6-6 Classifying Data

Objective

• Classify data as either categorical or quantitative

• Understand the difference between discrete and continuous

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

Categorical vs Quantitative Data

Categorical 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

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

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

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

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.

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.

Discrete DataOnly certain values are possible

(there are gaps between the possible values)

0 1 2 3 4 5 6 7

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

Continuous DataTheoretically, with a fine enough

measuring device.(no gaps between possible values)

0 1000

Examples: Continuous data

Size of bicycle frame Height Time Age Temperature

Any value within an interval is possible with a fine enough measuring device

Discrete Data Temp. vs Chirps

65707580859095

100105110115120125

9 10 11 12 13 14

Temp

Ch

irp

s

Points are NOT connected

Continuous DataTime vs Distance

0

5

10

15

20

25

30

0 2 4 6 8

Time (sec)

Dis

tan

ce (

m)

Points ARE connected

Classwork/Homework

6-6 Worksheet