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. . . PENNIES for the AGES . . . Without looking, dig into the collection and grab FOUR PENNIES. Note the dates, return the pennies, and re-mix the collection. Calculate the AVERAGE AGE of your four pennies, based on the mint dates. For example, if the penny dates are 1994, 1968, 2006, and 1999, the average (mean) age is: (10+46+8+15)/(4) = 79/4 = 19.75 ≈ 20 years. Note the horizontal and vertical scales on the grid here and then record that (rounded) average age using a properly scaled X. Tuesday, February 3, 2014 MAT 312

Tuesday, February 3, 2014MAT 312. Tuesday, February 3, 2014MAT 312

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Page 1: Tuesday, February 3, 2014MAT 312. Tuesday, February 3, 2014MAT 312

MAT 312

. . . PENNIES for the AGES. . .

Without looking, dig into the collection and grab FOUR PENNIES. Note the dates, return the pennies, and re-mix the collection.

Calculate the AVERAGE AGE of your four pennies, based on the mint dates. For example, if the penny dates are 1994, 1968, 2006, and 1999, the average (mean) age is:

(10+46+8+15)/(4) = 79/4 = 19.75 ≈ 20 years.

Note the horizontal and vertical scales on the grid here and then record that (rounded) average age using a properly scaled X. Tuesday, February 3, 2014

Page 2: Tuesday, February 3, 2014MAT 312. Tuesday, February 3, 2014MAT 312

Prob & Stat (MAT 312)Dr. Day Tuesday February 3,

2014 Grab 4 Pennies at Random and Calculate/Plot Their Average

(Mean) Age

Return Assignment #2 Point Assignment Shown as ReggieNet Comment

Comments on National Test Items and Results CCSSM for Statistics and Probability

Representing Data: Visual/Numerical Displays/Summaries

Characteristics of 1-Variable Data Center/Location Spread (aka Variation) Shape

Assignment for Next TimeTuesday, February 3, 2014

MAT 312

Page 3: Tuesday, February 3, 2014MAT 312. Tuesday, February 3, 2014MAT 312

MAT 312

School Curriculum Connections

NAEP Items and Results

Common Core State Standards for Mathematics Statistics and Probability

Tuesday, February 3, 2014

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MAT 312

Representing DataVisual and Numerical Displays and

SummariesDisplay Summary

Visual

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Numerical

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Initial Steps: 1-Variable Data Analysis

Clusters are isolated groups of points.

Gaps are large spaces between data points or between clusters of data points.

Outliers are data values substantially larger or smaller than any other data points.

The maximum value of a data set is the largest value in the set. It is also called the upper extreme.

The minimum value of a data set is the smallest value in the set. It is also called the lower extreme.

The range of a data set is the difference between the maximum and minimum values of a data set.

The mode of a data set is the value that occurs most often in the data set. A data set can have more than one mode, and if no data value occurs more often than any other, there is no mode.Tuesday, February 3, 2014

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Representing DataDisplay Summary

Visual

Line Plot (Dot Plot)

Stem-and-Leaf Plot

Scatter Plot

Circle GraphBar GraphHistogram

Box-and-Whisker Plot

Numerical

Raw DataOrdered ListFrequency

Table

Measures of Center(mean, median, mode)

Measures of Spread(range, deviations,

variance)Markers of Locations

(percentiles, 5-number summary)

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MAT 312

See Assignment #3 handout for all information.

Assignment #3: Due Tuesday

2/11/14

Tuesday, February 3, 2014