Question

The table shows the data of number of burgers ordered at two burger joints by the customers.
Calculate using variability, customers of which burger joint are more consistent in ordering similar number of of burgers?

• A. Cannot be determined
• B. Burger joint 1
• C. Both will be same
• D. Burger joint 2

Answer 1

The correct option is B Burger joint 1

Using the given data to calculate the MAD for both the restaurants,

For burger joint 1:

$\text{Mean number of burgers ordered =}\frac{\text{Sum}}{\text{Number of customers}}$
$=\frac{58}{10}=5.8$
Total absolute deviation = 10.8
$\text{Mean absolute deviation (MAD) =}\frac{\text{Total absolute deviation}}{\text{Number of observations}}$

$\text{Mean absolute deviation (MAD) =}\frac{10.8}{10}=1.08$

For burger joint 2:


$\text{Mean number of burgers ordered =}\frac{\text{Sum}}{\text{Number of customers}}$
$=\frac{56}{10}=5.6$
Total absolute deviation = 24
$\text{Mean absolute deviation (MAD) =}\frac{\text{Total absolute deviation}}{\text{Number of observations}}$

$\text{Mean absolute deviation (MAD) =}\frac{24}{10}=2.4$

$\because$ The 1.08 < 2.4, customers of burger joint 1 are more consistent in ordering similar number of burgers.