1. A.P. Statistics: Semester 1 Review
January 2015

2. Exam Breakdown
Part 1 – Displaying and summarizing categorical and quantitative data
Part 2 – Association, correlation, and data re- expression
Part 3 – Samples, surveys, experiments, and observations
Part 4 – Probability

3. Part 1: Chapters 1-6
Ch. 1 – 3: Displaying and describing categorical data
Some vocabulary:
Categorical data, quantitative data, (relative) frequency table, (relative frequency) bar chart, pie chart, contingency table, marginal distribution, conditional distribution, segmented bar chart

4. Examples
A teacher surveyed his 88 students to see what their post-high school plans were. The results are in the contingency table below:
Male
Female
Total
Four-Year 22 18 40
Community 25 14 39
Workforce 4 5 9 51 37 88
What is the marginal distribution for post-high school plans?
What is the marginal distribution for gender?
What percentage of males are going to a four-year college?
What percentage of students going into the workforce are females?

5. Part 1: Chapters 1-6
Ch. 4 – 5: Displaying and describing quantitative data
Some vocabulary:
Histogram, gap, stem-and-leaf display, dotplot, shape-center-spread, unimodal/bimodal, uniform, symmetric, skewed, (far) outliers, median, range, IQR, mean, 5-number summary, boxplot

6. Examples
Draw a stem-and-leaf plot for the following data set: What is an advantage of making a stem-and-leaf display?

7. Examples
Draw a boxplot for the following data set (include the imaginary fences and identify any outliers)

8. Examples
During finals week at a local college, 48 students studied for a total of 14 hours and 67 students studied for a total of 22 hours for their psychology exam. Overall, what was the mean number of hours spent studying of all the students in this psychology class?

9. Part 1: Chapters 1-6 Ch. 6: Normal Distribution Some vocabulary:
Standardizing, z-score, shifting, rescaling, standard deviation, normal model, parameter, statistic, Rule
Calculator skills to know:
Normalcdf – when you are trying to find percentages
Invnorm – when you are trying to find cut-off points (you are given the percentages)

10. Examples
Sarah and Emma are in AP Calculus at the same school but have the class with different teachers. Sarah scored an 84% on her final exam and her class’ average was a 73% with a standard deviation of 8%. Emma scored a 92% on her final exam and her class’ average was an 81% with a standard deviation of 14%. Assuming the scores on each exam were approximately normally distributed, who did relatively better on the final exam?

11. Examples
Suppose that the distribution of a set of scores has a mean of 33 and a standard deviation of 7.
If 5 is added to each score, what will be the mean and standard deviation of the new scores?
If each scores is multiplied by 3, what will be the mean and standard deviation of the new scores?

12. Examples
The average monthly rent for an apartment at the U of I is $ with a standard deviation of $ Assume the apartment prices are normally distributed.
Clearly draw and label the normal model

13. Examples
The average monthly rent for an apartment at the U of I is $ with a standard deviation of $ Assume the apartment prices are normally distributed.
What percentage of apartments cost more than $500.00?

14. Examples
The average monthly rent for an apartment at the U of I is $ with a standard deviation of $ Assume the apartment prices are normally distributed.
What percentage of apartments cost between $ and $480.00?

15. Examples
The average monthly rent for an apartment at the U of I is $ with a standard deviation of $ Assume the apartment prices are normally distributed.
The cities of Champaign-Urbana want a $400 monthly rent to be the lower 10% of rent prices. Assume the mean rent price will stay the same, what standard deviation must they achieve?