Calculate the mean deviation of the first five prime numbers.

To calculate the mean deviation of the first five prime numbers, we need to follow these steps:
Step 1: Find the mean/average of the five prime numbers. The mean is calculated by adding up all the numbers and dividing the sum by the total number of values. In this case, we have 2, 3, 5, 7, and 11 as our prime numbers. So we add them up: 2 + 3 + 5 + 7 + 11 = 28. Then, we divide this sum by 5 (the total number of values): 28 ÷ 5 = 5.6.
Step 2: Find the deviation of each number from the mean. To do this, we subtract the mean from each number. For the given prime numbers, the deviations are as follows: - Deviation of 2 from the mean: 2 - 5.6 = -3.6 - Deviation of 3 from the mean: 3 - 5.6 = -2.6 - Deviation of 5 from the mean: 5 - 5.6 = -0.6 - Deviation of 7 from the mean: 7 - 5.6 = 1.4 - Deviation of 11 from the mean: 11 - 5.6 = 5.4
Step 3: Find the absolute value of each deviation. Absolute value means removing the negative sign, if any, and considering only the magnitude of the deviation. The absolute values of the deviations in this case are: - Absolute value of -3.6: 3.6 - Absolute value of -2.6: 2.6 - Absolute value of -0.6: 0.6 - Absolute value of 1.4: 1.4 - Absolute value of 5.4: 5.4
Step 4: Find the average of these absolute deviations, which is the mean deviation. To do this, we add up all the absolute deviations and divide by the total number of values. In this case, we have 3.6 + 2.6 + 0.6 + 1.4 + 5.4 = 13.6. Then, we divide this sum by 5 (the total number of values): 13.6 ÷ 5 = 2.72.
Therefore, the mean deviation of the first five prime numbers is 2.72.