Question

Find the MAD {42, 50, 54, 38, 48). Round to nearest hundredth (two

Answer 1

Answer:

MAD is 5.12

Step-by-step explanation:

The following data were obtained from the question:

42, 50, 54, 38, 48

Next, we shall determine the mean of the data. This can be obtained as follow:

Mean = summation X / n

n is the number of the data.

Summation X = 42 + 50 + 54 + 38 + 48

Summation X = 232

n = 5

Mean = summation X / n

Mean = 232 / 5

Mean = 46.4

Therefore, the mean of the data is 46.4

Finally, we shall determine the mean absolute deviation (MAD) of the data as follow:

MAD = summation |mean – X| /n

MAD = (|(46.4 – 42) + (46.4 – 50) + (46.4 – 54) + (46.4 – 38) + (46.4 – 48|) /5

MAD = |4.4 + 3.6 + 7.6 + 8.4 + 1.6| /5

MAD = 25.6/5

MAD = 5.12

Therefore, the mean absolute deviation (MAD) is 5.12