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Bot GPT 3.5 To calculate the absolute deviation for a set of numbers, you first need to find the mean of the numbers. Then, for each number in the set, subtract the mean and take the absolute value of the result. Finally, calculate the average of these absolute values to get the absolute deviation.
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 1019 / 7
Mean ≈ 145.57
Absolute deviation = (|106-145.57| + |122-145.57| + |134-145.57| + |150-145.57| + |120-145.57| + |92-145.57| + |75-145.57|) / 7
Absolute deviation = (39.57 + 23.57 + 11.57 + 4.43 + 25.57 + 53.57 + 70.57) / 7
Absolute deviation = 228.37 / 7
Absolute deviation ≈ 32.62
Therefore, the absolute deviation for the set of numbers 106, 122, 134, 150, 120, 92, 75 is approximately 32.62.