The number of visitors to the museum per hour recorded in one day is 106 122 134 150 120 92 75 what is the absolute deviation for the dataset
To find the absolute deviation for a dataset, follow these steps:
1. Calculate the mean (average) of the dataset by adding up all the numbers and dividing by the total count.
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
= 799 / 7
= 114.14 (approximately)
2. Subtract the mean from each number in the dataset to calculate the deviation for each number.
Deviation from the mean = (106 - 114.14) + (122 - 114.14) + (134 - 114.14) + (150 - 114.14) + (120 - 114.14) + (92 - 114.14) + (75 - 114.14)
= -8.14 + 7.86 + 19.86 + 35.86 + 5.86 - 22.14 - 39.14
3. Take the absolute value of each deviation. This removes any negative signs.
Absolute deviation from the mean = 8.14 + 7.86 + 19.86 + 35.86 + 5.86 + 22.14 + 39.14
= 139.86
The absolute deviation for the dataset is approximately 139.86.
To find the absolute deviation for the dataset, we first need to find the mean of the dataset.
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7 = 99.57 (rounded to two decimal places)
Next, we find the deviation of each data point from the mean.
Deviation from the mean for each data point:
|106 - 99.57| = 6.43
|122 - 99.57| = 22.43
|134 - 99.57| = 34.43
|150 - 99.57| = 50.43
|120 - 99.57| = 20.43
|92 - 99.57| = 7.57
|75 - 99.57| = 24.57
Now, we find the average of these deviations.
Average Deviation = (6.43 + 22.43 + 34.43 + 50.43 + 20.43 + 7.57 + 24.57) / 7 = 24.00 (rounded to two decimal places)
Therefore, the absolute deviation for the dataset is 24.00.