Uniform distributions

Generate random data distributions

Generate a UNIFORM distribution of 100 whole numbers from 1 to 100.
uniform distribution: each number in the range is equally likely to occur.
Copy and paste it to 
freq dist, histogram, stats ***

n=____ mean=______     SD s=________   range/sqrt(12)=________

Is each quartile of the boxplot the same length:______ (may or may not be...)

Make a histogram with class width 1.
How many times, on average, will each number (1-100) be in the data set
 given that each number has the same chance as every other of being here:___
What's the minimum frequency (count) of this data:___   
 Any numbers in the range 1-100 not generated?:_____  How many?:_____
What's the maximum frequency (count) of this data:___
 i.e. there is variation. Some numbers will occure more than expected, others less.


Generate and Copy and paste a uniform distribution of 1000 whole numbers from 1 to 100.

n=_____ mean=______     SD s=________   range/sqrt(12)=________
       basically the same values as before.

Is each quartile of the boxplot the same length:______ (now we're cookin')

Make a histogram with class width 1.
How many times will each number (1-100) on average be in the data set:___
What's the minimum frequency (count) of this data:___   
  Any numbers in the range 1-100 not generated?:_____  very unlikely
What's the maximum frequency (count) of this data:___
 What is the ratio of the maximum frequency to the minimum frequency:______
This up and down is the randomness to expect of a uniform distribution.
If the bars are all the same height then your spidey senses should be
tingling that something "special" is happening. 
 or n is very large. As n gets larger, the histogram gets "flatter".

2s=_____
What are the "statistically significant" bounds: <mean-2s:_____   >mean+2s:_____
How many datums are "statistically significant" i.e. more than 2 SD from the mean:____
 "Trick question" because in a uniform distribution ALL the data is within 2 SD of the mean!

Since you're here...
 Generate 100000 uniformly distributed whole numbers from 1 to 100. 
Copy, paste, button.
Look at the flattening "stickgram". Make a histogram with class width 1.
What's the minimum frequency (count) of this data:___   
    All numbers in the range 1-100 are generated.
What's the maximum frequency (count) of this data:___
 What is the ratio of the maximum freq to the min frequency:______
   How does this ratio for this data compare to the ratio of the above 1000 numbers:
    ________________________________