# #1Data Introduction And Frequency, Distribution STATISTICS

### ssessment Instructions

Answer the questions below, following the Submission Requirements as specified at the end of the assessment.

Assessment Concepts
Question Topic
Question 1 Rounding
Question 2 Order of Operations
Question 3 Scales of Measurement
Question 4 Scales of Measurement
Question 5 Continuous Versus Discrete Tables
Question 6 Frequency Tables
Question 7 Grouped Frequency Tables
Question 8 SPSS: Creating Ascending and Descending Frequency Tables
Question 9 Symmetry and Skew
Question 10 SPSS: Creating Histograms and Line, Bar, and Pie Graphs
Question 11 SPSS: Creating Variables in Variable View

#### 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 – 22 – 2).
• (8 + 42 – 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.

Frequency and Cumulative Frequency
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 8

Complete the following steps:

1. Open the SPSS file assessment1a.sav linked in the Resources under the Required Resources heading.
2. At the top of the screen, click on Analyze, select Descriptive Statistics, then select Frequencies.
3. Click on Score, then click on the arrow to send it over to the right side of the table.
4. Click on OK. Copy and paste the ascending values frequency table to your Word document.
5. Go back to Data View, click on Analyze, select Descriptive Statistics, then select Frequencies.
6. Click on Format, then on Descending Values. Click Continue and then OK. Copy and paste the descending values frequency table to your Word document.

#### 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 10

Complete the following steps:

1. Open the SPSS file assessment1a.sav.
2. At the top of the screen, click on Graphs, select Legacy Dialogs, then select Histogram.
3. Click on Score, then click on the arrow to send it over to the variable box.
4. Click on OK. Copy and paste the histogram to your Word document.
5. Go back to Data View, click on Graphs, select Legacy Dialogs, then select Line.
6. Click on Simple, then on Define. Click on Score, then click on the arrow to send it over to the Category Axis box.
7. Click on OK. Copy and paste the line graph to your Word document.
8. Open the SPSS file assessment1b.sav linked in the Resources under the Required Resources heading.
9. At the top of the screen, click on Graphs, select Legacy Dialogs, then select Bar.
10. Click on Simple, then on Define. Click on Political Party, then click on the arrow to send it over to the Category Axis box.
11. Click on OK. Copy and paste the bar graph to your Word document.
12. Go back to Data View, click on Graphs, select Legacy Dialogs, then select Pie.
13. Click on Summaries for groups of case, then on Define. Click on Political Party, then click on the arrow to send it over to the Define Slices By box.
14. Click on OK. Copy and paste the pie graph to your Word document.

#### 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).

**********THIS ASSIGNMENT REQUIRES  FILES THAT CANNOT BE UPLOADED HERE..*****************

This course requires the following as a minimum:

• IBM SPSS Statistics Base GradPack