Understanding Two-Digit Multiples of 4

The question asks us to find the mean of the first 5 two-digit multiples of 4. First, we need to identify these specific numbers. A multiple of 4 is a number that can be obtained by multiplying 4 by an integer. Two-digit numbers are integers from 10 to 99.

Finding the First 5 Two-Digit Multiples of 4

Let's list the multiples of 4 and find the ones that are two-digit numbers:

• $4 \times 1 = 4$ (not two-digit)
• $4 \times 2 = 8$ (not two-digit)
• $4 \times 3 = 12$ (first two-digit multiple of 4)
• $4 \times 4 = 16$ (second two-digit multiple of 4)
• $4 \times 5 = 20$ (third two-digit multiple of 4)
• $4 \times 6 = 24$ (fourth two-digit multiple of 4)
• $4 \times 7 = 28$ (fifth two-digit multiple of 4)

So, the first 5 two-digit multiples of 4 are 12, 16, 20, 24, and 28.

Calculating the Mean

The mean (or average) of a set of numbers is calculated by summing all the numbers and dividing by the count of the numbers. The formula for the mean is:

$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total count of numbers}}$

In this case, the numbers are 12, 16, 20, 24, and 28. There are 5 numbers.

Let's calculate the sum:

Sum $= 12 + 16 + 20 + 24 + 28$

Sum $= 28 + 20 + 24 + 16 + 12$

We can group the numbers to make addition easier:

Sum $= (12 + 28) + (16 + 24) + 20$

Sum $= 40 + 40 + 20$

Sum $= 80 + 20$

Sum $= 100$

Now, we can calculate the mean:

$\text{Mean} = \frac{100}{5}$

$\text{Mean} = 20$

Therefore, the mean of the first 5 two-digit multiples of 4 is 20.