Match each data set with its mean absolute deviation.
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1.456
1.728
3.333
2.741
Mean absolute deviation (MAD) is a measure of the dispersion or spread of a data set. It is calculated by finding the average absolute difference between each data point and the mean of the data set.
To match each data set with its mean absolute deviation, we need the actual data sets mentioned. Please provide the data sets so that the MAD can be calculated.
To calculate the mean absolute deviation (MAD) for a data set, follow these steps:
1. Find the mean of the data set
2. Subtract the mean from each value in the data set to find the deviations
3. Take the absolute value of each deviation
4. Find the mean of the absolute deviations
Let's calculate the MAD for each data set:
Data set 1:
1.456
1.728
3.333
2.741
Step 1: Find the mean
(1.456 + 1.728 + 3.333 + 2.741) / 4 = 2.3145
Step 2: Find the deviations
1.456 - 2.3145 = -0.8585
1.728 - 2.3145 = -0.5865
3.333 - 2.3145 = 1.0185
2.741 - 2.3145 = 0.4265
Step 3: Find the absolute deviations
| -0.8585 | = 0.8585
| -0.5865 | = 0.5865
| 1.0185 | = 1.0185
| 0.4265 | = 0.4265
Step 4: Find the mean of the absolute deviations
(0.8585 + 0.5865 + 1.0185 + 0.4265) / 4 = 0.7225
Therefore, the mean absolute deviation for the data set {1.456, 1.728, 3.333, 2.741} is 0.7225.
To find the mean absolute deviation (MAD) for each data set, we need the actual data sets. The numbers you provided (1.456, 1.728, 3.333, and 2.741) appear to be individual values, not a data set.
To calculate the MAD, we need a set of data points. For example, if we have the following data set: 3, 5, 7, 9, 11, the steps to find the MAD would be as follows:
1. Calculate the mean (average) of the data set by adding up all the values and dividing by the number of values:
(3 + 5 + 7 + 9 + 11) / 5 = 7
2. Find the absolute deviation of each value from the mean. Absolute deviation is the absolute value of the difference between each value and the mean. For example, the absolute deviation of 3 from the mean (7) is |3 - 7| = 4.
3. Calculate the average of the absolute deviations by adding up all the absolute deviations and dividing by the number of values. In this case, since we have 5 values, we divide by 5:
(|3 - 7| + |5 - 7| + |7 - 7| + |9 - 7| + |11 - 7|) / 5 = (4 + 2 + 0 + 2 + 4) / 5 = 2.4
So, to find the MAD for each data set, we need the actual data sets, not just individual values. Please provide the full data sets, and I'll be able to help you calculate the MAD for each one.