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Math OER
Week 4 Homework, Part A

The greatest reward for a student is not a good grade. It is the willingness of his teacher to listen to him.

- Nikolay Konstantinov

Answer every question. Try being nice to your eyes and posture by printing this page and working with pencil and paper. Then use the button at the bottom of the page to create a code by processing your answers. Copy-and-paste the code into an e-mail along with the answer to your short answer question.

Keep trying each homework assignment until you get 8 out of 10 or more.

An elementary school teacher asks her students, "What type of animal makes the best pet?". Each student was allowed one reply. The image below shows all their responses condensed together.

picture of all 21 responses

A middle school teacher asks his students, "What is your favorite movie genre?". Each student was allowed one reply. The image below shows all their responses condensed together.

picture of all 22 responses

Use those images to answer the following questions.

1. These surveys are examples of what kind of data?

numerical quantitative categorical univariate

2. If you wanted to create a histogram for the first set of data, which step would you not need to do?

tally the frequency for each bin
calculate the relative frequency for each bin
mark the bins on the horizontal axis and the range on the vertical axis
draw a rectangle for each bin

3. Which categories had the same frequency?

cat and drama horse and comedy bird and action romance and unicorn

4. If you created a Pareto chart for each set of data, which categories would be on the far left of those Pareto charts?

cat and drama bird and drama cat and action bird and action

5. If you were to create a bar chart for the second set of data, which of the following would be the best choice for the range on the vertical (frequency) axis?

0 to 8 0 to 12 2 to 8 2 to 10

6. What is the relative frequency of fish, comedy, and romance?

5% 10% 14% 18%

7. If these data sets were drawn as pie charts, how large would be the very biggest of all the wedges in both charts?

86 degrees 103 degrees 115 degrees 120 degrees

8. The middle school library had no movies, but decides it is time to buy some DVDs for students to watch at movie nights or use during class parties. The library buys 29 DVDs in proportions that follow the above survey of genres. (Where the survey results would indicate a decimal number for that genre, the librarian uses the traditional rule for rounding.) How many comedy DVDs are purchased?

2 4 6 8

9. Is it fair to say the elementary students have a favorite animal?

Yes. The choice "cat" won fair and square
Yes. They are little kids, and will agree to whatever their teacher declares.
Yes. Whomever said "unicorn" will win on show and tell day.
No. No option has a majority.
No. No option has a significantly higher frequency.
Snakes! Why did it have to be snakes?

10. Which survey has the most flawed premise?

The first. Those kids are to young to be responsible for a pet.
The second. Many movies fit into multiple genres.
The second. No one picked "classics". The school educating students poorly.
Snakes! Why did it have to be snakes?

Short Answer Question: For each of the data sets, turn in a Pareto chart and pie chart.