Thursday, January 30, 2014MAT 312. Thursday, January 30, 2014MAT 312.
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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. Thursday, January 30, 2014 MAT 312
Transcript of Thursday, January 30, 2014MAT 312. Thursday, January 30, 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. Thursday, January 30, 2014
Prob & Stat (MAT 312)Dr. Day Thursday January 30,
2014 Grab 4 Pennies at Random and Calculate/Plot Their Average
(Mean) Age
Collect Assignment #2 and Return Assignment #1
Debrief Population 600 Activity Highlights from “Questions?” Discuss Results
Prob & Stat: School Connections Comments on National Test Items and Results CCSSM for Statistics and Probability
Representing Data: Visual/Numerical Displays/Summaries
Assignment for Next TimeThursday, January 30, 2014
MAT 312
MAT 312
School Curriculum Connections
NAEP Items and Results
Common Core State Standards for Mathematics Statistics and Probability
Thursday, January 30, 2014
MAT 312
Population 600 Debrief
Results Comparison: One Example (9 groups; columns are %)
Thursday, January 30, 2014
A B C D E F G H J Actual
Perfect Square
0 0 3.3 0 6.7 0 0 3.3 13.3 24 4%
3-digit #
96.7 80 93.
383.3
93.3 70 80 83.
383.3 50183.5%
Digit: 4
26.7
43.3
43.3 30 30 20 26.
723.3 40 195 32.5%
Digit: 9
26.7
26.7 20 10 26.
723.3
26.7
23.3
16.7 114 19%
Even #
43.3 50 50 56.
726.7 60 30 46.
7 50 300 50%
MAT 312
Population 600: Emerging Question
and Concerns
Thursday, January 30, 2014
• Is there an easier way to find the amount of numbers in census sample for “contains the digit 4” and “contains the digit 9”?
• What is an easy way to do the cluster method? How do you choose a method?
• Are convenience samples ever to be considered reliable? What are they used for?
• We are just curious as to how many simple random samples you would need to obtain to make sure the data accurately represents the total population.
• We have concerns on how best to cluster and group number to keep consistency. We are also concerned on the accuracy of our answers for questions (1) and (2) because we are unsure what we are measuring.
• We wonder if stratified samples are the most versatile for different populations We think it will be effective for a variety of populations.
• Would a stratified random sample be the most accurate all the time?
• How big the sample has to be to represent a population? Which sampling is best for certain information that is being surveyed in a population?
• It is a concern of ours how often an inaccurate sample is used. Also, how important is it to choose the type of sample that would accurately represent the population is our other concern.
MAT 312
Representing DataVisual and Numerical Displays and
SummariesDisplay Summary
Visual
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Numerical
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MAT 312Thursday, January 30, 2014
MAT 312Thursday, January 30, 2014
MAT 312
Initial Steps: 1-Variable Data Analysis
Clusters are isolated groups of points.
Gaps are large spaces between 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.Thursday, January 30, 2014
MAT 312
Representing DataDisplay Summary
Visual
Line Plot (Dot Plot)
Stem-and-Leaf Plot
Circle GraphBar GraphHistogram
Box-and-Whisker Plot
NumericalOrdered ListFrequency
Table
Measures of Center(mean, median, mode)
Measures of Spread(range, deviations,
variance)
Thursday, January 30, 2014
MAT 312
See handout.
Assignment #3: Due Thursday
2/6/14
Thursday, January 30, 2014
