Consider the data set on the number line. Determine the mean absolute deviation. Round to the nearest tenth.

7.1

Step-by-step explanation:

First add up all the numbers and divide by amount of numbers

Then subtract the average from all the numbers  and add them up again

and then divide by amount of numbers

7.1

Step-by-step explanation:

Add up the values to find the mean of the data set:

25 + 28 + 30 + 32 + 35 + 41 + 54 = 245

Divide 245 by 7 because there are 7 numbers in the number set.

Subtract the numbers of the data set by the mean.

25 - 35 = -10

28 - 35 = -7

30 - 35 = -5

32 - 35 = -3

35 - 35 = 0

41 - 35 = 6

54 - 35 = 19

The mean deviation is always positive so change the negatives to positives.  After that, add them up:

10 + 7 + 5 + 3 + 0 + 6 + 19 = 50

Then divide 50 by 7 because there are 7 numbers in the data set.

Rounded the answer is 7.1

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!