Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #3 : Statistics And Probability

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : Statistics And Probability

Possible Answers:

Correct answer:

Explanation:

 

Example Question #1 : Statistics And Probability

The sum of the elements of a data set is ; the mean of the elements is . How many elements are there in the set?

Possible Answers:

It is impossible to tell from the imformation given.

Correct answer:

Explanation:

The mean, , of a data set is the sum of the elements, , divided by the number of elements, .

We know that and . Now we can solve for .

Example Question #1 : How To Find Mean

Two standard dice are rollled. What is the probability that the sum of both dice is greater than ?

Possible Answers:

Correct answer:

Explanation:

There are  total possible outcomes ( sides on one die times  sides on the other). The following are the possible outcomes that are greater than .

 and

 and

5 and

 and

 and

 and

There are possible outcomes greater than , out of  possible outcomes total; thus, there is a chance of rolling greater than .

Example Question #8 : Statistics And Probability

Is the following method for collecting data biased? If so, why?

 

A company would like to assess the approval of their new product. To determine if customers were happy with their product, they placed a link on their website to all consumers to opt-in to provide their opinion.

Possible Answers:

Yes; this is an example of exclusion bias.

No; the collection method is not biased.

Yes; this is an example of selection bias.

Yes; this is an example of analytical bias.

Correct answer:

Yes; this is an example of selection bias.

Explanation:

Because this is an "opt-in" study, certain individuals are more likely to participate than others resulting in a selection bias.

Example Question #11 : How To Find Mean

Hours_chart

The above chart shows a specific week of work at an advertising firm.  What is the mean hourly rate of the female staff members?

Possible Answers:

Correct answer:

Explanation:

 

Example Question #12 : How To Find Mean

The average score on a math exam for 5 students is 90. If the sixth student earned a score of 84, what is the average score for all 6 students?

Possible Answers:

None of the other answers

Correct answer:

Explanation:

The average of the first 5 students' scores is 90, which means that the total score for these 5 students is 450. To find the total score of all 6 students, you simply add the sixth student's score of 84 to the first 5 students' total score of 450, which gives you a total score of 534 for all 6 students. To determine the average score, you must divide the total score of 534 by 6, which gives you an average score of 89.

Example Question #11 : Statistics And Probability

Abe, George, and Tom took an algebra test last week and scored an average of 90. If Abe earned a score of 92 and George earned a score of 94, what was Tom's score on the test?

Possible Answers:

Correct answer:

Explanation:

Since they had an average score of 90, we know that their total score must have been 270 (90 multiplied by 3). We know that 2 of the scores are 94 and 92, so the third score must be , which is 84.

Example Question #2 : Basic Statistics

The mean of the set  is 20. What is the mean of the set ?

Possible Answers:

Correct answer:

Explanation:

To find mean, we add up the values in a set and divide by the number of terms in that set. We begin this problem with the knowledge that the mean of the first set is 20. Since that set contains five numbers, we know that its total sum must be 100 (since 100 divided by 5 is 20).

 

so  must be 25.

Now, the only step left is to find the mean of .

These values add up to 125, and when we divide by 5, we are left with a final answer of 25.

Example Question #11 : How To Find Mean

If , what is the mean of the set ?

Possible Answers:

Correct answer:

Explanation:

If we substitute 3 in for , we find that our original set is equal to . To find the mean, add the values and divide by the number of terms in the set (in this case, 5). Here, the sum of the values is 35. Dividing by 5 yields a final answer of 7 for our mean.

Learning Tools by Varsity Tutors