# Project #77413 - Statistics

(For questions 1 – 5): There are many variables in Stat_Grades.sav that can be used to describe the students in the dataset. Use the variable Section and answer the following questions:

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

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

3. Use SPCC to output the mean, medium, and mode for the Section. Include the SPCC here. Which of the three descriptive numerical measures of central tendency (mean, medium, or mode) BEST describe the variable Section? What information does the measure tell you about the students in the dataset (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 Section? Explain.

5. Choose the most appropriate graph to represent the variable Section. (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 dataset? Explain.

(For questions 6 – 9): There are many variables in Stat_Grades.sav that can be used to describe the students in the dataset. Use the variable Percent (Final Course Percent) and answer the following questions:

6. What type of data and level of measurement does the Percent 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 Percent. Include the SPSS here. Which of the three descriptive numerical measures of central tendency (mean, median, or mode) BEST describes the variable Percent? 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 Percent? 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 dataset (Stat_Grades.sav)?

9. Choose the most appropriate graph to represent the variable Percent. 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, mode, 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 Mode Standard Deviation Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5

11. Looking at the relationship between each of the Five Quizzes: First, use (and include) SPSS to measure the relationship (correlation) between each Quiz. Which two of the five Quizzes has the strongest relationship (correlation) with each other, and how do you know? Which two of the five Quizzes has the weakest relationship with each other, and how do you know?

12. Use SPSS to create the scatterplot for the two Quizzes that had the strongest relationship with each other. 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 one of the two Quizzes here relates (or correlates) to doing well on the other Quiz?

13. Will a low Quiz 1 grade cause a student to get a low Quiz 5 grade? Why or why not and explain? ( 50 word minimum)

(For Questions 14-17 use the SPSS output below to determine the answers).

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 scatterplot 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 scored a 7 on the Quiz 5. Using the scatterplot, what is a good estimate of what their Final Course Percent?

 Subject Mathematics Due By (Pacific Time) 07/27/2015 12:00 pm
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