The data set represents the ages of players in a chess club. 27, 34, 38, 16, 22, 45, 54, 60. what is the mean absolute deviation of the data set?

The mean absolute deviation of the data set is:

                                 12.25

The data points are given as follows:

       27, 34, 38, 16, 22, 45, 54, 60.

  Total number of data points= 8

The mean of these data points is the average of the data points and is calculated as follows:

The absolute deviation of these data  points is calculated as follows:

x        Absolute deviation|x-x'|

27      |27-37|=10

34      |34-37|=3

38      |38-37|=1

16       |16-37|=21

22      |22-37|=15

45      |45-37|=8

54       |54-37|=17

60       |60-37|=23

Now, the mean of these absolute deviation i.e. Mean absolute deviation (MAD) is:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180