Question

Helen recorded the number of tomatoes on each of her tomato plants and then arranged the numbers from smallest to largest. The number of tomatoes on each plant were 5, 5, 5, 6, 9, 10, 10,10, 10, and 10. The mean number of tomatoes was 8. What is the mean absolute deviation?

Answer 1

2.2

Explanation:

Given the data :

X = 5, 5, 5, 6, 9, 10, 10,10, 10, and 10

Mean of the data, xbar = 8

The mean absolute deviation, MAD is obtained thus :

Σ|x - xbar| / n

n = sample size

Σ|x - xbar| = (3 + 3 + 3 + 2 + 1 + 2 + 2 + 2 + 2 + 2)

Σ|x - xbar| / n = 22 / 10

MAD = 2.2