EOC Review Question of the Day

How do I graphically represent data? GSE Algebra I 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

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

Measures of Center Includes Mean Median

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 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 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 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:

Mode The value in the data set that appears most often. Example: 5, 4, 2, 6, 3, 6 The mode is 6.

Measures of Spread Includes Range Interquartile Range (IQR) Mean Absolute Deviation - MAD

Range The difference between the greatest and least values in a set of data. Example: 5, 4, 2, 6, 3, 6 6-2=4 The range is 4.

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

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

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:

Mean Absolute Deviation (MAD) The average of the positive deviations of the data from the mean. How to find: Calculate the mean Find the distance from the mean for each piece of data (must be positive!) Take the average of the positive deviations.

Mean Absolute Deviation (MAD) The average of the positive deviations of the data from the mean. How to find: Find the Mean Calculate the absolute value of the difference between each data value and the mean Determine the average of the differences in step 2. This average is the mean absolute deviation