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SECTION 1-3

Types of Data

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Parameter vs. Statistic

Parameter: Describes population

Statistic: Describes sample

Determine which is statement is a statistic and which is a parameter It is known that 10% of the players on the Chicago

Cubs have earned a college degree. 4% of 100 MLB players surveyed say that they

have earned a college degree.

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Quantitative vs. Categorical

Quantitative: Numbers that represent count or measure

Categorical: Names or labels with no measure or count

Determine if the statement represents categorical or quantitative data Derrick Rose’s jersey number which is #1 Derrick Rose’s 21.0 points per game Derrick Rose’s team the Chicago Bulls

Quantitative vs. Categorical

A note on quantitative data Units are crucial!

Thousands of dollars, kilograms, hundredths of a second

Mars Rover accident! Used American instead of metric units

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousNominal, Ordinal, Interval, and Ratio

Measurement

Discrete vs. Continuous

Discrete: The data is countable (0, 1, 2, 3, 4,…) always COUNTED

Continuous: The data can be any value on an infinite scale of continuous numbers (1, 20, 1.675834, 3.14, etc.) usually MEASURED

Determine whether the data is continuous or discrete The amount of milk in a glass (measured in ounces) The number of bottles of milk in a shipment The height of an Olympic athlete

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousLevels of Measurement

Types of Data

Parameter vs. StatisticQuantitative vs. CategoricalDiscrete vs. ContinuousLevels of Measurement

Levels of Measurement

Type Meaning

Ratio There is a natural zero starting point and ratios are meaningful

Interval Differences are meaningful, but there is no natural zero starting point and ratios are meanings

Ordinal Categories are ordered, but differences can’t be found or are meaningless

Nominal Categories only. Data cannot be arranged in an ordering scheme

SECTION 1 .3

STOPLIGHT

Stoplight – Round 1

A study of all 2223 passengers aboard the Titanic found that 706

survived when it sank.

Statistic

Unsure Parameter

Stoplight – Round 2

In New York City, there are 3250 walk buttons that pedestrians can press at traffic intersections. It was found that

77% of those buttons do not work.

Statistic

Unsure Parameter

Stoplight – Round 3

You randomly spot a group of ten girls in the hallway and 6 of them have brown

hair.

Statistic

Unsure Parameter

Stoplight – Round 4

The amount of sugar in a coke can is 39.5 grams.

Discrete

Unsure Continuous

Stoplight – Round 5

The volume of cola in a can of regular Coke is 12 oz.

Discrete

Unsure Continuous

Stoplight – Round 6

In a test of a method of gender selection developed by the Genetic and IVF

Institute, 726 couples used the XSORT method and 668 of them had baby girls.

Discrete

Unsure Continuous

Stoplight – Round 7

The weights of OHS students.

Quantitative

Unsure Categorical

Stoplight – Round 8

The names of OHS students.

Quantitative

Unsure Categorical

Stoplight – Round 9

Critic ratings of movies on a scale from 0 star to 4 stars.

Nominal

Ordinal Interval

Ratio

Stoplight – Round 10

Actual temperatures (in degrees Fahrenheit).

Nominal

Ordinal Interval

Ratio

Stoplight – Round 11

Companies (Disney, MGM, Warner Brothers, Universal, 20th Century Fox)

that produce movies.

Nominal

Ordinal Interval

Ratio

Homework

p.16-17: #5-6, 13-14, 27-28

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