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Problem Solving And Data Analysis · Statistics Mean Median Mode Range Standard Deviation

SAT Statistics Mean Median Mode Range Standard Deviation Practice Questions (Free + Explanations) | Quiz 1

Question 12345 of 5

Question 1 of 5

A small bookstore recorded the number of books sold on each of 5 days: 12, 15, 9, 15, and 19. What was the median number of books sold per day?

Explanation

To find the median, first write the numbers in order from least to greatest: 9, 12, 15, 15, 19. Since there are 5 values, the median is the middle value, which is the third number in the ordered list. The third number is 15, so the median number of books sold per day is 15.

Concept summary

The median is the middle value in a data set after the values are arranged in order. For an odd number of values, it is the single middle number.

Question 2 of 5

A data set has 5 numbers with a mean of 12. Four of the numbers are , , , and . What is the range of the data set?

Explanation

If the mean of 5 numbers is 12, then the sum of the 5 numbers is . The four known numbers add to . So the fifth number is . The data set is . The range is greatest minus least, so . Therefore, the correct answer is .

Concept summary

Use the mean to find the total sum, then find any missing value and compute the range as maximum minus minimum.

Question 3 of 5

A data set contains the numbers , , , , and . If the mean of the data set is , which expression is equivalent to the value of ?

Explanation

For 5 numbers with mean , the total sum must be . The known four numbers have sum . Therefore, the missing value is . The expression that represents this is .

Concept summary

To find a missing value when the mean is known, multiply the mean by the number of data points to get the total sum, then subtract the sum of the known values.

Question 4 of 5

The scatterplot shows the number of hours 5 students studied for a quiz and their quiz scores:

What is the median of the quiz scores shown in the scatterplot?

Explanation

The quiz scores are the -values of the plotted points: . These are already in order. Since there are 5 scores, the median is the middle value, which is the 3rd score. The 3rd score is , so the correct answer is .

Concept summary

To find the median, list the data values in order and identify the middle one. For an odd number of data points, the median is the single center value.

Question 5 of 5

A data set consists of 4 numbers. Three of the numbers are 6, 8, and 10. If the mean of the 4 numbers is 9, what is the range of the data set?

Explanation

If the mean of 4 numbers is 9, then their total sum is . The three known numbers add to , so the fourth number must be . The data set is . The range is greatest value minus least value: . Therefore, the correct answer is 6.

Concept summary

To use the mean to find a missing value, multiply the mean by the number of data points to get the total sum. Then find the range by subtracting the least value from the greatest value.

Your results

0of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

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Your results

1of 5 correct

Estimated SAT Math band

500-550

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

2of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

3of 5 correct

Estimated SAT Math band

600-650

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

4of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice

Your results

5of 5 correct

Estimated SAT Math band

700+

Illustrative range from this short quiz—not an official College Board score.

Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.

More SAT Math practice