Question

1. (l138) find the median and range of the data.

a) median = 15; range = 15
b) median = 6; range = 15
c) median = 5; range = 36
d) median = 36; range = 51
e) none of the above

1. (l122) edie is trying to decide which printing service to use for her neighborhood newsletter. the first printer charges a $5.00 fee plus $0.25 per full - color page. the second printer charges a $10.00 fee plus $0.20 per full - color page. over what range of pages will edie pay less by using the first printer?

a) less than 100 pages
b) more than 100 pages
c) less than 50 pages
d) more than 50 pages but less than 200 pages
e) more than 100 pages but less than 200 pages
end of test

Explanation:

24.

Step1: Recall median and range formulas

Median is middle - value (for odd - numbered data set) or average of two middle - values (for even - numbered data set). Range = maximum value - minimum value. Since no data is given, we assume we are checking the given options conceptually. But without data, we can't calculate directly. However, we can analyze the options.

Step2: Analyze option a

If median = 15 and range = 15, it is a possible scenario for a data set.

Step3: Analyze option b

Median = 6 and range = 15 is also a possible scenario for some data set.

Step4: Analyze option c

Median = 5 and range = 36 is a possible scenario for some data set.

Step5: Analyze option d

Median = 36 and range = 51 is a possible scenario for some data set.
Since we have no data to calculate the actual median and range, we assume we are checking if the values in the options are possible. All of the above options represent possible values for median and range of some data sets.

Step1: Set up cost equations

Let $x$ be the number of full - color pages. The cost of the first printer $C_1=5 + 0.25x$. The cost of the second printer $C_2 = 10+0.20x$.

Step2: Set up the inequality

We want to find when $C_1

Step3: Solve the inequality

Subtract $0.20x$ from both sides: $5 + 0.25x-0.20x<10+0.20x - 0.20x$, which simplifies to $5+0.05x<10$. Then subtract 5 from both sides: $0.05x<10 - 5$, so $0.05x<5$. Divide both sides by 0.05: $x<\frac{5}{0.05}=100$.

Answer:

e. None of the above

25.