Nation  Number of Motor Vehicles per 1000 population (2009) 
United States  786 
Germany  588 
Canada  608 
Japan  588 
Australia  703 
Israel  330 
Russia  271 
Mexico  278 
Tunisia  130 
Bolivia  87 
China  69 
Niger  8 
Kenya  25 
Thailand  172 
India  18 





Source: World Bank, 2014. Retrieved from http://data.worldbank.org/indicator/lS.VEH.NVEH.P3
3.11
Nation  Number of Motor Vehicles per 1000 population (2009) 
United States  786 
Germany  588 
Canada  608 
Japan  588 
Australia  703 
Israel  330 
Russia  271 
Mexico  278 
Tunisia  130 
Bolivia  87 
China  69 
Niger  8 
Kenya  25 
Thailand  172 
India  18 



To find:
The standard deviation for the given variable
Given:
The following table shows the number of cars per 1000 population for 15 nations.
Nation  Number of Motor Vehicles per 1000 population (2009) 
United States  786 
Germany  588 
Canada  608 
Japan  588 
Australia  703 
Israel  330 
Russia  271 
Mexico  278 
Tunisia  130 
Bolivia  87 
China  69 
Niger  8 
Kenya  25 
Thailand  172 
India  18 
Formula used:
Let the data values be
The formula to calculate median for odd number of terms is given by,
The formula to calculate mean is given by,
The formula to calculate standard deviation is given by,
Where,
Calculation:
Arrange the data in the increasing order.
The data in increasing order is given by,
S. No  Income 
1  8 
2  18 
3  25 
4  69 
5  87 
6  130 
7  172 
8  271 
9  278 
10  330 
11  588 
12  588 
13  608 
14  703 
15  786 
The number of terms is 15, which is odd.
The median for the odd number of terms is given by,
Substitute 15 for number of terms in the above mentioned formula,
The median income corresponding to
The size of the population is 15.
The mean is given by,
Substitute 15 for
Consider the following table of sum of squares,
786  475.27  225881.6 
588  277.27  76878.65 
608  297.27  88369.45 
588  277.27  76878.65 
703  392.27  153875.8 
330  19.27  371.3329 
271  1578.473  
278  1071.253  
130  32663.33  
87  50055.11  
69 
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