Questions: Calculate the average of any three numbers and report whether it is a whole number or not.

Transcript text: Calculate the average of any three numbers and report whether it is a whole number or not.

Solution

Solution Steps

To calculate the average of three numbers, sum the numbers and divide by three. Check if the result is a whole number by verifying if the remainder when divided by 1 is zero.

Step 1: Calculate the Average

To find the average of three numbers \(a\), \(b\), and \(c\), use the formula: \[ \text{Average} = \frac{a + b + c}{3} \]

Step 2: Determine if the Average is a Whole Number

A number is a whole number if it has no fractional part. This can be checked by verifying if the remainder when divided by 1 is zero: \[ \text{Is Whole} = (\text{Average} \mod 1) = 0 \]

Step 3: Apply to Test Cases

Test Case a: \(a = 10\), \(b = 2\), \(c = 1\) \[ \text{Average} = \frac{10 + 2 + 1}{3} = \frac{13}{3} \approx 4.3333 \] \(\text{Is Whole} = \text{False}\)
Test Case b: \(a = 3\), \(b = 5\), \(c = 7\) \[ \text{Average} = \frac{3 + 5 + 7}{3} = \frac{15}{3} = 5 \] \(\text{Is Whole} = \text{True}\)
Test Case c: \(a = 2\), \(b = 6\), \(c = -8\) \[ \text{Average} = \frac{2 + 6 - 8}{3} = \frac{0}{3} = 0 \] \(\text{Is Whole} = \text{True}\)