Statistics Section 1.1 Apply the vocabulary of statistical measurement What is statistics? https://www.youtube.com/watch?v=yxXsPc0bphQ Statistics is the study of how to collect, organize, analyze, and interpret numerical information from data. Statistics vocabulary Individuals are the people or objects in the study. A variable is a characteristic of an individual to be measured or observed. .

A quantitative variable has a value or numerical measurement for which operations such as addition or averaging make sense. A qualitative variable describes an individual by placing the individual into a category or group, such as male or female. A survey of 20 SES students asked how many hours of TV they watch each week. What is the variable? Is the variable quantitative or qualitative? A survey of 20 SES students reveals lunch is their favorite meal. What is the variable? Is the variable quantitative or qualitative?

In population data, the data are from every individual of interest In population data, the data are from every individual of interest. In sample data, the data are from only some of the individuals of interest. A population parameter is a numerical measure that describes an aspect of a population. A sample statistic is a numerical measure that describes an aspect of a sample. All the students in a school are asked for their GPA. Is this information population data or sample data? Is their GPA a population parameter or a sample statistic?

Ten out of 240 students in a school were asked if their GPA are good, acceptable, or unacceptable. a. Is this information population data or sample data? b. Is their GPA a population parameter or a sample statistic? c. What is the type of variable? Guided exercise 1 Page 6

Another way to categorize data is according to its level of measurement. The nominal level (name) of measurement applies to data that consists of names, labels or categories. No comparison to size can be made. example: The types of Greek columns are Doric, Ionic, and Corinthian. The ordinal level (order) of measurement applies to data that can be arranged in order. However, differences between the data values cannot either be determined or are meaningless. example: In GPA rankings, Bob was 1st, Jackie was 4th, and Mike was 7th.

Example: The weight of three fish are 2.3, 5.4, and 6.7 lbs. The interval level of measurement applies to data that can be arranged in order and differences between the data values are meaningful. Example: The temperatures of various rocks left in the sunlight are 10, 12, 20, and 24 degrees. Note: there is no zero level for temperature of a rock. The ratio level of measurement applies to data that can be arranged in order, differences between data values and ratios of data values are meaningful. They have a true zero value. Example: The weight of three fish are 2.3, 5.4, and 6.7 lbs.

Guided exercise2 page 8

Descriptive statistics involves methods of organizing, picturing, and summarizing information from samples or populations. (mean, median, mode, etc..) Inferential statistics involves methods of using information from a sample to draw conclusions regarding the population. (taking a survey) Determine the type of statistic used in the following: You ask 150 people out of 1000 people in a town “What is your age?”. You deduce the average age. You ask all the people in a town “What is your age?’. You compute the average age.

assignment Page 10 Problems 1-8, 11,12,14