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ECONOMICS SS2
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SCHEME OF WORK FOR FIRST TERM
The concept of national income international trade and balance of payment. economic Integration. petroleum and the Nigerian economy. economic growth and economic development.
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Basic Tools For Economic Analysis
Economics ss 2 Basic Tools For Economic Analysis
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Measure of variation (Dispersion)
Measurement of dispersion is the degree to which numerical data spread around the average.
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The most common measure of dispersion are:
The range The mean deviation The standard deviation The variance
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The Range The range of a set of number is the difference between the highest and lowest number in a set. Example : the range of the set 2,2,3,5,8,12,15 Range =highest score- lowest score 15-2=13
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The Mean Deviation This measures the dispersion around the arithmetic mean and is the sum of the arithmetic mean divided by the total numbers of times the value occur.
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M.d= / N M.D = / f Where M.d= mean deviation = sigma or the sum of
X = the variable X = the arithmetic mean N( f)= number eg times the value occurs
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Example: Find the mean deviation of the set of numbers 2,3,6,8,11
Solution: X= x X = =30 = 6 N
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x X- x / x- x / 2 -4 4 3 -3 6 8 11 5 /x-x/= 14 M.d= /x-x/ =14/5=2.5 N
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Standard Deviation This is a measure of the degree of variation of a frequency distribution about its arithmetic mean. S.D = (X- X) 2 N
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Example: 1 find the standard deviation of the following set of number 2,3,6,8,11 solution x = x = =30/5 N 5
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x X- x ( x- x ) 2 -4 4 3 -3 6 8 11 5 2
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2 s.d= (x-x) N
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s.d= / = s.d=3.29 s.d=3.3
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The variance The variance of set of data is define as the square of the standard deviation . V= s.d 2
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Assignment: calculate the standard deviation and variance of the following set of numbers 2,2,5,7,7,7,9,9,9,10,10,11,12,18.
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