Question

Given the values \(4,4,6,7,9\) give the deviation of each from the mean.

Short answer

The deviations of the values \(4,4,6,7,9\) from the mean are: \(-2, -2, 0, 1, 3\).

Step-by-step solution

Calculate the mean of the dataset

To find the mean, we sum up all the values in the dataset and then divide by the number of values in the set. In this case, we have 5 values: \(4,4,6,7,9\). Calculate the sum: \(4 + 4 + 6 + 7 + 9 = 30\) Now, divide the sum by the number of values (5) to find the mean: \(Mean = \frac{30}{5} = 6\) The mean of the dataset is 6.

Find the deviation for each value

To find the deviation of each value from the mean, we subtract the mean from each value. 1. Deviation of first value: \(4 - 6 = -2\) 2. Deviation of second value: \(4 - 6 = -2\) 3. Deviation of third value: \(6 - 6 = 0\) 4. Deviation of fourth value: \(7 - 6 = 1\) 5. Deviation of fifth value: \(9 - 6 = 3\)

Final Result

The deviations of the values \(4,4,6,7,9\) from the mean are: \(-2, -2, 0, 1, 3\).