6-6
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Transcript of 6-6
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6-6 Classifying Data
Objective
• Classify data as either categorical or quantitative
• Understand the difference between discrete and continuous
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1. The data set gives the times of Tara’s one-way ride to school (in minutes) for one week. Find the mean, median, mode, and range of the data set.
Lesson Quiz: 6-5 Answers
{8, 3, 5, 4, 5}mean: 5; median: 5; mode: 5; range: 5
2. Which value describes the time that occurred most often? mode, 13
3. Which value best describes Tara’s ride time? Explain.
Mean, 13; It’s the average time
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Categorical vs Quantitative DataCategorical Data
• Deals with descriptions.
• Data can be observed but not measured.
•Colors, textures, smells, tastes, appearance, beauty, etc.
• Categorical → Description
Quantitative Data• Deals with numbers.
•Data which can be measured.
• Length, height, area, volume, weight, speed, time, cost, age, etc.
• Quantitative → Quantity
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Categorical 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 1: Oil Painting
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Categorical 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 2: :Latte
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Categorical 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
Example 3: Freshman Class
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Make one categorical 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.
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Make one categorical 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.
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Discrete DataOnly certain values are possible
(there are gaps between the possible values)
0 1 2 3 4 5 6 7
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Examples: Discrete Data Number of children in a family Number of students passing a stats
exam Number of crimes reported to the
police Number of bicycles sold in a day.Discrete data
We would not find:• 2.2 children in a family• 88.5 students passing an exam• 127.2 crimes being reported• half a bicycle being sold in one day
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Continuous DataTheoretically, with a fine enough
measuring device.(no gaps between possible values)
0 1000
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Examples: Continuous data
Size of bicycle frame Height Time Age Temperature
Any value within an interval is possible with a fine enough measuring device
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Discrete Data Temp. vs Chirps
65707580859095
100105110115120125
9 10 11 12 13 14
Temp
Chi
rps
Points are NOT connected
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Continuous DataTime vs Distance
0
5
10
15
20
25
30
0 2 4 6 8
Time (sec)
Dist
ance
(m)
Points ARE connected
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Classwork/Homework
6-6 Worksheet