Will give 5 stars, brainliest, and ! 3. consider the following box plot. (a) find the interquartile range. (b) what percent of values is included within the range from part (a)?

From the box plot we can see the following measure:

a) Minimum Value = 0
b) 1st Quartile = 2.25
c) Median = 3
d) 3rd Quartile = 4.75
e) Maximum Value = 6

Question 1)

Find the Inter Quartile Range (IQR):

The Inter Quartile Range(IQR) is calculated as the difference between 3rd quartile and the 1st quartile.

So,

IQR = 3rd Quartile - 1st Quartile

Using the values, we get:

IQR = 4.75 - 2.25 = 2.50

Question 2)

Values included in the Inter Quartile Range:

1st Quartile separates the lower 25% values from the top 75% values.
3rd Quartile separates the lower 75% values from the top 25% values.
In between the 1st and 3rd Quartile, the middle 50% of the values exist. The remaining 50% are on the either sides of the 1st and 3rd Quartiles.

So, from 2.25 to 4.75, the middle 50% of the values exist. 

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

The length of what is left would be 1 1/2 feet long.