What is the mean deviation of the data 8,9,12,15,16,20,24,30,32,34?

Sure, here's how you calculate the mean deviation of a data set:

Step 1: Calculate the Mean (Average) First, add up all the numbers in the data set: 8 + 9 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 34 = 200

Then, divide the sum by the number of data points. In this case, there are 10 data points: 200 ÷ 10 = 20

So, the mean (average) of the data set is 20.

Step 2: Calculate the Deviations Next, subtract the mean from each number in the data set and take the absolute value of each result. This gives you the deviation of each number:

|8 - 20| = 12 |9 - 20| = 11 |12 - 20| = 8 |15 - 20| = 5 |16 - 20| = 4 |20 - 20| = 0 |24 - 20| = 4 |30 - 20| = 10 |32 - 20| = 12 |34 - 20| = 14

Step 3: Calculate the Mean Deviation Finally, add up all the deviations and divide by the number of data points:

(12 + 11 + 8 + 5 + 4 + 0 + 4 + 10 + 12 + 14) ÷ 10 = 8

So, the mean deviation of the data set is 8.