1.
One bear at the zoo weighs 524 lbs. The others weigh 756 and 982. What is their average weight?
Correct Answer
A. 754 lbs
Explanation
The average weight of the bears at the zoo can be calculated by adding their weights and then dividing by the number of bears.
Average weight = (524 + 756 + 982) / 3 = 2262 / 3 = 754 lbs
So, the average weight of the bears is 754 lbs.
2.
The average of five test scores is 85. If four of the scores are 90, 88, 92, and 80, what is the fifth score?
Correct Answer
A. 75
Explanation
Find the sum of the known scores (90 + 88 + 92 + 80 = 350) and subtract from the product of the average and the count of scores (85 * 5 = 425). The fifth score is 425 - 350 = 75.
3.
The average of a set of 8 numbers is 25. If one of the numbers is 50, what is the average of the remaining 7 numbers?
Correct Answer
B. 21
Explanation
Find the total sum of the set of numbers (25 * 8 = 200) and subtract the value of the known number (50). The sum of the remaining 7 numbers is 200 - 50 = 150. Divide this sum by 7 to find the average, which is 150 / 7 ≈ 21.43.
4.
The average score of a basketball team for the first five games is 90 points. If the team scores 110 points in the sixth game, what is the new average score?
Correct Answer
C. 93
Explanation
Calculate the total points of the first five games (90 * 5 = 450) and add the points of the sixth game (110). The total points for all six games are 450 + 110 = 560. Divide this total by the number of games (6) to find the new average, which is 560 / 6 = 93.33, approximately 93.
5.
Three new cars cost $10,100; $7,800 and $12,400. What is the average cost for these cars?
Correct Answer
A. $10,100
Explanation
To find the average cost of the three cars, we add up their costs and then divide by the number of cars.
Average cost = (10,100 + 7,800 + 12,400) / 3 = 10,100
So, the average cost for these three cars is $10,100.
6.
Paul's school has 687 students, Nicole's has 841, and Kurts has 497. What is the average number of students at these schools?
Correct Answer
D. 675
Explanation
To find the average number of students at these schools, we add up the number of students at each school and then divide by the number of schools.
Average number of students = (687 + 841 + 497) / 3 = 675
So, the average number of students at these schools is 675.
7.
One street in our neighborhood has 43 houses, one has 26, one has 18 and one has 37. What is the average number of houses per street?
Correct Answer
C. 31
Explanation
To find the average number of houses per street, we add up the number of houses on each street and then divide by the number of streets.
Average number of houses per street = (43 + 26 + 18 + 37) / 4 = 31
So, the average number of houses per street is 31.
8.
Lynn has 365 stickers in her collection. Bridget has 343 and Karen has 219 and Liz has 37. What is the average number of stickers?
Correct Answer
A. 241
Explanation
To find the average number of stickers in their collections, we add up the number of stickers each person has and then divide by the number of people.
Average number of stickers = (365 + 343 + 219 + 37) / 4 = 964 / 4 = 241
So, the average number of stickers is 241.
9.
Four libraries each have this many books: 10,890; 14,594; 9,786; 12,754
What is the average number of books for the libraries?
Correct Answer
B. 12,006
Explanation
To find the average number of books for the libraries, we add up the number of books in each library and then divide by the number of libraries.
Average number of books = (10,890 + 14,594 + 9,786 + 12,754) / 4 = 12,006
So, the average number of books for the libraries is 12,006.
10.
Doug found five different candy bars with these prices: 45,65,90,85 and 75 cents. What was the average price.
Correct Answer
C. $0.72
Explanation
To find the average price of the candy bars, we add up the prices of each candy bar and then divide by the number of candy bars.
Average price = (45 + 65 + 90 + 85 + 75) / 5 = 72
So, the average price of the candy bars is 72 cents or $0.72.