Two Arithmetic Means between -6 and 14

To find two arithmetic means between -6 and 14, we need to first understand what an arithmetic mean is. An arithmetic mean, also known as an average, is a value that represents a set of numbers. It is calculated by dividing the sum of all the numbers in the set by the total number of elements in the set. In this case, we are asked to find two arithmetic means between -6 and 14.

Step 1: Calculate the difference between the two given numbers
To find the arithmetic means, we need to calculate the difference between the two given numbers. In this case, the difference between -6 and 14 is 20.

Step 2: Divide the difference by the number of arithmetic means required
Since we are asked to find two arithmetic means, we need to divide the difference (20) by the number of arithmetic means required (2).

20 / 2 = 10

This means that each arithmetic mean will be 10 units apart from each other.

Step 3: Find the first arithmetic mean
To find the first arithmetic mean, we need to add the calculated difference (10) to the first given number (-6).

-6 + 10 = 4

Therefore, the first arithmetic mean between -6 and 14 is 4.

Step 4: Find the second arithmetic mean
To find the second arithmetic mean, we need to add the calculated difference (10) to the first arithmetic mean we found (4).

4 + 10 = 14

Therefore, the second arithmetic mean between -6 and 14 is 14.

Final Answer:
The two arithmetic means between -6 and 14 are 4 and 14.