To find the mean absolute deviation (MAD), we first need to find the mean of the dataset.
The mean is calculated by adding up all the values and dividing by the number of values.
109 + 89 + 112 + 98 + 101 + 105 + 120 + 106 = 840
Next, we divide the sum by the number of values.
840 ÷ 8 = 105
So, the mean of the dataset is 105.
To find the absolute deviation, we subtract the mean from each value in the dataset and take the absolute value.
Abs(109 - 105) = 4
Abs(89 - 105) = 16
Abs(112 - 105) = 7
Abs(98 - 105) = 7
Abs(101 - 105) = 4
Abs(105 - 105) = 0
Abs(120 - 105) = 15
Abs(106 - 105) = 1
Next, we find the sum of all the absolute deviations.
4 + 16 + 7 + 7 + 4 + 0 + 15 + 1 = 54
The mean absolute deviation is found by dividing the sum of the absolute deviations by the number of values.
54 ÷ 8 ≈ 6.8
Therefore, the mean absolute deviation of the dataset is approximately 6.8.
The number of words Mr. Ahmad’s students read per minute is 109, 89, 112, 98, 101, 105, 120, 106. What is the mean absolute deviation of the dataset? Round the answer to the nearest tenth.(1 point).
1 answer