Question

find the mean absolute deviation (mad) of the data in the bar chart below. bubbles bubbles blown by each gum chewer 6 5 do 17 problems

Explanation:

Step1: Identify the data values

Assuming the bar chart has two data points: let's say the first bar (maybe for one gum chewer) has a value of 5 and the second has a value of 6. So the data set is \( \{5, 6\} \).

Step2: Calculate the mean

The mean \( \bar{x} \) is calculated as \( \bar{x}=\frac{5 + 6}{2}=\frac{11}{2} = 5.5 \).

Step3: Calculate the absolute deviations

For \( x = 5 \): \( |5 - 5.5|=0.5 \)
For \( x = 6 \): \( |6 - 5.5| = 0.5 \)

Step4: Calculate the MAD

The mean absolute deviation is the mean of these absolute deviations.
\( MAD=\frac{0.5+0.5}{2}=\frac{1}{2}= 0.5 \)

Answer:

\( 0.5 \)