Introduction To Statistics Math Models Unit 10

Statistics is the collecting, classifying, summarizing, analyzing, and presenting of data in various ways. All kinds of industries and people collect data. Data is the collection of numerical facts or information. We will explore different methods used to display these statistics and different methods used to describe the way these statistics are presented. There are two major kinds of data that we need to understand. Quantitative data and qualitative data.

Qualitative vs Quantitative Data Qualitative Data Overview: Deals with descriptions. Data can be observed but not measured. Colors, textures, smells, tastes, appearance, beauty, etc. Qualitative → Quality Quantitative Data Deals with numbers. Data which can be measured. Length, height, area, volume, weight, speed, time, temperature, humidity, sound levels, cost, members, ages, etc. Quantitative → Quantity

Example 1: Oil Painting Qualitative data: *red/green color, gold frame *smells old and musty *texture shows brush strokes of oil paint *peaceful scene of the country *masterful brush strokes Quantitative data: *picture is 10" by 14” with frame 14" by 18” * weighs 8.5 pounds surface area of painting is 140 sq. in. *cost $300

Example 2: Latte Qualitative data: *robust aroma *frothy appearance * strong taste *glass cup Quantitative data: *12 ounces of latte *serving temperature 1500 F. *serving cup 7 inches in height *cost $4.95

Example 3: Freshman Class Qualitative data: *friendly demeanors *civic minded *environmentalists *positive school spirit Quantitative data: *672 students *394 girls, 278 boys *68% on honor roll *150 students accelerated in mathematics

Make one qualitative observation about the picture above. Explain why this is a qualitative observation. Make one quantitative observation about the picture above. Explain why this is a quantitative observation.

Make one qualitative observation about the picture above. Explain why this is a qualitative observation. Make one quantitative observation about the picture above. Explain why this is a quantitative observation.

This section will allow us to explore all kinds of data from different sources and to be able to analyze it the way it was presented and come up with our own conclusions.  Big businesses are major collectors of data for their sales and costs.  Many sports teams rely on data collected to know which players to sign to contracts.  There are many sources who use statistics to analyze information. You will encounter at least one in your lifetime.