Median Income for Canadian Provinces and Territories, 2000 and 2011 (Canadian dollars)
Province or Territory  2000  2011 
Newfoundland and Labrador  38,800  67,200 
Prince Edward Island  44,200  66,500 
Nova Scotia  44,500  66,300 
New Brunswick  43,200  63,930 
Quebec  47,700  68,170 
Ontario  55,700  73,290 
Manitoba  47,300  68,710 
Saskatchewan  45,800  77,300 
Alberta  55,200  89,930 
British Columbia  49,100  69,150 
Yukon Columbia  56,000  90,090 
Northwest Territories  61,000  105,560 
Nunavut  37,600  65,280 







Median Income for Thirteen States, 1999 and 2012 (U.S dollars)
State  1999  2012 
Alabama  36,213  43,464 
Alaska  51,509  63,348 
Arkansas  29,762  39,018 
California  43,744  57,020 
Connecticut  50,798  64,247 
Illinois  46,392  51,738 
Kansas  37,476  50,003 
Maryland  52,310  71,836 
Michigan  46,238  50,015 
New York  40,058  47,680 
Ohio  39,617  44,375 
South Dakota  35,962  49,415 
Texas  38,978  51,926 







3.6
Median Income for Canadian Provinces and Territories, 2000 and 2011 (Canadian dollars)
Province or Territory  2000  2011 
Newfoundland and Labrador  38,800  67,200 
Prince Edward Island  44,200  66,500 
Nova Scotia  44,500  66,300 
New Brunswick  43,200  63,930 
Quebec  47,700  68,170 
Ontario  55,700  73,290 
Manitoba  47,300  68,710 
Saskatchewan  45,800  77,300 
Alberta  55,200  89,930 
British Columbia  49,100  69,150 
Yukon Columbia  56,000  90,090 
Northwest Territories  61,000  105,560 
Nunavut  37,600  65,280 



Median Income for Thirteen States, 1999 and 2012 (U.S dollars)
State  1999  2012 
Alabama  36,213  43,464 
Alaska  51,509  63,348 
Arkansas  29,762  39,018 
California  43,744  57,020 
Connecticut  50,798  64,247 
Illinois  46,392  51,738 
Kansas  37,476  50,003 
Maryland  52,310  71,836 
Michigan  46,238  50,015 
New York  40,058  47,680 
Ohio  39,617  44,375 
South Dakota  35,962  49,415 
Texas  38,978  51,926 



To find:
The median, mean, range and standard deviation of 13 Canadian provinces and U.S states in two separate years
Given:
The following table gives the data of median income for Canadian Provinces and Territories of the year 2000 and 2011.
Province or Territory  2000  2011 
Newfoundland and Labrador  38, 800  67, 200 
Prince Edward Island  44, 200  66, 500 
Nova Scotia  44, 500  66, 300 
New Brunswick  43, 200  63, 930 
Quebec  47, 700  68, 170 
Ontario  55, 700  73, 290 
Manitoba  47, 300  68, 710 
Saskatchewan  45, 800  77, 300 
Alberta  55, 200  89, 930 
British Columbia  49, 100  69, 150 
Yukon Columbia  56, 000  90, 090 
Northwest Territories  61, 000  105, 560 
Nunavut  37, 600  65, 280 
The following table gives the data of median income for U.S states of the year 1999 and 2012.
State  1999  2012 
Alabama  36, 213  43, 464 
Alaska  51, 509  63, 348 
Arkansas  29, 762  39, 018 
California  43, 744  57, 020 
Connecticut  50, 798  64, 247 
Illinois  46, 392  51, 738 
Kansas  37, 476  50, 003 
Maryland  52, 310  71, 836 
Michigan  46, 238  50, 015 
New York  40, 058  47, 680 
Ohio  39, 617  44, 375 
South Dakota  35, 962  49, 415 
Texas  38, 978  51, 926 
Formula used:
The formula to calculate median for odd number of terms is given by,
The formula to calculate range is given by,
Let the data values be
The formula to calculate mean is given by,
The formula to calculate standard deviation is given by,
Where,
Calculation:
For 13 Canadian provinces and Territories
For the year 2000  arrange the data in the increasing order.
The data in increasing order is given by,
S.No  Income 
1  37, 600 
2  38, 800 
3  43, 200 
4  44, 200 
5  44, 500 
6  45, 800 
7  47, 300 
8  47, 700 
9  49, 100 
10  55, 200 
11  55, 700 
12  56, 000 
13  61, 000 
The number of terms is 13, which is odd.
The median for the odd number of terms is given by,
Substitute 13 for number of terms in the above mentioned formula,
The median income corresponding to
The highest income is 61, 000 and the lowest income is 37, 600.
The range is given by,
Substitute 61, 000 for highest income and 37, 600 for lowest income in the above mentioned formula,
The size of the population is 13.
The mean is given by,
Substitute 13 for
Consider the following table of sum of squares,
Scores 

38, 800  87637682  
44, 200  15693482  
44, 500  13406582  
43, 200  24616482  
47, 700  212982.25  
55, 700  7, 538.5  56828982 
47, 300  742182.25  
45, 800  5576682.3  
55, 200  7, 038.5  49540482 
49, 100  938.5  880782.25 
56, 000  7, 838.5  61442082 
61, 000  12, 838.5  164827082 
37, 600  111545282  
From equation
Square the both sides of the equation.
Proceed in the same manner to calculate
The standard deviation is given by,
From equation
Thus, range is 23, 400 and standard deviation is 6753.64.
For 13 Canadian provinces and Territories
For the year 2011  arrange the data in the increasing order.
The data in increasing order is given by,
S.No  Income 
1  63, 930 
2  65, 280 
3  66, 300 
4  66, 500 
5  67, 200 
6  68, 170 
7  68, 710 
8  69, 150 
9  73, 290 
10  77, 300 
11  89, 930 
12  90, 090 
13  105, 560 
The number of terms is 13, which is odd.
The median for the odd number of terms is given by,
Substitute 13 for number of terms in the above mentioned formula,
The median income corresponding to
The highest income is 105, 560 and the lowest income is 63.930.
The range is given by,
Substitute 105, 560 for highest income and 63, 930 for lowest income in the above mentioned formula,
The size of the population is 13.
The mean is given by,
Substitute 13 for
Consider the following table of sum of squares,
Scores 

67, 200  56607566  
66, 500  67630886  
66, 300  70960406  
63, 930  116506118  
68, 170  42952294  
73, 290  2055782.4  
68, 710  36165790  
77, 300  2, 576.2  6636806.4 
89, 930  15, 206.2  231228518 
69, 150  31067246  
90, 090  15, 366.2  236120102 
105, 560  30, 836.2  950871230 
65, 280  89185358  
From equation
Square the both sides of the equation.
Proceed in the same manner to calculate
The standard deviation is given by,
From equation
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