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set3 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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THE UNIVERSITY OF SYDNEY Math1005 Statistics Semester 2 Tutorial Week 3 2006 We encourage you to attempt these problems before your tutorial class. 1. ( Multiple choice ) From a set of 8 values we have 8 s i =1 x i = 427 and 8 s i =1 x 2 i = 22805 . The mean and variance of this sample is (2dp): (a) 53.38 and 1.19 (b) 53.38 and 1.41 (c) 53.40 and 1.41 (d) 53.38 and 1.98 (e) none of the above. 2. ( Multiple choice ) The following stem-leaf gives examination results as integers out of 100. 3 | 8 4 | 0468 5 | 235568 6 | 0145588 7 | 11445 8 | 35 The mean of this sample is (2dp): (a) 61.16 (b) 43.24 (c) 58.85 (d) 97.24 (e) cannot calculate. 3. Find the median, the quartiles and the minimum and maximum for the data in Q2. 4. Write down the calculation formula for the sample correlation coe±cient ( r ) for the raw data x 1 , x 2 , · · · , x n and y 1 , y 2 , · · · , y n . . 5.

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set3 - THE UNIVERSITY OF SYDNEY Math1005 Statistics...

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