Use the data set below to answer the following question.

2, 4, 7, 2, 3, 7, 9, 3, 1, 7

what is the mean absolute deviation (mad) of this data set?

The mean absolute deviation (MAD) of this data set is 2.4

Step-by-step explanation:

step 1

Find the mean

To find out the mean sum all values and divide by the number of values in the data set

we have the set of data

The number of values is 10

so

The mean is equal to

step 2

Find out the absolute value of the difference of each value from that mean

so

we have

step 3

we know that

The Mean Absolute Deviation (MAD) is the mean of those distances

therefore

The mean absolute deviation (MAD) of this data set is 2.4

answer: about 22.67

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true