Question

Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). 0.9, 0.5, 0.3, 1.1. Find the mean absolute deviation (MAD) of the data set.

Answer 1

Answer:

Step-by-step explanation:

• MAD is simply the average distance that all of the numbers in your data set are from the mean.

• Your first step is to put your data in order, then determine the mean.

• Let’s look at this data set:

          0.3, 0.5, 0.9, 1.1

• The mean of this data set is 0.7

• Starting with the lower extreme, and checking every number in your data set, determine how far each number is from the mean.
• First, put the numbers in numerical order, from least to greatest.
• Determine the distance each number is from 0.7.
• 0.3=0.4
• 0.5=0.2
• 0.9=0.2
• 1.1=0.4
• Add up all of the distances.
• Total distance from the mean (12) ÷ 4 numbers in our data set = a mean absolute deviation of 3.

I added a PowerPoint that I made so that if you didn't understand it you could read off of it.

Answer 2

Answer:

$0.3$                                                            - written in $2/14/2021$

Step-by-step explanation:

The answer is $0.3$ because, $\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7$, so $0.7$ is the mean. After having found the mean, we have to subtract $0.7$ from the numbers, or the numbers from $0.7$:

Data Point    |   Distance from the mean

$0.9$                  |    $0.9-0.7=0.2$

$0.5$               ��  |    $0.7-0.5=0.2$

$0.3$                  |    $0.7-0.3=0.4$

$1.1$                  |     $1.1-0.7=0.4$

After finding out the Distance from the mean we'll use their sums and add them all up: $0.2+0.2+0.4+0.4$, then divide them by $4$ because there are $4$ numbers combined together: $\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3$.

So that's why the answer is $0.3$ (Happy Valentines Day!)