Find the mean deviation of 2,4,6,5 and 3
To find the mean deviation, follow these steps:
Step 1: Find the mean (average) of the numbers.
2 + 4 + 6 + 5 + 3 = 20
20/5 = 4
Step 2: Subtract the mean from each number to find the deviation.
2 - 4 = -2
4 - 4 = 0
6 - 4 = 2
5 - 4 = 1
3 - 4 = -1
Step 3: Take the absolute value of each deviation.
|-2| = 2
|0| = 0
|2| = 2
|1| = 1
|-1| = 1
Step 4: Find the mean (average) of the absolute deviations.
(2 + 0 + 2 + 1 + 1)/5 = 6/5 = 1.2
Therefore, the mean deviation of the numbers 2, 4, 6, 5, and 3 is 1.2.
To find the mean deviation of a data set, you need to follow these steps:
Step 1: Calculate the mean (average) of the data set.
Step 2: Find the difference between each data point and the mean.
Step 3: Take the absolute value of each difference.
Step 4: Calculate the mean of the absolute differences.
Let's apply these steps to find the mean deviation of the data set {2, 4, 6, 5, 3}:
Step 1: Calculate the mean:
Mean = (2 + 4 + 6 + 5 + 3) / 5 = 4
Step 2: Find the difference between each data point and the mean:
- For 2: Difference = 2 - 4 = -2
- For 4: Difference = 4 - 4 = 0
- For 6: Difference = 6 - 4 = 2
- For 5: Difference = 5 - 4 = 1
- For 3: Difference = 3 - 4 = -1
Step 3: Take the absolute value of each difference:
- For -2: Absolute Difference = |-2| = 2
- For 0: Absolute Difference = |0| = 0
- For 2: Absolute Difference = |2| = 2
- For 1: Absolute Difference = |1| = 1
- For -1: Absolute Difference = |-1| = 1
Step 4: Calculate the mean of the absolute differences:
Mean Deviation = (2 + 0 + 2 + 1 + 1) / 5 = 1.2
Therefore, the mean deviation of the data set {2, 4, 6, 5, 3} is 1.2.