Find the deviation from the mean for each of the data items - {3, 5, 8, 4, 9, 6, 7}.

The mean deviation is defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set. Mean deviation is further used to find variance and standard deviation of datasets. It can also give various other information regarding the dataset to be analyzed.

Answer: The mean deviation of the data items given is 12/7.

Let us understand how we arrived at the solution.

Explanation:

Step 1: First, we need to find the mean of the given data items.

⇒ Therefore, mean (μ) = (3 + 5 + 8 + 4 + 9 + 6 + 7) / 7 = 6

Step 2: Find the absolute difference between each data item and the mean.

⇒ Therefore, Absolute differences are {3, 1, 2, 2, 3, 0, 1}.

Step 3: Find the mean of the absolute differences, which gives the mean deviation.

⇒ Therefore, mean deviation = (3 + 1 + 2 + 2 + 3 + 0 + 1) / 7 = 12/7.

Hence, the mean deviation of the data items given is 12/7.