spring-2011-math-1120-003

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Spirit and Uses of Mathematics 2, Spring 2011, University of Colorado

Solutions to Review for Test 3

Solutions to all but the final problem on the review are posted as an attachment here. We will discuss the final problem briefly in class on Friday.

Review for Test 3

  1. Calculate the mean, median and mode for each of the following data sets.

    1. 4, 8, 3, 3, 5, 3, 5, 7, 1, 9, 0, 2

    2. 18, 22, 22, 17, 30, 18, 12

  2. Selina claimed that in her class all of the scores on a test were either 100 or 50, so the mean must be 75. Explain whether or not this reasoning is valid.

  3. Use the data in the table to calculate the following:

    1. Range.

    2. Mean.

    3. Variance.

    4. Standard Deviation.

    \begin{array}[]{|r|c|}\hline\textbf{Salary}&\textbf{Number of Workers}\\<br />
\hline\hline\$ 18,000&2\\<br />
\$ 22,000&4\\<br />
\$ 26,000&4\\<br />
\$ 35,000&3\\<br />
\$ 38,000&12\\<br />
\$ 44,000&8\\<br />
\$ 50,000&4\\<br />
\$ 80,000&2\\<br />
\$ 150,000&1\\<br />
\hline\end{array}
  4. The youngest person in a company is 24 years old. The ranges of ages is 34 years. How old is the oldest person in the country?

Assignment 8

Due Date: 
Monday, April 25, 2011 - 16:00

Section 11.1 (pp. 692-696)
A: 2a--d, 3, 4, 6, 8, 9, 11.
B: 3, 4, 5.
Mathematical Connections: 5.

Section 11.2 (pp. 705-709)
A: 1, 4, 5, 6, 8.
B: 1, 3, 4, 5.
Mathematical Connections: 1

Assignment 7

Due Date: 
Monday, April 11, 2011 - 16:00

Section 10.3 (pp. 651-657)
A: 1-4, 7, 9, 10, 13, 16, 18, 19(a,b,c,d,e,f), 20-24.
B: 17.
Mathematical Connections: 4.

Solutions to Review for Test 2

The solutions to the review are attached to this post. Please inform me if you spot any errors, or find something questionable.

Assignment 6

Due Date: 
Monday, March 28, 2011 - 16:00

Section 10.2 (pp. 624-629)
A: 1-3, 5, 7, 8.
B: 2, 3, 7.
Mathematical Connections: 1.

Solutions will be made available immediately after the assignment is due.

Review for Test 2

The review for test 2 is attached to this post.

Assignment 5

Due Date: 
Monday, March 14, 2011 - 16:00

Section 9.4 (pp. 572-574)
A: 1, 3, 4, 7, 8, 10.
B: 2, 3, 4, 5, 6, 11, 12, 15, 16.
Mathematical Connections: 1.

Section 9.5 (pp. 584-587)
A: 2--5, 8, 12, 13, 14.
B: 1, 3, 4, 9, 13, 14.
Mathematical Connections: 1.

Section 10.1 (pp. 608-614)
A: 4, 5, 6(b), 8, 10, 12, 15.
B: 10, 11.
Mathematical Connections: 2, 3, 6.

Special Instructions:
10.1.A: 6(b) - Do a histogram instead of a bar graph.
10.1.A: 8 - In addition to a-d, please also do a frequency table and a histogram of the data with classes of length 5, like the frequency table and bar graph on page 603.
10.1.A: 10 - Do a histogram instead of a bar graph.
10.1.A: 15 - Do a histogram instead of a bar graph.

Section 9.4

Section: 
9.4
Date: 
Wednesday, March 2, 2011 - 12:00 - 12:50

Today in class, we started Section 9.4 in the text. We covered up through "expected value." I mentioned expected value briefly, but we'll cover that in more detail and start 9.5 on Friday.

We did a worksheet in pairs about the probability related to throwing 2 fair dice and summing the results. We'll be covering the back side of that worksheet after we look at expected value more in class.

Section 9.2

Section: 
9.2
Date: 
Friday, February 25, 2011 - 12:00

Today, we did examples from Section 9.2 in the text. Keep in mind that I am writing the probability trees from top to bottom instead of left to right.

© 2011 Jason B. Hill. All Rights Reserved.