Math Probability & Statistics – Averages
Math Probability & Statistics – Averages
Instructions
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multi-digit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You will see several answer choices, but only one will be correct. Select the correct answer choice.
Tips
- These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
- Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
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- 1 of 10Question1
Robert scored a mean of \(17\) points per game in his first \(5\) basketball games. In his \(6^{th}\) game, he scored \(23\) points. What is his mean score for his first \(6\) games?
CorrectIncorrect - 2 of 10Question2
What is the mean score of the \(30\) students in the table?
CorrectIncorrect - 3 of 10Question3
Suki surveys her \(20\) classmates to find out how many pets they have. The results of her survey are shown in the table. What is the mean number of pets per student?
CorrectIncorrect - 4 of 10Question4
The mean value of \(9\) numbers is \(13\). Three of these numbers (\(12, 17\), and \(22\)) are discarded. What is the mean of the remaining \(6\) numbers?
CorrectIncorrect - 5 of 10Question5
Emily played \(4\) games and had a mean score of \(130\). Molly played \(6\) games, and had a mean score of \(90\). What was the mean of the scores for all \(10\) of these games?
CorrectIncorrect - 6 of 10Question6
Over the course of his history class, Jose will take a total of \(4\) tests. Test scores can range from \(0\) to \(100\). He has already taken \(2\) of the tests, and earned scores of \(82\) and \(92\). What is the LEAST possible score Jose can earn on the third test, and still get an average score of \(90\) on all \(4\) tests?
CorrectIncorrect - 7 of 10Question7
Nicholas scored a mean score of \(20\) points per game in his first \(3\) basketball games. In his fourth game, he scored \(30\) points. What is his mean score for the first \(4\) games?
CorrectIncorrect - 8 of 10Question8
Jackson will take a total of \(4\) tests in his English class. He has already taken \(3\) of tests, and currently has a mean of \(87\). How many points must Jackson receive on his fourth test to achieve a mean of \(90\) for all \(4\) tests?
CorrectIncorrect - 9 of 10Question9
If the mean of \(5\), \(x\), and \(y\) is \(15\), what is the value of \(x+y\)?
CorrectIncorrect - 10 of 10Question10
A scientist records the number of muskrats she observes at a field site over several days and records the data in the frequency table shown. What is the mean number of muskrats spotted over all the days recorded?
CorrectIncorrect
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