Understanding Averages

This video tutorial introduces the concept of averages, explaining how they represent a set of numbers with a single value. It provides examples of calculating averages, including practical applications in exam scores. The tutorial also covers more complex problems, such as determining the required score to achieve a desired average and maximizing averages with limited exams. The video concludes with a review of the key concepts and encourages further exploration of averages.

What is an average in mathematical terms?

• A number that represents the sum of all values.

• A number that represents the different values as one number.

• A number that represents the most frequent value.

• A number that represents the central value of a set.

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CCSS.6.SP.B.5C

How do you calculate the average of the numbers 1, 3, 5, and 20?

• Add the numbers and divide by 3.

• Multiply the numbers and divide by 4.

• Add the numbers and divide by 4.

• Subtract the smallest number from the largest.

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CCSS.7.EE.B.3

If you have scores of 80, 81, 87, and 88, what is the average score?

• 87

• 86

• 85

• 84

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CCSS.7.NS.A.3

What score is needed on the next test to achieve an average of 88 if the current average is 84?

• 104

• 88

• 90

• 100

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CCSS.7.EE.B.3

What is the sum of the first four exam scores if the average is 84?

• 336

• 340

• 320

• 344

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CCSS.7.NS.A.3

If the highest score possible is 100, what is the highest average achievable after 6 exams?

• 89.3

• 90

• 87.5

• 88

What is the average of 536 divided by 6?

• 90.3

• 89.3

• 88.3

• 87.3

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CCSS.6.SP.B.5C

What is the purpose of calculating an average?

• To find the highest value in a set.

• To represent a set of numbers with a single value.

• To determine the range of a set.

• To identify the median value.

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CCSS.6.SP.B.5C

What is the average if you score 100 on the next two exams, given the current average is 84?

• 87.5

• 89.3

• 90

• 88

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CCSS.7.NS.A.3

What mathematical operation is used to find the average of a set of numbers?

• Subtraction and multiplication

• Addition and division

• Addition and subtraction

• Multiplication and division

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CCSS.7.NS.A.3