Math 224 – Elementary Statistics
Activity #2 (15 points)
Name:______
Statistical Concepts:
· Graphics
· Shapes of Distributions
· Descriptive Statistics
· Empirical Rule
When entering data into a statistical software package we must identify variable names. This was done using the following code sheet. On any output the variable name is what will appear.
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 your best guess of the temperature outside right now?
Rank / Question 4 – Rank all of the courses you are currently 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?
Gender / Question 8 – What is your gender?
Race / Question 9 – What is your race?
Car / Question 10 – What color of car do you drive?
Money / Question 11 – How much money do you have with you right now?
Heart / Question 12 – Take your heart rate for 60 seconds and record it here.
Graphs
The following graphs were created and are attached to this activity.
Ø Pie chart for car color
Ø Bar chart for race
Ø Histogram for height
Ø Stem-and-Leaf plot for money
Descriptive Statistics
For the following descriptive statistics were calculated.
Ø Height by the gender variable
Answer each of the following questions.
1. What is the most common color of car for students who participated in this survey?
2. How diverse is our class in terms of race (how many different races of students are there in this class)?
3. What is seen in terms of the shape of the histogram created for the heights of students in this class? Explain.
4. What is the shape of the stem-and-leaf plot for the money variable? Explain.
5. Are there any extreme values included in the money variable? Explain.
6. Compare the mean height of males and the mean height for females in the class. What can be concluded for the class?
7. Using the mean and median identify the shape for male heights and female heights. Explain.
8. Compare the standard deviation for heights of males to the standard deviation for heights of females and explain what can be concluded based on the numbers.
9. Would you prefer to look at heights for everyone together or would you prefer to separate males and females before looking at height. Explain.
10. Use the empirical rule to crate a 68% interval for height.