Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
332
© 2014 Pacific Crest
2. A bicycle axle is designed to be 0.75” in (outside) diameter and to fit into an axle tube 0.76” in
(inside) diameter. Samples from the production of axles and tubes are reported in the following table.
Sample
Axle
Tube
1
0.748
0.745
2
0.753
0.758
3
0.740
0.758
4
0.753
0.765
5
0.751
0.755
6
0.751
0.767
Sample
Axle
Tube
7
0.740
0.768
8
0.736
0.747
9
0.756
0.749
10
0.756
0.755
11
0.751
0.762
12
0.752
0.765
Is the process working well?
3. What does the average taxpayer pay in taxes as a percentage of income, given the data shown here?
Tax Table
Income
Tax Rate
0 – $ 9,000
0%
$ 9,001 – $ 14,000 15%
$ 14,001 – $ 22,000 20%
$ 22,001 – $ 45,000 28%
$ 45,001 – $ 64,000 33%
$ 64,001 +
36%
Wage Earner Distribution
% of Employees Income (at least)
15%
$ 15,000
7%
$ 20,000
9%
$ 25,000
21%
$ 30,000
13%
$ 35,000
6%
$ 40,000
4%
$ 45,000
8%
$ 55,000
5%
$ 75,000
6%
$ 90,000
2%
$ 125,000
4%
$ 150,000
H
ardest Problem
How hard
can
it be? Can you still use what you’ve learned?
Based on the Models, the Methodologies, and the Demonstrate Your Understanding (DYU) problems in
this activity, create the
hardest
problem you can. Start with the hardest DYU problem in this experience
and by contrasting and comparing it with the other DYU problems, play “What if” with the different
conditions and parameters in the various problems.
Can you still solve the problem? If so, solve it. If not, explain why not.
What are the conditions and parameters that make a problem where you must analyze data a difficult problem
to solve?