1.456 mean absolute deviation.
The mean absolute deviation (MAD) for a set of numbers can be calculated by finding the absolute difference between each number and the mean of the set, and then taking the average of those absolute differences.
For example, let's calculate the MAD for the set of numbers: 1, 4, 5, 6.
First, find the mean of the set: (1 + 4 + 5 + 6) / 4 = 16 / 4 = 4.
Next, find the absolute difference between each number and the mean:
|1 - 4| = 3
|4 - 4| = 0
|5 - 4| = 1
|6 - 4| = 2
Then, calculate the average of those absolute differences:
(3 + 0 + 1 + 2) / 4 = 6 / 4 = 1.5
Therefore, the mean absolute deviation for the set of numbers 1, 4, 5, 6 is 1.5.
To calculate the mean absolute deviation (MAD) of a data set, follow these steps:
Step 1: Calculate the mean of the data set by summing all the values and dividing by the total number of values.
In your case, the dataset has one value: 1.456. So, the mean is simply 1.456.
Step 2: Calculate the absolute deviation for each value in the dataset by subtracting the mean from each value and take the absolute value (ignoring any negative signs).
Absolute Deviation = |Value - Mean|
For your dataset, the only value is 1.456. Therefore, the absolute deviation is:
|1.456 - 1.456| = 0
Step 3: Repeat Step 2 for each value in the dataset.
Since you only have one value, we don't need to continue further.
The mean absolute deviation (MAD) is the average of the absolute deviations calculated in Step 2. As your dataset has only one value and the deviation is 0, the MAD is also 0.
To calculate the mean absolute deviation (MAD) for a set of numbers, follow these steps:
1. Determine the mean (average) of the numbers in the set. In this case, the given set is {1.456} and the mean is also 1.456.
2. Subtract the mean from each number in the set to find the deviation of each number. In this case, the deviation is 0, since the only number in the set is equal to the mean.
3. Take the absolute value of each deviation. Absolute value represents the distance of a number from zero. Since the deviations in this case are all 0, the absolute values are also 0.
4. Calculate the sum of all the absolute deviations. Again, since all the deviations are 0, the sum is also 0.
5. Divide the sum of the absolute deviations by the number of numbers in the set (which is 1 in this case) to find the mean absolute deviation. The formula for MAD is:
MAD = Sum of absolute deviations / Number of numbers
In this case, MAD = 0 / 1 = 0.
Therefore, the mean absolute deviation (MAD) for the set {1.456} is 0.