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Sample size and variation

Sample size and variation

Generally speaking, as the sample size increases the information from the data becomes more reliable.

Consider the following data collected from tossing a coin 10 times (sample size 10) and recording the result as H (head) or T (tail).

The coin toss is conducted 5 times and the percentage of heads calculated.

 

1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th % H
T H T H T H T H H T 50
T H T T T H T H T T 30
H T H T T H H H H H 70
H T H T T T T H T H 40
H H H T H T H H H H 80

 

The outcomes vary from 30% to 80%.

 

The following results are from 5 samples of 100 tosses of the coin.

 

Number of tosses % H
100 50
100 49
100 50
100 54
100 47

 

The outcomes vary from 47% to 54%.

The variation from the expected 50% heads is much less for 100 tosses than for 10 tosses. 

Yes

Yes

Name Class Section
Document Variation in sample size for coin tosses Folder 17
Document Sampling from a mystery population Folder 17
Document Random or not Folder 17