Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #34 : Statistics And Probability

This semester, Ned earned scores of 78, 84, 90, and 92 on his algebra exams. What is Ned's average score?

Possible Answers:

Correct answer:

Explanation:

To find Ned's average score, you must take the sum of his test scores and divide it by the number of tests. The sum of Ned's scores is 344 and he took 4 tests. Therefore, his average test score must be 86 

Example Question #35 : Statistics And Probability

Find the mean of the following set: 

Possible Answers:

Correct answer:

Explanation:

To find the mean (average) of a set, add up all the numbers, which is 217. Then, divide by the number of terms you have (7). This results in 31. 

Example Question #12 : Mean

Consider the following numbers:

42, 51, 62, 47, 38, 50, 54, 44

The value 48.5 represents:

Possible Answers:

Neither the median nor the mean

The median

Both the mean and the median

The mean

Correct answer:

Both the mean and the median

Explanation:

First, calculate the mean. Sum the values and divide by the total number of values:

Next, determine the median. Reorder the values in ascending order:

38, 42, 44, 47, 50, 51, 54, 62

The median is the middle number. In this case, there is no "middle" number because we have an even number of values. Therefore, both 47 and 50 are the "middle". Average these numbers:

Therefore, 48.5 represents both the mean and median.

Example Question #13 : Mean

Find the mean of the following numbers:

150, 88, 141, 110, 79

Possible Answers:

71

141

113.6

 

88

110

Correct answer:

113.6

 

Explanation:

The mean is the average. The mean can be found by taking the sum of all the numbers (150 + 88 + 141 + 110 + 79 = 568) and then dividing the sum by how many numbers there are (5).

Our answer is 113 3/5, which can be written as a decimal.

Therefore 113 3/5 is equivalent to 113.6, which is our answer.

Example Question #131 : Basic Statistics

If you roll a fair die six million times, what is the average expected number that you roll?

Possible Answers:

3

4.5

3.5

2.5

4

Correct answer:

3.5

Explanation:

The outcomes from rolling a die are {1,2,3,4,5,6}.

The mean is (1+2+3+4+5+6)/6 = 3.5.

Rolling the die six million times simply suggests that each number will appear approximately one million times. Since each number is rolled with equal probability, it doesn't matter how many times you perform the experiment; the answer will always remain the same.

 

 

Example Question #11 : Mean

Reginald has scores of {87, 79, 95, 91} on the first four exams in his Spanish class. What is the minimum score he must get on the fifth exam to get an A (90 or higher) for his final grade?

Possible Answers:

71

95

90

98

82

Correct answer:

98

Explanation:

To find the fifth score, we need to set the average of all of the scores equal to 90.

Multiply both sides of the equation by 5.

Subtract 352 from both sides of equation.

Example Question #12 : Mean

The mean of the following set is 8. What is ?

 

Possible Answers:

2

9

1

Cannot be determined

8

Correct answer:

1

Explanation:

Let .

We know the mean is 8, and there are five values in the set, including the unknown .

Simplify.

Plug back into equation at top.

Example Question #1461 : Algebra 1

Given the set of numbers, find the mean.  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of the set of numbers.   Add all the numbers in the set and divide by the total numbers in the set.

There are 6 numbers in the set.

Example Question #1462 : Algebra 1

What is the mean?

Possible Answers:

Correct answer:

Explanation:

To find mean, we add the sum of the numbers and divide it by the total numbers in the set.

The sum is 

 or .

There are five numbers.

So  divided by  is 

Example Question #44 : Statistics And Probability

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find mean, we add the total numbers up which is just .

There are five numbers.

So  divided by  is 

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