Question

What is the Mean Absolute Deviation or MAD for each city?

Answer 1

Answer:

A: ⅚

B: ⅚

Step-by-step explanation:

City A: 4, 3.5, 5, 5.5, 4, 2

Mean: sum/n

= 24/6 = 4

|x - mean|: 0, 0.5, 1, 1.5, 0 , 2

MAD = sum|x - mean|/n

5/6 = 0.833

City B: 5, 6, 3.5, 5.5, 4, 6

Mean: 30/6 = 5

|x - mean|: 0, 1, 1.5, 0.5, 1, 1

MAD = sum|x - mean|/n

5/6 = 0.833

Answer 2

Answer:

5/6 and 5/6

Step-by-step explanation:

City A:

step 1: find the mean (average)

(4 + 3.5 + 5 + 5.5 + 4 + 2) / 6 = 4

step 2 and 3: find the difference between each data value and the mean AND take the absolute value of each difference

|4 - 4| = 0

|3.5 - 4| = |-0.5| = 0.5

|5 - 4| = 1

|5.5 - 4| = 1.5

|4 - 4| = 0

|2 - 4| = |-2| = 2

step 4: find the mean (average) of these differences

(0 + 0.5 + 1 + 1.5 + 0 + 2) / 6 = 5/6

City B:

step 1: find the mean (average)

(5 + 6 + 3.5 + 5.5 + 4 + 6) / 6 = 5

step 2 and 3: find the difference between each data value and the mean AND take the absolute value of each difference

|5 - 5| = 0

|6 - 5| = 1

|3.5 - 5| = |-1.5| = 1.5

|5.5 - 5| = 0.5

|4 - 5| = |-1| = 1

|6 - 5| = 1

step 4: find the mean (average) of these differences

(0 + 1 + 1.5 + 0.5 + 1 + 1) / 6 = 5/6

Hope this helps!