ENTRY POINT STATEMENT NUMERICALLY NOT NUMERICALLY Favorite subject of Grade 7 students Height of basketball players Distance travelled by a cyclist Number of cellphone sold Colors of flags displayed
STATISTICS STATISTICS is a branch of mathematics that deals with the collection, organization, presentation, analysis, and interpretation of data.
What does statistics do? Collecting data: gathering information in the forms of numbers. A nalyzing data: Examining the data to find patterns and relationship. Interpreting data: Drawing conclusion from the data. Presenting Data: communicating the findings in a clear way.
Descriptive and Inferential Descriptive Statistics includes the collection, presentation and description of data. Inferential Statistics involves techniques interpreting the values resulting from the descriptive and using them to make decision and draw conclusio n about the properties.
Collection of Data Population is a complete collection of all elements (e.g., scores, people, …) to be studied. Census is a collection of data from every element in a population. Sample is a sub-collection of elements drawn from a population.
Population or Sample? All registered voters Selected grade 7 students Diabetic patient in the Philippines All government officials in the Philippines Students of AIESC A telephone survey of 500 shampoo users
Data Set a data set consist of the observation of variables for the elements of the sample. It can be quantitative or qualitative.
Quantitative Qualitative Quantitative Data consist of numbers representing counts or measurement
Quantitative Data Discrete are quantitative data that are countable. Continuous are data that are measurable.
Discrete or Continuous Ages of students Weight of newborn Brand of aircon
Qualitative Qualitative Qualitative Data can be separated into different categories that are distinguished by some nonnumerical characteristics.
Level of Measurements Nominal- characterized by data that consist of names, labels, or categories only. Ordinal- data that may be arranged in some orders, but differences between values either cannot determined or meaningless. Interval- measures variable in equal intervals Ratio- tell about the order and numbers of objects between the values of the scale.
Level of Measurements Nicotine content of cigarrete Zip code Final grade(A, B, C, D, E) for math Years in high school Cars sold in a month Temperature in Allacapan Grades in English Gender of students Room number of hotel occupants Religion of grade 7 students