The Analysis of Biological Data
The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 3, Problem 1PP

(a)

To determine

To find: The sample size.

(a)

Expert Solution
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Explanation of Solution

Given:

The data set is:

    112
    128
    108
    129
    125
    153
    155
    132
    137

The provided data represents that there are total 9 observations. Thus, the sample size is 9.

(b)

To determine

To find: The sum of the provided observations.

(b)

Expert Solution
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Answer to Problem 1PP

The sum is 1179.

Explanation of Solution

The sum of the provided observations can be calculated as:

  Sum of observations=112+128+....+137=1179

Thus, the required sum is 1179.

(c)

To determine

To fin: The mean of the provided observation and apply the units after calculation.

(c)

Expert Solution
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Answer to Problem 1PP

The mean is 131 mm Hg

Explanation of Solution

The mean for the provided data set can be computed as:

  Mean=Sum of observationsNumber of observations=11799=131

Thus, the mean is 131 mm Hg.

(d)

To determine

To find: The sum of square.

(d)

Expert Solution
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Answer to Problem 1PP

The value of the sum of square is 2036.

Explanation of Solution

The sum of square is computed as:

    x(xx¯)(xx¯)2
    112-19361
    128-39
    108-23529
    129-24
    125-636
    15322484
    15524576
    13211
    137636

      ( x x ¯ )2=2036

Thus, the sum of square is 2036.

(e)

To determine

To find: The variance for the provided data set.

(e)

Expert Solution
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Answer to Problem 1PP

The variance is 254.2

Explanation of Solution

Variance for the provided data set is computed as:

  s2= ( x x ¯ ) 2 =2036n1=203691=254.5

(f)

To determine

To find: The standard deviation for the provided data set.

(f)

Expert Solution
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Answer to Problem 1PP

The standard deviation is 15.950

Explanation of Solution

Standard deviation for the provided data set is computed as:

  Standard deviation=Variance=254.5=15.950

Thus, the standard deviation is 15.950.

(g)

To determine

To find: The coefficient of variation.

(g)

Expert Solution
Check Mark

Answer to Problem 1PP

The coefficient of variation is 12.176%

Explanation of Solution

The coefficient of variation can be computed as:

  CV=sx¯×100=15.950131×100=12.176

The coefficient of variation is 12.176%.

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