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Mean, Mode, Median

http://www.regentsprep.org/regents/math/algebra/AD2/Pmeasure.htm

Organizing and Interpreting Data

http://www.regentsprep.org/regents/math/algebra/AD3/PracData.htm

Percentiles and Quartiles

http://www.regentsprep.org/regents/math/algebra/AD6/quartpractice.htm

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https://padlet.com/mmuvictor/DPS5018_main

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Trim 3, 2015/2016

Q2a(ii), Q2c, Q2d

Trim 2, 2015/2016

Section A:

Q11

Section B:

Q1c, Q1e

Trim 2, 2014/2015

Section C:

Q1a, Q1b(ii)

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Deriving the Shortcut Formulae for both Sample and  Population Variance 

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Deriving the Shortcut Formulae for both Sample and  Population Variance 

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https://www.saddleback.edu/faculty/pquigley/math10/shortcut.pdf

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This file contains various algorithms submitted by students during their Week 6 Lecture

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Analysis of Week 6 "Deal or No Deal" game using Microsoft Excel

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Analysis of Week 6 "Deal or No Deal" game using Microsoft Excel

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This file contains all the statistics described in the above "Summarized and Detailed Notes for Week 6 'Deal or No Deal' game"; except that all those statistics are calculated by Microsoft Excel (for those interested to see how to use Microsoft Excel to calculate all those statistics)

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Summarized and Detailed Notes for Week 6 "Deal or No Deal" game

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Summarized and Detailed Notes for Week 6 "Deal or No Deal" game

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The following topics are covered in this notes:
3.1) Measures of Central Tendency: Mean
3.2) Measures of Variation: Standard Deviation

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Example Application of Standard Deviation for measuring the AC (alternating current) portion of a signal

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Example Application of Standard Deviation for measuring the AC (alternating current) portion of a signal

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In electronics, the mean measures the DC (direct current) value; whereas the standard deviation measures the AC (alternating current) value.

The attached figure shows the relationship between the standard deviation and the peak-to-peak value of several common waveforms.

Source:

http://www.dspguide.com/ch2/2.htm

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24 Videos on Descriptive statistics

https://www.youtube.com/playlist?list=PLU5aQXLWR3_yYS0ZYRA-5g5YSSYLNZ6Mc

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Measures of Shape: Skewness and Kurtosis (out of syllabus)

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Measures of Shape: Skewness and Kurtosis (out of syllabus)

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http://brownmath.com/stat/shape.htm

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Revision of Topic 2 & 3 in Week 5 Lecture

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Revision of Topic 2 & 3 in Week 5 Lecture

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Q1) Draw a stem-and-leaf plot for the dataset {1,1,2,3,5,8,13}

Q2) Calculate all the statistics covered in DPS5018 for the sample dataset {1,1,2,3,5,8,13}

Q3) Calculate all the statistics covered in DPS5018 for the population dataset {1,1,2,3,5,8,13}

Q4) Construct the frequency distribution table for the dataset {1,1,2,3,5,8,13}, then:

Draw a histogram and pie chart to visualize that frequency distribution table

Calculate all the statistics covered in DPS5018 for the sample dataset described by that frequency distribution table

Calculate all the statistics covered in DPS5018 for the population dataset described by that frequency distribution table

Q5) Construct the grouped frequency distribution table for the dataset {1,1,2,3,5,8,13} with [0, 10) as its first class interval, then:

Draw a histogram and pie chart to visualize that grouped frequency distribution table

Calculate all the statistics covered in DPS5018 for the sample dataset described by that grouped frequency distribution table

Calculate all the statistics covered in DPS5018 for the population dataset described by that grouped frequency distribution table

P.S. {1,1,2,3,5,8,13} is the first seven numbers in the Fibonacci sequence :)

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Various Statistics for Grouped Data (out of syllabus)

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Various Statistics for Grouped Data (out of syllabus)

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http://people.umass.edu/biep540w/pdf/Grouped%20Data%20Calculation.pdf

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http://www.mathsisfun.com/data/range.html

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http://www.mathsisfun.com/data/standard-deviation-calculator.html

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http://www.mathsisfun.com/data/mean-frequency-table.html

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https://www.mathsisfun.com/data/frequency-grouped-mean-median-mode.html

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http://www.mathsisfun.com/data/central-measures.html

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http://www.mathsisfun.com/data/standard-deviation.html

http://www.mathsisfun.com/data/standard-deviation-formulas.html

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If you would like to "see the mathematical proof" on why we need to divide by n-1 (instead of n) when calculating sample variance, feel free to check out any of the links below:

http://isites.harvard.edu/fs/docs/icb.topic515975.files/Proof%20that%20Sample%20Variance%20is%20Unbiased.pdf

https://maxwell.ict.griffith.edu.au/sso/biased_variance.pdf

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final 1415.pdf

Section A:

Q6

Section B:

Q4

Section C:

Q1a, Q1b

final 1516.pdf

Section B:

Q1b

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Example Application of Descriptive Statistics for Selecting the Best Job Candidate to Hire

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Example Application of Descriptive Statistics for Selecting the Best Job Candidate to Hire

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Example Application of Boxplot for Outlier Detection

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Example Application of Boxplot for Outlier Detection

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Beginner Level

http://www.purplemath.com/modules/boxwhisk3.htm

Advanced Level

http://www.analyticsvidhya.com/blog/2016/01/guide-data-exploration/#three

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Summarized and Detailed Notes for Week 4 Lecture

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Summarized and Detailed Notes for Week 4 Lecture

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The following topics are covered in this notes:
1.2) Population vs. Sample
1.2) Symbols used to denote various statistics and parameter
1.4) Simple Random Sampling via Dice Rolling
2.3) Graphs and Charts: Histogram
3.1) Measures of Central Tendency: Mean
3.2) Measures of Variation: Standard Deviation
5.2) The Mean and Standard Deviation of a Discrete Random Variable
6) The Normal Distribution
8) Hypothesis Tests about a Population Mean

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3.3) You can use any formulae to calculate 1st Quartile (Q1) and 3rd Quartile (Q3) during all DPS5018 exams

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3.3) You can use any formulae to calculate 1st Quartile (Q1) and 3rd Quartile (Q3) during all DPS5018 exams

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As long as 25% of the data lies between Q1 and Q2, and 25% of the data lies between Q2 and Q3, you will get full marks in your DPS5018 exams (related to calculating Q1 and Q3).

Therefore, you can use the method I shared during our tutorial, or its many variants:

https://www.mathsisfun.com/data/quartiles.html

http://www.purplemath.com/modules/boxwhisk.htm

http://onlinestatbook.com/2/introduction/percentiles.html

You may even use Microsoft Excel's way of calculating Q1 and Q3, if it fancies you :)

http://datapigtechnologies.com/blog/index.php/why-excel-has-multiple-quartile-functions-and-how-to-replicate-the-quartiles-from-r-and-other-statistical-packages/

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Summarized and Detailed Notes for Week 3 Tutorial

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Summarized and Detailed Notes for Week 3 Tutorial

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The following topics are covered in this notes:
1.2) Population vs. Sample
1.2) Symbols used to denote various statistics and parameter
1.4) Simple Random Sampling via Coin Flipping
2.3) Graphs and Charts: Histogram
3.1) Measures of Central Tendency: Mean
8) Inferential Statistics: The best estimate for a population mean is the mean of the sample distribution of the sample means

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Summarized and Detailed Notes for Week 4 Tutorial

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Summarized and Detailed Notes for Week 4 Tutorial

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The following topics are covered in this notes:
3.1) Measures of Central Tendency
3.2) Measures of Variation
3.3) Five-Number Summary
3.3) Boxplots

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Analysis of Week 3 Class activity (and Week 4 Tutorial) using Microsoft Excel

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Analysis of Week 3 Class activity (and Week 4 Tutorial) using Microsoft Excel

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This file contains all the statistics described in the above "Summarized and Detailed Notes for Week 4 Tutorial"; except that all those statistics are calculated by Microsoft Excel (for those interested to see how to use Microsoft Excel to calculate all those statistics)

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3.1 to 3.2) Summation Notation

http://onlinestatbook.com/2/introduction/summationM.html

3.1a) What is Central Tendency

http://onlinestatbook.com/2/summarizing_distributions/what_is_ctM.html

3.1b) Measures of Central Tendency

http://onlinestatbook.com/2/summarizing_distributions/measuresM.html

3.1c) Median and Mean

http://onlinestatbook.com/2/summarizing_distributions/mean_median_defM.html

3.1d) Comparing Measures of Central Tendency

http://onlinestatbook.com/2/summarizing_distributions/comparing_measuresM.html

3.3a) Percentile

http://onlinestatbook.com/2/introduction/percentilesM.html

3.3b) Box Plots

http://onlinestatbook.com/2/graphing_distributions/boxplotsM.html

3.3c to 3.2) Measures of Variability

http://onlinestatbook.com/2/summarizing_distributions/variabilityM.html

3.1 to 3.2) How to calculate Sample Standard Deviation in Excel

https://www.youtube.com/watch?v=efdRmGqCYBk

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http://hotmath.com/hotmath_help/topics/box-and-whisker-plots.html

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Post good learning materials over here to get your Bonus Marks :)

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These are what you need to know about Topic 3

Numerical Descriptive Measures

3.1) Measures of Central Tendency

3.2) Measures of Variation

3.3) Five-Number Summary

3.3) Boxplots