Question

Kylie surveyed seven classmates about the number of pieces of fruit they eat each week.

9, 4, 6, 2, 11, 10,7

a. What is the mean absolute deviation of the data set?
b. What does this value mean in terms of the data set?​

Answer 1

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57