Question

Help me plz i dum reeee

Answer 1

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: $Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}$

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

$Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7$

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

$Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5$

So, the mean absolute deviation of the data set is 2.5