Standard deviation

Find standard deviation for dataset (grouped data):

Age (years) No. Of Persons
0-10 15
10-20 15
20-30 23
30-40 22
40-50 25
50-60 10
60-70 5
70-80 10

Correct result:

s =  19.7579

Solution:

n=15+15+23+22+25+10+5+10=125  m1=5 15+15 15+25 23+35 22+45 25+55 10+65 5+75 10=4395 m=m1/n=4395/125=87925=35.16  s1=52 15+152 15+252 23+352 22+452 25+552 10+652 5+752 10=203325  s2=s1/nm2=203325/12535.162=390.3744  s=s2=390.3744=19.7579



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Showing 1 comment:
#
Dr Math
Check also with our stddev calculator - input is given as frequency table:

https://www.hackmath.net/en/calculator/standard-deviation?input=5+15+25+35+45+55+65+75%0D%0Af%3A15+15+23+22+25+10+5+10

x is Mid Interval Value and f is frequency

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