13.7. Question 6

Try these first

1. 1.

   Calculate the average of the numbers 4, 5, and 6.

   Hint

   Sum the numbers and then divide by how many numbers there are.

2. 2.

   If the numbers are 2, 2, and 3, which number is greater than the average?

   Hint

   First calculate the average.

3. 3.

   What is the average of the numbers: 5, 10, and 15?

   • 7
   • 10
   • 15
   • 20

   Hint

   Add all numbers and divide by 3.

4. 4.

   If all numbers in a set are less than the average, is this possible?

   • True
   • False

   Hint

   Think back to the contradiction method we discussed.

5. 5.

   Given the numbers 1, 2, 4, 5, 8, demonstrate that at least one number is greater than the average, then calculate the average.

   Hint

   First, compute the average correctly before identifying the numbers altering the interpretation.

6. 6.

   You have temperatures recorded as 30, 32, 31, 29, and 28 degrees celcius. Prove at least one recorded temperature is above the average.

   Hint

   Remember to sum up the temperatures and divide by the count.