Displaying Distribution with Graphs Section 1.1

September 18, 2015 Objectives: 1.Describe what is meant by exploratory data analysis. 2.Explain what is meant by distribution of a variable. 3.Differentiate between categorical and quantitative variables. 4.Construct bar graphs and pie charts for a set of categorical data.

September 21, 2015 Objectives: 1.Use a stem plot and histogram to display quantitative data. 2.Identify the pros and cons of using each. 3.Analyze a distribution.

1.1 What’s in the garbage? Bar Graph and Pie chart on the N-spier.

September 24, 2015 Objectives: 1.Given a set of data, compute the mean and median as measures of center. 2.Explain what is meant by a resistant measure. 3.Identify situations in which mean/median is the most appropriate measure of center. 4.Given a data set find the 5-number summary and construct a box plot.

“Should we scare the opposition by announcing our mean height or trick them by announcing our median height?”

September 25, 2015 Objectives: 1.Identify situations in which the mean or median is the most appropriate measure of center. 2.Explain what it means for a measure of center to be resistant or not resistant. 3.Calculate the standard deviation of a given data set

First: Second: Find the mean and median of each of the two data sets. 2.Explain any differences or similarities between the two data sets.

The distribution of household incomes in the United States strongly skewed to the right. In 2012, the mean and median household incomes in America were $52,000 and $74,000. Which of these numbers is the mean and which is the median? Explain your reasoning.

September 28, 2015 Objectives: 1.Given a data set, compute the standard deviation and variance as a measure of spread. 2.Give a reason why we use squared deviation rather than just average deviation from the mean. 3.Identify situations in which the standard dev. Is most appropriate measure of spread and situations in which the IQR is the most appropriate.

September 29, 2015 Objective: 1.Linear Transformation: Understand what happens to the center and the spread of a data set when each data point is either changed by addition or multiplication or both.

Graph the data set: a)3, 4, 5, 5, 6, 7 ____________________ b)Add 2 to each ____________________ And graph. c)Multiply by 2 ____________________ And graph. What changes do you observe in steps b & c form the original data set.

“Normal” body temperature varies by time of day. A series of readings was taken of the body temperature of a subject. The mean reading was found to be 36.5°C with a standard deviation of 0.3°C. When converted to °F, the mean and standard deviation are (°F = °C(1.8) + 32): A 97.7, 32 B 97.7, 0.30 C 97.7, 0.54 D 97.7, 0.97 E 97.7, 1.80

There are three children in a room, ages three, four, and five. If a four-year-old child enters the room the mean age will stay the same but the variance will increase. mean age will stay the same but the variance will decrease. mean age and variance will stay the same. mean age and variance will increase. mean age and variance will decrease.

AP Statistics, Oct. 3 Objectives: 1.Students will use graphical techniques to compare two or more data sets. 2. Students will use the correct academic language to describe the distribution of a data set. HW. 1E Page Also read section 4.2 page292 for Monday.

Section 4.2: Relationships between Categorical Variables. 1. Explain what is meant by a two-way table. 2. Explain what is meant by marginal distributions in a two-way table. 3. Describe how changing counts to percent is helpful in describing relationships between categorical variables. 4. Explain what is meant by a conditional distribution.

Age GroupFemaleMaleTotal 15 to 17 years to 24 years to 34 years years and older Total

Age GroupFemaleMaleTotal 15 to 17 years to 24 years to 34 years years and older Total

Section 4.2: Relationships between Categorical Variables. 1. Explain what is meant by a two-way table. 2. Explain what is meant by marginal distributions in a two-way table. 3. Describe how changing counts to percent is helpful in describing relationships between categorical variables. 4. Explain what is meant by a conditional distribution.

Risks of playing soccer. EliteNon- Elite Did not play Total Arthritis10924 No Arthritis Total

Marital status and job grade. Job Grade SingleMarriedDivorcedWidowedTotal Total

Section 2.1 – Measure of Relative Standing Test Scores