Question

The data set shows the depth of a scuba diver, in meters, relative to sea level. The depths were recorded at regular intervals over a 25 min period. {-9, -18, -16, -13, -14} What is the estimated mean absolute deviation of the scuba diver's depth over the entire 25 min? Round to tenths if necessary. Please help!

Answer 1

• Zero

Explanation:

Step 1. Find the mean

• (- 9 - 18 - 16 - 13 - 14)/5 = - 14

Step 2. Find the deviation of each value from the mean

• - 9 - (- 14) = 5
• - 18 - (- 14) = - 4
• - 16 - (- 14) = - 2
• - 13 - (- 14) = 1
• - 14 - (- 14) = 0

Step 3. Find the sum of the deviations

• 5 - 4 - 2 + 1 + 0 = 0

Step 4. Find the MAD

• 0/5 = 0