Unit 4: Data & Statistics. Statistics…Statistics… What are they? What do you think of when you hear the word? Where are they used?

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Unit 4 Part 1 Vocabulary

Unit 4: Data & Statistics

StatisticsWhat are they?What do you think of when you hear the word?Where are they used?CCGPS Coordinate Algebra SupportUNIT QUESTION: How can I represent, compare, and interpret sets of data?Standard: MCC9-12.S.ID.1-3, 5-9, SP.5Todays Question:How do I graphically represent data?Standard: MCC9-12.S.ID.1

Dot PlotA frequency plot that shows the number of times a response occurred in a data set, where each data value is represented by a dot.

Example:

Pros and ConsAdvantages:Simple to makeShows each individual data pointDisadvantages:Can be time consuming with lots of data points to makeHave to count to get exact totalFractions of units are hard to display

HistogramA frequency plot that shows the number of times a response or range of responses occurred in a data set.

Example:

Pros and ConsAdvantages:Visually strongGood for determining the shape of the dataDisadvantages:Cannot read exact values because data is grouped into categories More difficult to compare two data sets MeanThe average value of a data set, found by adding all values and dividing by the number of data points

Example: 5 + 4 + 2 + 6 + 3 = 20

The Mean is 4 MedianThe middle-most value of a data set; 50% of the data is less than this value, and 50% is greater than it

Example:

First QuartileThe value that identifies the lower 25% of the data; the median of the lower half of the data set; written as

Example:

Third QuartileValue that identifies the upper 25% of the data; the median of the upper half of the data set; 75% of all data is less than this value; written as

Example:

Interquartile RangeThe difference between the third and first quartiles; 50% of the data is contained within this range

Example:

Subtract Third Quartile ( ) First Quartile ( ) = IQRInterquartile RangeThe numbers below represent the number of homeruns hit by players of the Hillgrove baseball team.

2, 3, 5, 7, 8, 10, 14, 18, 19, 21, 25, 28

Q1 = 6Q3 = 20Interquartile Range: 20 6 = 14Outlier A data value that is much greater than or much less than the rest of the data in a data set.

Example:

Histogram/Box PlotDot Plot