set2

set2 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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Unformatted text preview: THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 2 2006 We encourage you to attempt these problems before your tutorial class. 1. Write down the expansions of (a) 5 summationdisplay i =1 x i (b) 4 summationdisplay i =1 x 2 i (c) 6 summationdisplay i =1 x i y i 2. Write down the calculation formulae for the sample mean (¯ x ) and the sample standard deviation ( s x ) of the raw data x 1 , x 2 , · · · , x n . 3. Consider the following table for x and y values: i 1 2 3 4 5 x i 1 6 8 3 5 y i 3 1 7 4 2 Find 5 summationdisplay i =1 x i , 5 summationdisplay i =1 x 2 i , parenleftBigg 5 summationdisplay i =1 x i parenrightBigg 2 , 5 summationdisplay i =1 y i , and 5 summationdisplay i =1 x i y i . 4. ( Multiple choice ) The mean and variance of x for the data in Q3 is: (a) 23 and 135 (b) 7.3 and 4.6 (c) 4.6 and 7.3 (d) 5 and 10 (e) none of the above. 5. ( Multiple choice ) The value of S xy = 5 summationdisplay i =1 x i y i- parenleftBigg 5 summationdisplay i =1 x i parenrightBiggparenleftBigg...
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set2 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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