# Statistics

Statistics

the data set. Use the variable Review and answer the following questions:

1. Using the Variable View in SPSS (lower left), write out how Review is labeled, and note how many Review categories are included.

2. What type of data and level of measurement does the Review variable represent: Is the data discrete or continuous? Is the data qualitative or quantitative? Is the data nominal, ordinal, ratio, or interval?

3. Use SPSS to output the mean, median, and mode for the Review. Include the SPSS here. Which of the three descriptive numerical measures of central tendency (mean, median, or mode) BEST describes the variable Review? What information does the measure tell you about the students in the data set (Stat_Grades.sav) – be specific?

4. Which of the three descriptive numerical measures of central tendency (mean, median, or mode) LEAST (or most poorly) describes the variable Review? Explain.

5. Choose the most appropriate graph to represent the variable Review. (There is more than one possible answer). Create the graph in SPSS and include it here. Be sure the graph is fully labeled. Does this graph confirm what the mode tells you about this data set? Explain.

(For questions 6 – 9): There are many variables in Stat_Grades.sav that can be used to describe the students in the data set. Use the variable prevGPA  (previous GPA) and answer the following questions:

6. What type of data and level of measurement does the prevGPA variable represent: Is the data discrete or continuous? Is the data qualitative or quantitative? Is the data nominal, ordinal, ratio, or interval?

7. Use SPSS to output the mean, median, and mode for the prevGPA. Include the SPSS here. Which of the three descriptive numerical measures of central tendency (mean, median, or mode) BEST describes the variable prevGPA? What information does the measure tell you about the students in the dataset (Stat_Grades.sav)?

8. Which descriptive numerical measure of central tendency is LEAST appropriate to describe the variable prevGPA? Use SPSS to output ONLY that one numerical measure. Include it here. Why is that numerical measure the least appropriate? What information does that measure tell you about the students in the data set (Stat_Grades.sav)?

9. Choose the most appropriate graph to represent the variable prevGPA. Create the graph in SPSS and include it here. Be sure the graph is fully labeled. Discuss why you chose this graph type and what it tells you about the students in the class.

(For questions 10-13): Relationships (correlation) between variables.

10. List all five quizzes, and include for each quiz, the numerical measures of mean, range, and standard deviation. Explain what these measures tell you about the quizzes as compared to each other. On which quiz did students appear to perform the best? Which quiz had the lowest performance? Which quiz had the highest variance (variation in scores) and what does that tell you about that quiz? (100 word minimum, fully explain, include SPSS)

Fill in this table, include the SPSS, and then explain and answer the other questions.

Mean
Range
Standard Deviation
Quiz 1

Quiz 2

Quiz 3

Quiz 4

Quiz 5

11. Looking at the relationship between each of the Five Quizzes and the Final Course Percent (variable name is “percent”): First, use (and include) SPSS to measure the relationship (correlation) between each Quiz and the Final Course Percent. Which of the five Quizzes has the weakest relationship (correlation) with the Final Course Percent, and how do you know? Which of the five Quizzes has the strongest relationship with the Final Course Percent, and how do you know?

Quiz 1
Quiz 2
Quiz 3
Quiz 4
Quiz 5

Final Course Percent

r-value?

r-value?

r-value?

r-value?

r-value?

12. Use SPSS to create the scatter plot for the Quiz and Final Course Percent that had the strongest relationship. Paste the graph here. What does this graph show or tell you? Is it linear? Is the slope positive (going upwards) or negative (going downwards)? Does it seem like doing well on the Quiz relates (or correlates) to doing well on the Final Course Points?

13. Will a low Quiz 1 score cause a student to get a low Final Course Percent? Why r why not – explain.

14. Which two variables are being investigated and label each variable as either dependent or independent.

15.  The Correlation Coefficient (or r-value) is used to measure the relationship between any two variables. In this case, what is the r-value?

16.  What does the r-value and the scatter plot tell you about the relationship between these two variables? Is the relationship positive or negative? Is it strong, medium, or weak?

17.  Suppose a student has a previous GPA of 3.12. Using the scatter plot, what is a good estimate of what their Total Points?

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