# Quantitative Reasoning

Part A Statistical Tables and Graphs

Frequency Table for Exam Scores

Scores Frequency Relative Cumulative

Frequency Frequency

95-99 2 6.7% 2

90-94 2 6.7% 4

85-89 6 20.0% 10

80-84 4 13.3% 14

75-79 6 20.0% 20

70-74 1 3.3% 21

65-69 4 13.3% 25

60-64 0 0.0% 25

55-59 2 6.7% 27

50-54 1 3.3% 28

45-49 1 3.3% 29

40-44 0 0.0% 29

35-39 1 3.3% 30

Total 30 100% 30

"Frequency Bar Chart for Exam Scores

"Relative Frequency Bar Chart for Exam Scores"

4. The data for Part A has been displayed in four ways:

a) Raw Data for Exam Scores

b) Frequency Table for Exam Scores

c) Frequency Bar Chart for Exam Scores

d) Relative Frequency Bar Chart for Exam Scores

1. Provide an in-depth rationale of which data display that you personally find the most compelling and which the least compelling.

Part B Car Fuel Consumption, Weight and Displacement

Now post your answers to the following questions from your Answer Form document in Part B, #1 - #4.

1. Is there positive or negative correlation between Highway Fuel Consumption and Weight? Briefly explain.

2. Make some observations from the chart

3. Interpret .

4. What is the best predicted fuel consumption rate, to the nearest tenth, for a car that weighs 3000 lb? Hint: Substitute 3000 for y in the trendline equation and solve for x. You must show your work.

Now post your answers to the following questions in your Answer Form document in Part B, #5 - #8.

5. Is there positive or negative correlation between Highway Fuel Consumption and Engine Displacement? Briefly explain.

6. Make some observations from the chart (See the examples above)

7. Interpret . (2 points) [Do not use R in your interpretation.]

8. What is the best predicted fuel consumption rate, to the nearest tenth, for a car with an engine displacement of 4.0 liters? Hint: Substitute 4 for y in the trendline equation and solve for x. You must show your work.

9. Based on your work above, which factor is more relevant to predict the fuel consumption rate: the car's weight or its engine displacement? Why? Use the values for in your discussion. Do not use R in this discussion.

10. Based on your work above, which prediction for the fuel consumption rate is better: the result from 5) or the result from 10)? Why? Use the values for R in your discussion. Do not use in this discussion.

https://brainmass.com/statistics/frequency-distribution/quantitative-reasoning-181287

#### Solution Preview

Part A Statistical Tables and Graphs

Frequency Table for Exam Scores

Scores Frequency Relative Cumulative

Frequency Frequency

95-99 2 6.7% 2

90-94 2 6.7% 4

85-89 6 20.0% 10

80-84 4 13.3% 14

75-79 6 20.0% 20

70-74 1 3.3% 21

65-69 4 13.3% 25

60-64 0 0.0% 25

55-59 2 6.7% 27

50-54 1 3.3% 28

45-49 1 3.3% 29

40-44 0 0.0% 29

35-39 1 3.3% 30

Total 30 100% 30

"Frequency Bar Chart for Exam Scores

"Relative Frequency Bar Chart for Exam Scores"

4. The data for Part A has been displayed in four ways:

a) Raw Data for Exam Scores

b) Frequency Table for Exam Scores

c) Frequency Bar Chart for Exam Scores

d) Relative Frequency Bar Chart for Exam Scores

1. Provide an in-depth rationale of which data display that you personally find the most compelling and which the least compelling.

The raw data for exam scores is the least compelling, as it simply shows the list of data items without any statistical interpretation or figurative display. Raw data is simply raw data - no deductions or conclusions can be extracted from it unless ...

#### Solution Summary

The solution answers the question(s) below.