ACT SAT Prep How to determine the number to help us get a perfect average

The video tutorial explains how to solve a math problem involving averages. It starts with a problem about the average of a set of integers and how adding another integer changes the average. The teacher uses relatable examples, like calculating the average age of family members, to explain the concept of averages. The tutorial then walks through solving the problem using variables and equations, demonstrating how to find the unknown integer that changes the average.

What happens to the average of a set of numbers when a new number is added?

• The average always increases.

• The average always decreases.

• The average remains the same.

• The average can increase or decrease depending on the new number.

How do you calculate the average of a set of numbers?

• Subtract the smallest number from the largest.

• Add all numbers together and divide by the number of numbers.

• Multiply all numbers together and divide by the number of numbers.

• Add all numbers together and multiply by the number of numbers.

In the example given, what is the average age of Macy and her brothers?

• 19

• 16

• 17

• 18

What is the sum of the six integers if their average is 14?

• 78

• 72

• 90

• 84

What equation represents the new average when a 7th integer is added?

• (Sum of six integers + X) / 6 = 16

• (Sum of six integers + X) / 7 = 16

• (Sum of six integers + X) / 7 = 14

• (Sum of six integers + X) / 6 = 14

What is the value of the 7th integer that makes the new average 16?

• 24

• 26

• 28

• 30

What is the first step in solving the equation for the 7th integer?

• Divide both sides by 7.

• Subtract 84 from both sides.

• Multiply both sides by 7.

• Add 84 to both sides.