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Standard Deviation

This Standard Deviation lesson is for a beginner. Read the short notes, run each example, then change one name or number and run it again.

Standard deviation measures how far the numbers sit from the mean. A small value means the scores are clustered.

pstdev divides by the full count. Use it for a complete set of scores rather than a sample.

Example 1: Start here

stdev divides by count minus one. Use that when the numbers are a sample of a larger group.

import statistics # load a tool that comes with Python print(round(statistics.pstdev([71, 82, 90, 74]), 2))

Example 2: Add two rows

Standard Deviation applies one operation to every number. zip pairs the rows, and the list keeps each sum.

left = [1, 2, 32] # a list; the values stay in this order right = [10, 20, 30] # a list; the values stay in this order print([a + b for a, b in zip(left, right)]) # pair the lists, then combine each pair

Example 3: Average a column

The average is the total divided by how many numbers you have. That is the same summary a statistics page starts with.

scores = [70, 32, 90] # a list; the values stay in this order print(sum(scores) / len(scores)) # len counts the items

Example 4: Keep values above a line

A cutoff drops the low values. Change 80 and run the example again to see who remains.

scores = [70, 32, 90] # a list; the values stay in this order print([score for score in scores if score >= 80]) # keep the items that pass the test
stdev divides by count minus one. Use that when the numbers are a sample of a larger group.
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