Descriptive Statistics
Directions: Place data in green cells to left and descriptive statistics in yellow cells will update.
Place data in green cells to right to find z-score
Data z-score
Mean ERROR:#DIV/0! x
Median ERROR:#NUM! Mean
Mode ERROR:#N/A StDev
Sample Variance ERROR:#DIV/0!
Sample Standard Deviation ERROR:#DIV/0! z-score = ERROR:#DIV/0!
Population Variance ERROR:#DIV/0!
Population Standard Deviation ERROR:#DIV/0!
Range 0.00000
Count (n) 0.00000
Min 0.00000
Max 0.00000
Freq Distribution
Directions: Type in labels and frequencies (you will need to count by hand) in the green table to left.
You can enter up to six classes and the frequency graph will automatically update
Class Labels Frequency
0 659
1 329
2 52
3 13
4 8
Histrogram of Data
Frequency 0 1 2 3 4 659 329 52 13 8
Scatter Plot
x y
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Scatter Plot of X and Y
y x
y
1
MATH221 Statistics for Decision Making
Week 2 La
Name:
Statistical Concepts that you will learn after completing this iLab:
· Using Excel for Statistics
· Graphics
· Descriptive Statistics
· Empirical Rule
Week 2 Lab Instructions-BEGIN
· Data have already been formatted and entered into an Excel worksheet.
· Obtain the data file for this lab from your instructor.
· Use the Week 1 spreadsheet (available from the top of the Week 1 Lesson) for graphs and calculations. You will need to copy data from the data file into the calculations spreadsheet to answer some questions.
· The names of each variable from the survey are in the first row of the Worksheet. This row has a background color of gray to identify it as the variable names. All other rows of the Worksheet represent a certain students’ answers to the survey questions. Therefore, the rows are called observations and the columns are called variables. On page 6 of this lab, you will find a code sheet that identifies the co
espondence between the variable names and the survey questions.
· Follow the directions below and then paste the graphs from Excel in the grey areas for question 1 through 3. You will be using the Week 1 Excel Sheet for many of the calculations. Type your answers to questions 4 through 11 where noted in the grey areas. When asked for explanations, please give thorough, multi-sentence or paragraph length explanations.
· The completed Lab Word Document with your responses to the 11 questions will be the ONE and only document submitted to the Week 2: Lab. When saving and submitting the document, you are required to use the following format: Last Name_ First Name_Week2Lab.
Week 2 Lab Instructions-END
Creating Graphs
1. Create a pie chart for the variable Car Color: Select the column with the Car variable, including the title of Car Color. Click on Insert, and then Recommended Charts. It should show a clustered column and click OK. Once the chart is shown, right click on the chart (main area) and select Change Chart Type. Select Pie and OK. Click on the pie slices, right click Add Data Labels, and select Add Data Callouts. Add an appropriate title. Copy and paste the chart here.
2. Create a scatter plot with the variables of Drive and Money. Copy the Drive variable from the data file and paste it into the x column in the Scatter Plot worksheet of the Week 1 Excel file. Copy the Money variable from the data file and paste it into the y column. Copy and paste the scatter plot below.
3. Create a histogram for the variable Drive. You need to create a frequency distribution for the data by hand. Use 5 classes, find the class width, and then create the classes. Once you have the classes, count how many data points fall within each class. It may be helpful to sort the data based on the Drive variable first. Once you have the classes and the frequency counts, put those data into the table in the Freq Distribution worksheet of the Week 1 Excel file. Copy and paste the graph here.
Calculating Descriptive Statistics
4. Calculate descriptive statistics for the variable Sleep by Gender. Sort the data by gender by clicking on Data and then Sort. Copy the Sleep of the males from the data file into the Descriptive Statistics worksheet of the Week 1 Excel file. Type the mean and standard deviation below. These are sample data. Then, copy and paste the female data into the Descriptive Statistics workbook and do the same. Keep three decimal places.
Mean
Standard deviation
Females
Males
Short Answer Writing Assignment
All answers should be complete sentences.
5. What is the most common color of car for students who participated in this survey? Explain how you a
ived at your answer.
6. What is seen in the scatter plot for the Drive and Money variables? Explain your answer.
7. What is seen in the histogram created for the driving distance of students in this class (include the shape)? Explain your answer.
8. Compare the mean hours of sleep for males and the mean for females in these data. Compare the values and explain what can be concluded based on the numbers.
9. Compare the standard deviation for the sleep of males and the standard deviation for the sleep of females in the class. Compare the values and explain what can be concluded based on the numbers.
10. Using the empirical rule, 95% of female sleep amounts should be between what two values? Either show work or explain how your answer was calculated.
11. Using the empirical rule, 68% of male sleep amounts should be between what two values? Either show work or explain how your answer was calculated.
Code Sheet
Do NOT answer these questions.
The Code Sheet just lists the variables name and the question used by the researchers on the survey instrument that produced the data that are included in the data file. This is just information. The first question for the lab is after the code sheet.
Variable Name
Question
Drive
Question 1 – How long does it take you to drive to the school on average (to the nearest minute)?
State
Question 2 – What state/country were you born?
Temp
Question 3 – What is the temperature outside right now?
Rank
Question 4 – Rank all of the courses you are cu
ently taking. The class you look most forward to taking will be ranked one, next two, and so on. What is the rank assigned to this class?
Height
Question 5 – What is your height to the nearest inch?
Shoe
Question 6 – What is your shoe size?
Sleep
Question 7 – How many hours did you sleep last night?
Gende
Question 8 – What is your gender?
Race
Question 9 – What is your race?
Ca
Question 10 – What color of car do you drive?
TV
Question 11 – How long (on average) do you spend a day watching TV?
Money
Question 12 – How much money do you have with you right now?
Coin
Question 13 – Flip a coin 10 times. How many times did you get tails?
Die1
Question 14 – Roll a six-sided die 10 times and record the results.
Die2
Die3
Die4
Die5
Die6
Die7
Die8
Die9
Die10
MATH221 Data Sheet
Drive (miles) State Shoe Size Height (inches) Sleep (hours) Gender Car Color TV (hours) Money Coin Die1 Die2 Die3 Die4 Die5 Die6 Die7 Die8 Die9 Die10
52 MI 10 61 7 M blue 3 42.00 7 3 2 6 5 1 1 2 3 6 4
71 FL 8 64 6 F blue 2 46.00 2 1 3 6 3 4 4 6 5 2 3
42 IL 8 65 8 F black 4 37.00 4 3 4 2 4 6 4 2 1 5 5
46 NY 9 65 7 F red 3 12.00 6 6 6 1 2 5 4 4 1 1 6
76 FL 9 65 8 F black 4 39.00 4 2 6 5 4 4 3 5 6 3 2
48 FL 5 67 5 F white 2 20.00 6 3 5 4 6 3 6 1 5 4 5
28 FL 7 67 4 F black 1 29.00 4 3 5 5 6 3 1 4 3 6 5
55 OH 6 67 8 F gold 4 31.00 1 6 3 3 4 2 3 3 5 6 6
33 SC 11 68 10 M gold 1 13.00 4 2 5 4 6 4 4 3 6 1 5
36 GA 10 68 10 F gold 4 28.00 4 6 2 6 3 6 2 4 5 4 5
40 IL 6 68 6 M gold 5 16.00 3 3 4 6 5 1 6 5 3 1 3
8 NY 6 69 7 F gold 5 21.00 5 1 1 4 1 3 3 6 4 4 4
25 GA 9 69 7 M gold 3 22.00 5 4 2 6 2 4 6 5 1 3 6
25 CA 8 69 10 F gold 5 34.00 2 5 4 4 1 6 3 3 1 5 5
63 NY 10 69 10 F red 2 42.00 3 5 4 3 6 2 3 1 5 2 3
94 CA 11 69 7 M silver 5 49.00 3 6 1 2 2 6 2 2 2 3 2
54 CA 7 70 7 M blue 3 15.00 5 2 3 2 6 6 6 3 3 3 1
54 FL 6 70 8 F green 2 39.00 6 1 4 6 2 2 6 4 3 3 3
44 FL 12 70 10 F green 4 15.00 3 6 1 2 4 6 4 6 3 3 6
80 CA 10 70 8 F black 2 52.00 3 5 1 3 5 4 6 2 2 1 6
49 PA 11 71 4 M silver 5 13.00 5 3 2 6 2 1 6 1 4 1 3
78 CA 9 71 9 M blue 2 47.00 2 2 4 6 5 6 1 6 4 1 1
30 TX 6 71 10 M red 3 18.00 6 3 6 2 4 4 4 2 3 5 4
51 FL 5 72 7 F black 3 13.00 5 3 5 4 5 4 2 3 6 1 5
25 TX 9 72 7 F green 5 14.00 6 6 2 6 6 4 6 6 6 3 4
50 TX 9 72 7 M silver 2 32.00 3 5 5 1 6 2 3 6 2 2 6
36 TX 7 72 5 M white 3 11.00 3 3 2 4 6 6 4 1 4 5 6
63 PA 10 72 10 F white 3 51.00 7 4 2 3 2 4 4 2 3 1 5
33 FL 10 72 7 M white 1 13.00 5 2 4 4 1 1 2 1 3 2 3
80 NV 6 72 10 M white 4 36.00 4 4 4 5 6 4 1 4 5 1 6
88 FL 6 72 5 F white 3 43.00 6 6 3 6 5 1 3 3 3 2 3
56 OR 9 73 10 M blue 5 23.00 5 4 6 2 6 1 4 1 1 6 1
73 FL 12 73 8 M black 6 31.00 6 5 2 6 4 6 4 1 1 1 3
94 KY 11 74 8 M red 3 55.00 6 6 5 2 5 3 4 4 3 3 2
17 OR 13 75 10 M silver 6 11.00 7 4 2 6 2 1 4 2 1 4 6