Uniform and Normal distributions

https://davidwills.us/math103/distro_generator.html

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 ***
  https://davidwills.us/math103/freq_histogram.html

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 will each number on average be in the range:___
What's the minimum # of times of this data:___
What's the maximum # of times of this data:___
 i.e. there is variation

Leave all that alone. 
Open another copy of the "freq dist, histogram, stats ***"
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 on average be in the range:___
What's the minimum # of times of this data:___
What's the maximum # of times of this data:___
 i.e. there is variation
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".
 Generate 100,000 uniformly distributed from 1 to 100. Look at the flattening "stickgram".

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!

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Generate and Copy and paste a NORMAL distribution with mean 50 and SD 10 of 100 whole numbers.
n=___  mean=______     SD s=________  
       median and mode near the mean?:_____
Boxplot symmetric?:____    #Outliers:____
 How are the two tails' lengths compared to the IQR (i.e. the box): 
   ___________________________
Histogram of class widths 1 and of 5 showing symmetric mound-like shape?:____
How many datums are "statistically significant" (more than 2s from the mean):______


Open another copy of the "freq dist, histogram, stats ***"
Generate and Copy and paste a normal distribution with same mean and SD of 1000 whole numbers.
n=___  mean=______     SD s=________  
       median and mode very near the mean?:_____
Boxplot symmetric?:____    #Outliers:____  
 How are the two tails' lengths compared to the IQR (i.e. the box): 
   ___________________________
Histogram of class widths 1 and of 5 showing symmetric mound-like peaked shape?:____
How many datums are "statistically significant" (more than 2s from the mean):______
    What percent of the data is this:_____%
    Empirical Rule says what percent of normal data is within 2 SD of the mean:____