Question

the numbers of customers at a café over five days were 40, 50, 35, 45, and 50. what is the mad of the customer counts?

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{40 + 50+35 + 45+50}{5}=\frac{220}{5}=44$

Step2: Calculate the absolute deviations

For $40$: $|40 - 44|=4$
For $50$: $|50 - 44|=6$
For $35$: $|35 - 44|=9$
For $45$: $|45 - 44|=1$
For $50$: $|50 - 44|=6$

Step3: Calculate the mean of absolute deviations (MAD)

$MAD=\frac{4 + 6+9 + 1+6}{5}=\frac{26}{5}=5.2$

Answer:

5.2