MATHEMATICS
Project 1
A study was done to explore the number of chocolate bars consumed by 16-year-old girls in a month’s time. The results are shown below.
| Number of Chocolate Bars Consumed |
| 56 |
| 46 |
| 12 |
| 62 |
| 39 |
| 24 |
| 59 |
| 51 |
| 39 |
| 52 |
| 28 |
| 41 |
| 10 |
| 64 |
| 27 |
| 0 |
| 34 |
| 5 |
| 55 |
| 32 |
| 42 |
| 24 |
| 14 |
| 63 |
| 1 |
| 63 |
| 52 |
| 58 |
| 52 |
| 26 |
Use the data from the chocolate bar study to answer the following questions. Use SPSS for all calculations. Copy and paste the SPSS output into the word document, highlighting the correct answer. Additionally, type the correct answer into your word document next to the corresponding question.
1. Identify the level of measurement used in this study.
2. Using SPSS, run descriptive statistics on the data:
a. Find the mean, median, and mode of the number of chocolate bars consumed by 16-year-old girls in a month.
b. Find the variance and standard deviation of the number of chocolate bars consumed by 16-year-old girls in a month.
3. Create a frequency distribution table with six intervals/classes.
4. Create a histogram based on the Frequency table in problem 3.
(This what they gave us to HELP us ouT and what we should do)
Introduction to Probability and Statistics
Project 1 Example
See video at: https://www.youtube.com/watch?v=H6lS4nxn5vU&list=PL75HZtVMt_7dbPwDyim5iOoxTZFinldZ6
A study was done to explore the heights of 12-year-old students. The results are shown below.
Use the data from the height study to answer the following questions. Use SPSS for all calculations. Copy and paste the SPSS output into the word document (screen clipping tool) as well as typing the appropriate symbol with the answer.
1. Identify the level of measurement used in this study. (5)
Don’t forget to do this problem. See https://image.slidesharecdn.com/1-1to1-3-110522101118-phpapp02/95/11-to-13-8-728.jpg?cb=1306059611
2. Create a frequency table with six classes. (40 points)
Class width: Hi – low = 62 – 30 = 32 32/6 = 5.33 Round up to 6 Class width = 6
SPSS:
1. Transform>Visual Binning
2. Move variable over. Click continue.
3. Insert a name for the Binned Variable.
4. Click Excluded radio button under Upper Endpoints. Click make Cutpoints. Set first cutpoint location = low + width. Set Width. Click in the box for number of cutpoints. It should show a 5. Click Apply.
***Hint: For your project, your low should be 0 and class width should be 11. Your first cutpoint should also be 11.***
5. Click Make Labels. Adjust label for first and last class by adding a start and end value.
6. Click OK. SPSS gives dialog box saying it created a new variable. Click OK. Click back to data window.
7. Click Analyze>Descriptive Statistics>Frequencies.
8. Move binned variable to right.
9. Click Charts. Check button for histogram. Click Continue. Click OK.
Be sure to paste your frequency table in from SPSS.
3. Create a histogram based on the Frequency table in problem 2. (10 points)
Be sure to paste your histogram from SPSS.
4. Find the mean, median, and mode of the number of chocolate bars consumed by 16-year-old girls in a month. (35 points)
SPSS steps:
1. Click Analyze>Descriptive Statistics>Frequencies.
2. Move regular variable to right.
3. Click Statistics. Check boxes for Mean, Median, Mode, Std. Deviation, and Variance. Click Continue. Click OK.
M = 47.05, Median = 47.00, Mode = 45
Be sure to paste your summary stats table from SPSS.
5. Find the variance and standard deviation of the heights. (5 pts)
s2 = 64.497, s = 8.031
Be sure to use M for mean and s and s2 for standard deviation and variance.
1. Identify the level of measurement used in this study. (5 points)
2. Create a frequency table with six classes (SPSS). (40 points)
3. Create a histogram based on the Frequency table in problem 2 (SPSS). (10 points)
4. Find the mean, median, and mode of the number of chocolate bars consumed by 16-year-old girls in a month. (20 points for SPSS output, 5 points to write answers with correct notation)
5. Find the variance and standard deviation of the number of chocolate bars consumed by 16-year-old girls in a month. (5 points to write answers with correct notation)