Question

on the board, your teacher shows an example of finding the range. one of the numbers is erased, leaving what is shown. which of the following could not be true? the missing number is 11. the missing number is 20. the missing number is 25. the missing number is 30.

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Identify current max and min

Current numbers are 18, 30, 26, 12, 22. Current max = 30, current min = 12.

Step3: Analyze option 1 (missing number = 11)

New min would be 11. Range = 30 - 11=19≠18, so this is not possible.

Step4: Analyze option 2 (missing number = 20)

Max = 30, min = 12, range = 30 - 12 = 18. This is possible.

Step5: Analyze option 3 (missing number = 25)

Max = 30, min = 12, range = 30 - 12 = 18. This is possible.

Step6: Analyze option 4 (missing number = 30)

Max = 30, min = 12, range = 30 - 12 = 18. This is possible.

Answer:

The missing number is 11.