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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 4

Question 12345 of 5

Question 1 of 5

A school nurse recorded the number of students who visited the health office each day for 5 days: 8, 10, 7, 9, and 11. What was the mean number of students who visited the health office per day over those 5 days?

Explanation

To find the mean, add the 5 daily values and divide by 5. The sum is . Then compute . So the mean number of students per day is .

Concept summary

The mean of a data set is found by adding all values and dividing by the number of values.

Question 2 of 5

A scientist records the temperatures, in degrees Celsius, of 5 samples. Four of the temperatures are shown in the table.

Sample 1: 18
Sample 2: 21
Sample 3: 19
Sample 4: 22
Sample 5:

If the mean temperature of the 5 samples is 20, what is the value of ?

Explanation

The mean of 5 values is 20, so the total of the 5 temperatures must be . The four known temperatures add to . Therefore, the missing temperature is . So, .

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 3 of 5

A data set has a mean of for values. Which expression represents the total of the values?

Explanation

The mean of a data set is found by dividing the total by the number of values:

Here, the mean is and there are values, so

Multiply both sides by :

So the expression that represents the total is .

Concept summary

Mean equals total divided by number of values. Rearranging gives total equals mean times number of values.

Question 4 of 5

A dot plot shows the number of text messages sent in one day by 5 students. The data values are , , , , and . What is the range of this data set?

Explanation

The range of a data set is the greatest value minus the least value. In this data set, the least value is and the greatest value is . So the range is . Therefore, the correct answer is .

Concept summary

To find the range, subtract the smallest value in the data set from the largest value.

Question 5 of 5

A community center recorded the numbers of visitors on 5 different days. The mean number of visitors was 42, the median was 40, and the 5 numbers were all different integers. Four of the numbers were 35, 40, 47, and 50. What was the remaining number of visitors?

Explanation

Since the mean of 5 numbers is 42, their total must be . The four known numbers add to , so the remaining number is . Check that the median is still 40: the five numbers are , so the middle value is 40. Also, all 5 numbers are different integers. Therefore, the remaining number of visitors was .

Concept summary

For a data set, the mean determines the total sum, while the median depends on the ordered middle value. In constraint-based problems, use both conditions together to find the value that satisfies all requirements.

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