ccgps coordinate algebra day 44 (10-14-13)
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CCGPS Coordinate Algebra Day 44 (10-14-13). UNIT QUESTION: How can I represent, compare, and interpret sets of data? Standard: MCC9-12.S.ID.1-3, 5-9, SP.5 Today’s Question: How do I graphically represent data? Standard: MCC9-12.S.ID.1. Unit 4 Day 1 Vocabulary. Standards - PowerPoint PPT PresentationTRANSCRIPT
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CCGPS Coordinate AlgebraDay 44 (10-14-13)
UNIT QUESTION: How can I represent, compare, and interpret sets of data?Standard: MCC9-12.S.ID.1-3, 5-9, SP.5
Today’s Question:How do I graphically represent data?Standard: MCC9-12.S.ID.1
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Unit 4Unit 4Day 1 VocabularyDay 1 Vocabulary
Unit 4Unit 4Day 1 VocabularyDay 1 Vocabulary
Standards Standards MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-
12.S.1D.2 and MCC9-12.S.ID.312.S.1D.2 and MCC9-12.S.ID.3
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Box PlotA plot showing the minimum,
maximum, first quartile, median, and third quartile of a data set; the middle 50% of the data is indicated by a box.
Example:
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Pros and Cons
Advantages:•Shows 5-point summary and outliers •Easily compares two or more data sets •Handles extremely large data sets easily Disadvantages:•Not as visually appealing as other graphs •Exact values not retained
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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:
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Pros and Cons
Advantages:•Simple to make•Shows each individual data pointDisadvantages:•Can be time consuming with lots of data points to make•Have to count to get exact total. Fractions of units are hard to display.
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HistogramA frequency plot that shows the
number of times a response or range of responses occurred in a data set.
Example:
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Pros and Cons
Advantages:•Visually strong•Good for determining the shape of the dataDisadvantages:•Cannot read exact values because data is grouped into categories •More difficult to compare two data sets
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MeanThe average value of a data set,
found by summing all values and dividing by the number of data points
Example: 5 + 4 + 2 + 6 + 3 = 20
45
20
The Mean is 4
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MedianThe middle-most value of a data set;
50% of the data is less than this value, and 50% is greater than it
Example:
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First QuartileThe value that identifies the lower 25% of
the data; the median of the lower half of the data set; written as
Example:
1Q
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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:
3Q
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Interquartile RangeThe difference between the third
and first quartiles; 50% of the data is contained within this range
Example:
3Q 1QSubtract Third Quartile ( ) – First Quartile ( ) = IQR
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Outlier A data value that is much greater than or
much less than the rest of the data in a data set; mathematically, any data less than
or greater than is an outlier
Example:
)(5.11 IQRQ
)(5.13 IQRQ
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The 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 = 6
Q3 = 20
Interquartile Range: 20 – 6 = 14
Do the same for Harrison: 4, 5, 6, 8, 9, 11, 12, 15, 15, 16, 18, 19, 20
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The 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 = 6
Q3 = 20
Interquartile Range: 20 – 6 = 14
12 206