C) 3
D) 4
Correct answer: B) 2
Expand or use cumulative frequency. The median is 2.
SAT trap: Use cumulative frequency to locate the middle position.
A frequency table shows value 5 occurs 3 times, value 10 occurs 4 times, value 15 occurs 3 times. How many observations are represented?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
Add the frequencies: 3 + 4 + 3 = 10.
SAT trap: Total observations equal total frequency.
For the same distribution, what is the mean?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
The weighted total is 100. Divide by 10 to get 10.
SAT trap: Multiply each value by its frequency.
For the same distribution, what is the median?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
Expand or use cumulative frequency. The median is 10.
SAT trap: Use cumulative frequency to locate the middle position.
A frequency table shows value 0 occurs 4 times, value 1 occurs 6 times, value 2 occurs 5 times. How many observations are represented?
Which choice is correct?
A) 14
B) 15
C) 16
D) 17
Correct answer: B) 15
Add the frequencies: 4 + 6 + 5 = 15.
SAT trap: Total observations equal total frequency.
For the same distribution, what is the mean?
Which choice is correct?
A) 0.07
B) 0.57
C) 1.07
D) 1.57
Correct answer: C) 1.07
The weighted total is 16. Divide by 15 to get 1.07.
SAT trap: Multiply each value by its frequency.
For the same distribution, what is the median?
Which choice is correct?
A) 0
B) 1
C) 2
D) 3
Correct answer: B) 1
Expand or use cumulative frequency. The median is 1.
SAT trap: Use cumulative frequency to locate the middle position.
A frequency table shows value 2 occurs 3 times, value 4 occurs 5 times, value 6 occurs 2 times. How many observations are represented?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
Add the frequencies: 3 + 5 + 2 = 10.
SAT trap: Total observations equal total frequency.
For the same distribution, what is the mean?
Which choice is correct?
A) 2.8
B) 3.3
C) 3.8
D) 4.3
Correct answer: C) 3.8
The weighted total is 38. Divide by 10 to get 3.8.
SAT trap: Multiply each value by its frequency.
For the same distribution, what is the median?
Which choice is correct?
A) 3
B) 4
C) 5
D) 6
Correct answer: B) 4
Expand or use cumulative frequency. The median is 4.
SAT trap: Use cumulative frequency to locate the middle position.
A frequency table shows value 1 occurs 2 times, value 3 occurs 3 times, value 5 occurs 3 times, value 7 occurs 2 times. How many observations are represented?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
Add the frequencies: 2 + 3 + 3 + 2 = 10.
SAT trap: Total observations equal total frequency.
For the same distribution, what is the mean?
Which choice is correct?
A) 3
B) 4
C) 5
D) 6
Correct answer: B) 4
The weighted total is 40. Divide by 10 to get 4.
SAT trap: Multiply each value by its frequency.
For the same distribution, what is the median?
Which choice is correct?
A) 3
B) 4
C) 5
D) 6
Correct answer: B) 4
Expand or use cumulative frequency. The median is 4.
SAT trap: Use cumulative frequency to locate the middle position.
Practice More SAT Problem-Solving and Data Analysis
Build accuracy with mean, median, mode, range, frequency tables, and weighted averages.
These questions test which statistics are resistant to outliers and how uniform changes affect center and spread.
Which measure is most affected by an extreme outlier?
Which choice is correct?
A) Mean
B) Median
C) Mode
D) None
Correct answer: A) Mean
The mean uses every value directly, so an extreme value can pull it strongly.
SAT trap: The median is usually more resistant.
Which measure is usually most resistant to an extreme outlier?
Which choice is correct?
A) Mean
B) Median
C) Range
D) Total
Correct answer: B) Median
The median depends mainly on position.
SAT trap: The range is highly sensitive to extremes.
A data set has mean 20. If 50 is added as a new value, what happens to the mean?
Which choice is correct?
A) It decreases
B) It remains 20
C) It increases
D) It becomes 50
Correct answer: C) It increases
Because 50 is greater than the old mean, the new mean increases.
SAT trap: The exact mean depends on the original count.
If every value is increased by 4, what happens to the mean?
Which choice is correct?
A) It decreases by 4
B) It stays the same
C) It increases by 4
D) It is multiplied by 4
Correct answer: C) It increases by 4
A uniform addition shifts the mean by the same amount.
SAT trap: Addition changes center but not spread.
If every value is increased by 4, what happens to the range?
Which choice is correct?
A) It increases by 4
B) It decreases by 4
C) It stays the same
D) It doubles
Correct answer: C) It stays the same
Both maximum and minimum increase by 4, so their difference is unchanged.
SAT trap: Uniform shifts do not change range.
If every value is multiplied by 3, what happens to the range?
Which choice is correct?
A) It stays the same
B) It triples
C) It increases by 3
D) It is divided by 3
Correct answer: B) It triples
Multiplying all values by 3 multiplies the range by 3.
SAT trap: Scaling changes spread.
If every value is multiplied by 3, what happens to the median?
Which choice is correct?
A) It stays the same
B) It increases by 3
C) It triples
D) It becomes zero
Correct answer: C) It triples
A uniform multiplication scales the median.
SAT trap: Scaling changes measures of center proportionally.
A data set has mean 10. Under y = 2x + 5, what is the new mean?
Which choice is correct?
A) 24
B) 25
C) 26
D) 27
Correct answer: B) 25
The new mean is 2(10) + 5 = 25.
SAT trap: Apply the transformation to the mean.
A data set has range 8. Under y = 2x + 5, what is the new range?
Which choice is correct?
A) 15
B) 16
C) 17
D) 18
Correct answer: B) 16
Multiplying by 2 doubles the range; adding 5 does not affect it.
SAT trap: Only the multiplication factor changes spread.
A very large value is added to a data set. Which statistic is guaranteed not to decrease?
Which choice is correct?
A) Mean
B) Range
C) Mode
D) Median
Correct answer: B) Range
Adding a new maximum can keep or increase the range, but cannot decrease it.
SAT trap: Think about maximum minus minimum.
Hard questions combine missing values, weighted groups, consecutive integers, and comparisons between measures.
The mean of 7 numbers is 18. Six of the numbers total 101. What is the seventh number?
Which choice is correct?
A) 24
B) 25
C) 26
D) 27
Correct answer: B) 25
The total is 126. Subtract 101 to get 25.
SAT trap: Use totals, counts, and ordering carefully.
A data set of 5 numbers has mean 12. Four numbers are 6, 8, 10, and 15. What is the fifth number?
Which choice is correct?
A) 20
B) 21
C) 22
D) 23
Correct answer: B) 21
The required total is 60. The known values total 39, so the fifth is 21.
SAT trap: Use totals, counts, and ordering carefully.
A class has 12 students with mean 75. If score 99 is removed, what is the new mean?
Which choice is correct?
A) 67.82
B) 70.32
C) 72.82
D) 75.32
Correct answer: C) 72.82
The original total is 900. Remove 99 to get 801, then divide by 11 to get about 72.82.
SAT trap: Use totals, counts, and ordering carefully.
A data set has 6 values with mean 14. After values 8 and 10 are removed, what is the mean of the remaining 4 values?
Which choice is correct?
A) 15.5
B) 16
C) 16.5
D) 17
Correct answer: C) 16.5
The original total is 84. Remove 18 to get 66, then divide by 4.
SAT trap: Use totals, counts, and ordering carefully.
Group A has 40 values with mean 60. Group B has 60 values with mean 75. What is the combined mean?
Which choice is correct?
A) 64
B) 69
C) 74
D) 79
Correct answer: B) 69
The combined total is 6,900. Divide by 100 to get 69.
SAT trap: Use totals, counts, and ordering carefully.
A data set has mean 20. Replacing 12 with 32 increases the mean by 2. How many values are in the set?
Which choice is correct?
A) 9
B) 10
C) 11
D) 12
Correct answer: B) 10
The total increases by 20. Since 20/n = 2, n = 10.
SAT trap: Use totals, counts, and ordering carefully.
The mean of 4 consecutive integers is 11.5. What is the greatest integer?
Which choice is correct?
A) 12
B) 13
C) 14
D) 15
Correct answer: B) 13
The integers are 10, 11, 12, and 13.
SAT trap: Use totals, counts, and ordering carefully.
Five consecutive odd integers have mean 17. What is their range?
Which choice is correct?
A) 7
B) 8
C) 9
D) 10
Correct answer: B) 8
The integers are 13, 15, 17, 19, and 21; range = 8.
SAT trap: Use totals, counts, and ordering carefully.
A data set has mean 18 and median 15. Which measure was more likely pulled upward by a high outlier?
Which choice is correct?
A) Mean
B) Median
C) Mode
D) Neither
Correct answer: A) Mean
A high outlier can pull the mean above the median.
SAT trap: Verify every condition in the question.
A set has mode 6 and median 6. Which set could represent it?
Which choice is correct?
A) 4, 5, 6, 7, 8
B) 4, 6, 6, 7, 9
C) 5, 6, 7, 8, 9
D) 6, 7, 8, 9, 10
Correct answer: B) 4, 6, 6, 7, 9
In choice B, 6 occurs most often and is the middle value.
SAT trap: Verify every condition in the question.
Enter a numerical answer after calculating a mean, median, range, missing value, or weighted average.
What is the mean of 8, 10, 12, and 14?
Enter your answer.
Correct answer: 11
The total is 44. Divide by 4 to get 11.
SAT trap: Enter only the requested numerical value.
What is the median of 3, 5, 7, 9, 11, and 13?
Enter your answer.
Correct answer: 8
The middle values are 7 and 9; their average is 8.
SAT trap: Enter only the requested numerical value.
What is the range of 4, 9, 12, and 17?
Enter your answer.
Correct answer: 13
Range = 17 – 4 = 13.
SAT trap: Enter only the requested numerical value.
The mean of 5 values is 16. Four values total 61. What is the fifth value?
Enter your answer.
Correct answer: 19
The required total is 80. Subtract 61 to get 19.
SAT trap: Enter only the requested numerical value.
A frequency table shows value 2 occurs 3 times and value 5 occurs 2 times. What is the mean?
Enter your answer.
Correct answer: 3.2
The weighted total is 16. Divide by 5 to get 3.2.
SAT trap: Enter only the requested numerical value.
Most errors come from using the wrong count, failing to sort data, or ignoring frequency and group size.
| Mistake | Why It Happens | Correction |
|---|---|---|
| Dividing by the wrong count | A value is added or removed | Recount the data after every change |
| Finding median before sorting | The original order looks usable | Always order values first |
| Ignoring frequency | Values are counted only once | Multiply value by frequency |
| Averaging group means directly | Group sizes differ | Use a weighted mean |
| Treating outliers equally | Mean and median are confused | Remember mean and range are more sensitive |
Use the schedule below to move from basic calculations to mixed statistics questions.
| Days | Focus | Practice Goal |
|---|---|---|
| Days 1-2 | Mean basics | Complete Q1-Q8 |
| Days 3-4 | Missing values and combined means | Complete Q9-Q15 |
| Days 5-6 | Median, mode, and range | Complete Q16-Q30 |
| Days 7-9 | Frequency tables | Complete Q31-Q45 |
| Days 10-11 | Outliers and transformations | Complete Q46-Q55 |
| Days 12-13 | Hard mixed and SPR | Complete Q56-Q70 |
| Day 14 | Mixed review | Redo missed questions without solutions |
He is a Digital SAT mentor with 10+ years of experience, working primarily with SAT students all Over worldwide. Their students have consistently progressed toward 1520+ scores by improving timing, accuracy, and trap-answer control through official-style practice, detailed mistake analysis, and clear weekly action plans.
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