Mathematics

Answer questions associated with data introduction and frequency, distribution, percentiles, and graphical representations.

#### Question 1

Round the following numbers to two decimal places:

- 438.002.
- 512.345.
- 173.552.

#### Question 2

Apply order of operations rules and solve:

- √ (3 * 3 + 6 – 2
^{2}– 2). - (8 + 4
^{2}– 4)/5. - 8 – 2 * 3 + 4/2.
- 40 – 6 * 5 – 2.
- √([10–7] * 3) – 2.

#### Question 3

Identify the highest possible scale (nominal, ordinal, interval, or ratio) for the following:

- Preferred political party.
- Number of children.
- Number of sodas you drank today.
- Temperature in Fahrenheit.
- Class rank.

#### Question 4

Identify the highest possible scale (nominal, ordinal, interval, or ratio) for the following:

- Gender.
- Weight of an object.
- Book genre.
- Extraversion.
- Award categories at the Oscars.

#### Question 5

Identify the variables below as continuous (C) or discrete (D):

- Time it takes to fall asleep.
- Number of languages you speak.
- Number of adults living in a household.
- Speed of an airplane.
- Weight of cars.

#### Question 6

Twenty people were asked how many computers they own. Use the provided data to create a table showing frequency and cumulative frequency.

1, 2, 0, 1, 3, 4, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 4, 0, 1, 1.

Number of Computers | Frequency | Cumulative Frequency |
---|---|---|

4 | ||

3 | ||

2 | ||

1 | ||

0 |

#### Question 7

A psychology professor wants to examine how many times her students missed class during the previous semester. She had 40 students registered in her class, and her attendance records revealed the following:

0, 2, 0, 6, 3, 6, 7, 1, 1, 2, 1, 1, 3, 4, 5, 4, 0, 0, 1, 1, 2, 2, 2, 3, 5, 8, 4, 2, 1, 0, 2, 1, 0, 6, 8, 1, 2, 1, 1, 0.

- Using the above data, create a grouped frequency table in 2-miss intervals.
- Using the above data, create a grouped frequency table in 4-miss intervals.
- Using the above data, create a grouped frequency table in 6-miss intervals.
- Which of these tables provides the clearest picture of the data and why?

#### Question 9

Identify the probable shape of the frequency curve (normal, negatively skewed, or positively skewed) for the following:

- Class test scores on a very difficult final exam.
- Population IQ scores.
- SAT scores of Ivy League students.
- Class test scores on a very easy final exam.
- SAT scores of all students who have taken the exam in the last five years.

#### Question 11

Twenty first graders were asked to identify their favorite color. Using the following results, create a data file in SPSS (you will enter the date in Data View and define your variables in Variable View) and create a bar graph. Copy and paste the bar graph to your Word document.

- Blue = 8.
- Red = 6.
- Green = 2.
- Yellow = 4.

#### Submission Requirements

- Submit all answers in one Word document (do not submit multiple files).
- Show your work for questions that require calculations.
- Ensure your answer to each problem is clearly visible (you may want to highlight your answer or use a different font color to set it apart).

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