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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

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ccgps coordinate algebra day 44 10 14 13
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

unit 4 day 1 vocabulary

Unit 4Day 1 Vocabulary

Standards

MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

box plot
Box Plot

A 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:

pros and cons
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
dot plot
Dot Plot

A 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 cons1
Pros and Cons

Advantages:

  • Simple to make
  • Shows each individual data point

Disadvantages:

  • 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.
histogram
Histogram

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

Example:

pros and cons2
Pros and Cons

Advantages:

  • Visually strong
  • Good for determining the shape of the data

Disadvantages:

  • Cannot read exact values because data is grouped into categories
  • More difficult to compare two data sets
slide9
Mean

The 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

The Mean is 4

median
Median

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

Example:

first quartile
First Quartile

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

Example:

third quartile
Third Quartile

Value 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 range
Interquartile Range

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

Example:

Subtract

Third Quartile ( ) – First Quartile ( ) = IQR

outlier
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:

slide15

Interquartile Range

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

slide16

Box and Whisker Plot

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

6

12

20