1. MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3
Unit 6 Day 1 Vocabulary
Standards
MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

2. 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:

3. 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

4. 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:

5. 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.

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

7. 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

8. Mean
The average value of a data set, found by summing all values and dividing by the number of data points
Example:
= 20
The Mean is 4

9. 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:

10. 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:

11. 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:

12. 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

13. 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:

14. Is there an outlier in this data set?
Example
Is there an outlier in this data set?
{5, 7, 3, 4, 6, 5, 17, 2, 4}

15. Example Is there an outlier in this data set?
{2, 13, 14, 14, 16, 17, 18, 20}

16. Interquartile Range: 20 – 6 = 14
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

17. Interquartile Range: 20 – 6 = 14
Box and Whisker Plot
The numbers below represent the number of homeruns hit by players of the McEachern 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

18. 5 Number Summary Minimum - beginning of whisker
Lower Quartile (Q1) - left side of box
Median - middle of box
Upper Quartile (Q3) - right side of box
Maximum - end of whisker
These values describe the spread of the data and divide the data into 4 EQUAL PARTS. Together, we use these values to draw a box and whisker plot.

19. Example
Draw a box-and-whisker plot on a number line. 2, 4, 4, 5, 6, 8, 8, 8, 9, 10, 11, 11, 12, 15, 17

20. Example
Draw a box-and-whisker plot on a number line.
3, 7, 2, 5, 6, 7, 8, 10, 9, 3

21. Dot Plots
Fill in a frequency table and place vertical dots at each value for the number of data points with that value.
Example: Create a dot plot for the following numbers.
{2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 8, 10}

22. Histograms & Frequency Tables
Must create groups (bins) that are same size.
Bins cannot overlap.
Ideal is to have 5-10 bins.
Bars on histogram must touch.

23. Example Create a frequency table and histogram for the following data.
{2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 8, 10}