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Excel statistical functions: AVERAGE

Excel has many statistical functions. Here is a description of one of the most commonly used: AVERAGE  

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Apparent puzzles with goodness-of-fit tests

Given two data sets it is a not unreasonable question to ask if they have similar distributions. For example, if we produce one data set of 500 numbers between 0 and 1, chosen uniformly and randomly...

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Individual gain and engagement with mathematical understanding

My colleague Mercedes McGowen and I examined a measure of individual student gain by pre-service elementary teachers, related to Richard Hake’s use of mean gain in the study of reform classes in...

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Coffee, Love and Matrix algebra – a review

Gary Ernest Davis Publisher:  Republic of Mathematics Publication Date: 2014 Number of Pages:  389 Format:  Paperback ISBN: 9780692262306  x x Reviewed by David A. Huckaby, on 11/12/2014 David A....

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The number 3608528850368400786036725

Ben Vitale (@BenVitale) announced that 3608528850368400786036725 is  a 25 digit number with the property that  each number formed by its first n digits is divisible by n, for n from 1 through 25. How...

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Data analysis: R functions for beginners

x What is a function, anyway? x For programming purposes, one should think of a function as a type of object that takes certain types of INPUTS, and – once those inputs are given – produces a definite...

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Data analysis: is it easier in Mathematica® ?

I wrote a post yesterday on defining functions in R for beginners. By “beginners” I mean either people who are just learning R, or are just starting out in data analysis, or both. Today I want to show...

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Data analysis for beginners: Box and whisker plots in R

John Wilder Tukey introduced a five-number summary of a data set in 1969 his book Exploratory Data Analysis. For a given data set, a five-number summary consists of: The median of the data The upper...

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Division of Fractions – Davis & Pearn

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Codes for kids: Simple substitution ciphers

The idea of a simple substitution code Simple substitution ciphers substitute one letter of the alphabet for another, in some random arrangement. Here is an example of a simple substitution cipher: A →...

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