Question

In: Statistics and Probability

1e) Use the given data to compute the following statistic: 46, 51, 63, 65, 74, 46,...

1e) Use the given data to compute the following statistic: 46, 51, 63, 65, 74, 46, 58, 70, 43 The 85th percentile... P85

1f) Use the given data to compute the RANGE: 46, 51, 63, 65, 74, 46, 58, 70, 43

1g) Use the given data to compute the VARIANCE: 46, 51, 63, 65, 74, 46, 58, 70, 43

1h) Use the given data to compute the STANDARD DEVIATION: 46, 51, 63, 65, 74, 46, 58, 70, 43

No Handwriting please, type your answer.

Solutions

Expert Solution

1.e.

1f. The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

43   46   46   51   58   63   65   70   74   

The lowest value is 43.

The highest value is 74.

The range = 74 - 43 = 31.

1g. To find variance first we need to find mean

Create the following table.

data data-mean (data - mean)2
46 -11.3333 128.44368889
51 -6.3333 40.11068889
63 5.6667 32.11148889
65 7.6667 58.77828889
74 16.6667 277.77888889
46 -11.3333 128.44368889
58 0.6667 0.44448889
70 12.6667 160.44528889
43 -14.3333 205.44348889

So

1h.


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