e are going to calculate the standard deviation for the following set of sample data. 12,13,8,8,3 1) First, calculate the mean. ¯x=x¯= 2) Fill in the table below. Fill in the differences of each data value from the mean, then the squared differences. 3) Calculate the standard deviation. xx x−¯xx-x¯ (x−¯x)2(x-x¯)2 12     13     8     8     3       Total   Standard deviation:  s=√∑(x−¯x)2n−1=s=∑(x-x¯)2n-1=  Round to two decimal places

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e are going to calculate the standard deviation for the following set of sample data.
12,13,8,8,3



1) First, calculate the mean.
¯x=x¯=

2) Fill in the table below. Fill in the differences of each data value from the mean, then the squared differences.
3) Calculate the standard deviation.

xx x−¯xx-x¯ (x−¯x)2(x-x¯)2
12    
13    
8    
8    
3    
  Total  



Standard deviation: 
s=√∑(x−¯x)2n−1=s=∑(x-x¯)2n-1=  Round to two decimal places

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Solution: 

Given that:

n= 5 observation 

 

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