Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions. Part A: Estimate the IQR for the males' data. (2 points) Part B: Estimate the difference between the median values of each data set. (2 points) Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points) Part D: Provide a possible reason for the outlier in the data set. (2 points)

A. For males, Third quartile =14, First quartile = 3   (approx)

IQR = Third quartile - First quartile

= 14-3 = 11

B. For males,  Median = 12

For females, Median = 17

The difference between the median values = 17-12=5

C. The mean would be a better measure of center for females because the data has no outliers.

The median would be a better measure of center for males because the data has outliers.

D. Reason for outlier:  A large number of males gone for movie which is extreme value for the remaining values.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is