Summary Statistics and Mean Absolute Deviation MM1D3a. Compare summary statistics (mean, median,...

Summary StatisticsSummary Statisticsandand

Mean Absolute DeviationMean Absolute Deviation

MM1D3a. Compare summary statistics (mean, median, quartiles, and interquartile range) from one sample data distribution to another sample data distribution in describing center

and variability of the data distributions.b. Compare the averages of the summary statistics from a large number of samples to the

corresponding population parameters.MM1D4. Students will explore variability of data by determining the mean absolute deviation

(the average of the absolute values of the deviations).

Vocab: Measures of Central Vocab: Measures of Central TendencyTendency

Mean: aka: average; denoted by the symbol x, which is read x-bar.

Median: the middle number when values are written in numerical order.

Mode: the value that occurs most frequentlyMeasure of dispersion: describes the spread

of dataRange: the difference between the greatest

value and least value of a numerical set of numbers

Deviation from the mean: the difference of a data value and the mean of a data set

Mean absolute deviation: the average deviation of the data from the mean.

Mean absolute deviation:

the average deviation of the data from the mean.

The mean absolute deviation of the data x1, x2, ……. xn is given by:

So, to find the mean absolute deviation, you first have to find the ________!!

Example 1Example 1

Example 2Example 2

Example 3Example 3

Use the data:

Example 4Example 4

Example 5Example 5

HomeworkHomework

Pg 365: 2 – 16 even

Write problems and show work for credit!

Sample StatisticsSample Statistics

Median: Separates the data into ___ equal partsQuartiles: Separate the data into ____ equal partsUpper Quartile: The median of the upper half of

the dataLower Quartile: The median of the lower half of

the dataRange: The difference between the highest and

lowest values in a data setInterquartile Range: The difference between the

upper quartile and the lower quartile.

Read this Plot!Read this Plot!

List the Following:

Median:

Range:

Quartile 1:

Quartile 2:

Quartile 3:

Interquartile Range:

Example 1Example 1

CompareCompare

Mean

Median

Range

Upper Quartile

Lower Quartile

IQR

Example 2Example 2

Example 3Example 3