Question

A family went out to eat. Below is the number of coen dogs tbat each of the four people ate. Find the mean absolute deviation (mad) of the data set.

Answer 1

1.25

Explanation:

Give the data:

X : 1 1/2 ___ 0 _____ 4 ______ 2 1/2

Mean absolute deviation (MAD) :

Σ|x - xbar| ÷ n

xbar = Σx/ n

Σx = (1 1/2 + 0 + 4 + 2 1/2) = 8

xbar = 8/4 = 2

|x - xbar| :

|1 1/2 - 2|= 1/2

|0 - 2| = 2

|4 - 2| = 2

|2 1/2 - 2| = 1/2

Therefore,

MAD = (1/2 + 2 + 2 + 1/2) / n

MAD = 5/4

MAD = 1.25