Average Problems
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SSAT Middle Level: Quantitative › Average Problems
A student tracks allowance for four weeks: $10, $15, $12, and $13. The student adds them as $10+$15+$12+$13 to get the total. Next, the student divides by 4 because there are four weeks. The result is the average allowance each week. Find the average allowance received.
The average allowance is $12.5
The average allowance is $12.4
The average allowance is $10
The average allowance is $15
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers $10, $15, $12, and $13 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 50 divided by 4 which equals 12.5. Choice B is incorrect because it involves a common error of rounding down incorrectly. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
A teacher lists five quiz scores for a small group: 78, 85, 92, 88, and 81. The teacher finds the sum of all five scores. Next, the teacher divides the sum by 5 to get the mean. The students want the single number that represents their average. What is the average of the given numbers?
The average is 88
The average is 85
The average is 85.6
The average is 84.8
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 78, 85, 92, 88, and 81 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 424 divided by 5 which equals 84.8. Choice C is incorrect because it involves a common error of rounding to the nearest whole number. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
Mr. Gomez records five test scores: 78, 85, 92, 88, and 81. He writes an equation $78+85+92+88+81$ to find the total. He divides the total by 5 because five students took the test. The class uses this result as the average score. Calculate the average of the recorded values.
The average score is 70.7
The average score is 86
The average score is 92
The average score is 84.8
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 78, 85, 92, 88, and 81 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 424 divided by 5 which equals 84.8. Choice D is incorrect because it involves a common error of miscalculating the sum and then dividing incorrectly. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
Ms. Lee records five test scores: 78, 85, 92, 88, and 81. She adds them to find the total points earned. Then she divides by 5 because there are five students. The class wants to know the average score for this test. Based on the information provided, calculate the average score.
The average score is 88
The average score is 70.7
The average score is 84.8
The average score is 85
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 78, 85, 92, 88, and 81 and need to calculate their average. The correct answer is choice B because it accurately reflects the sum of 424 divided by 5 which equals 84.8. Choice A is incorrect because it involves a common error of rounding up to the nearest whole number instead of keeping the decimal. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
Mia records her allowance for four weeks as $10, $15, $12, and $13. She adds the amounts to get a total of $50. She divides $50 by 4 to find the mean for one week. This mean is her average weekly allowance. Calculate the average of the recorded values.
The average allowance is $12.5
The average allowance is $25
The average allowance is $12
The average allowance is $10
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers $10, $15, $12, and $13 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 50 divided by 4 which equals 12.5. Choice B is incorrect because it involves a common error of dividing the sum by 2 instead of 4. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
A student receives allowance for four weeks: $10, $15, $12, and $13. The student finds the sum of these four amounts. Then the student divides by 4 to get one typical weekly amount. That number is the average weekly allowance. Find the average allowance received.
The average allowance is $15
The average allowance is $12.5
The average allowance is $13.3
The average allowance is $12
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers $10, $15, $12, and $13 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 50 divided by 4 which equals 12.5. Choice C is incorrect because it involves a common error of miscalculating the sum or rounding incorrectly. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
A coach tracks five practice scores: 78, 85, 92, 88, and 81. The coach adds all five scores to find the total points. Then the coach divides by 5 because there are five scores. The team uses this number as the average performance score. What is the average of the given numbers?
The average is 84.8
The average is 85
The average is 88
The average is 86
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 78, 85, 92, 88, and 81 and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 424 divided by 5 which equals 84.8. Choice B is incorrect because it involves a common error of misadding the numbers or dividing by the wrong count. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
A family drives during four parts of a trip at speeds of 60 mph, 55 mph, 70 mph, and 65 mph. They add the four speeds to find the total of the recorded values. Then they divide by 4 because there are four parts listed. This gives the average of the speeds they recorded. What is the average speed over the entire trip?
The average speed is 60 mph
The average speed is 250 mph
The average speed is 62.5 mph
The average speed is 65 mph
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 60 mph, 55 mph, 70 mph, and 65 mph and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 250 divided by 4 which equals 62.5. Choice C is incorrect because it involves a common error of using the sum instead of dividing by the count. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
During a road trip, the car’s speeds are 60 mph, 55 mph, 70 mph, and 65 mph. A student adds these four numbers to get a total. Next, the student divides by 4 because four speeds are recorded. The result is the mean speed for the listed parts. What is the average speed over the entire trip?
The average speed is 55 mph
The average speed is 70 mph
The average speed is 62.5 mph
The average speed is 63 mph
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 60 mph, 55 mph, 70 mph, and 65 mph and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 250 divided by 4 which equals 62.5. Choice B is incorrect because it involves a common error of rounding to the nearest whole number. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.
A student lists four travel speeds: 60 mph, 55 mph, 70 mph, and 65 mph. The student adds them to get a total of 250 mph. Then the student divides by 4 to find the mean of the listed speeds. This mean is the average speed for those parts. What is the average speed over the entire trip?
The average speed is 62 mph
The average speed is 62.5 mph
The average speed is 55 mph
The average speed is 65 mph
Explanation
This question tests middle school math skills in solving average problems using sums and counts. To find the average, add all the numbers together and divide the sum by the number of items. In this problem, you are given the numbers 60 mph, 55 mph, 70 mph, and 65 mph and need to calculate their average. The correct answer is choice A because it accurately reflects the sum of 250 divided by 4 which equals 62.5. Choice B is incorrect because it involves a common error of rounding down to the nearest whole number. To help students master this skill, encourage them to carefully count the number of items, double-check their sums, and ensure they divide by the correct count. Practice with varied scenarios to build confidence in identifying and calculating averages.