1. Introduction To Statistics
Math Models Unit 10

2. 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.

3. 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

4. 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

5. 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

6. 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

7. 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.

8. 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.

9. 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.