Question

the list shows the weight in pounds of 6 puppies at birth. 3, 1.6, 2.8, 2.5, 1.7, 2.8 what is the mean absolute deviation of these numbers?

Answer 1

To find the mean absolute deviation (MAD) of the given set of numbers, follow these steps:

Step 1: Find the mean (average) of the numbers.
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6 = 2.3667 (rounded to 4 decimal places)

Step 2: Find the absolute deviation of each number by subtracting the mean from each number and taking the absolute value.
|3 - 2.3667| = 0.6333
|1.6 - 2.3667| = 0.7667
|2.8 - 2.3667| = 0.4333
|2.5 - 2.3667| = 0.1333
|1.7 - 2.3667| = 0.6667
|2.8 - 2.3667| = 0.4333

Step 3: Find the mean of the absolute deviations.
MAD = (0.6333 + 0.7667 + 0.4333 + 0.1333 + 0.6667 + 0.4333) / 6
MAD = 0.5 (rounded to 1 decimal place)

Therefore, the mean absolute deviation of the given set of numbers is 0.5.