Q 3.72 Determine the age and sample sta... [FREE SOLUTION]

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Chapter 3: Q 3.72 (page 114)

Determine the age and sample standard deviation for each of the due sets. For the sample standard deviation round each answer to one more decimal place than that used for the observation.
Hurricanes. An article by D. Schaefer et al. (Journal of Tropical Ecology, Vol16, pp. 189-207) reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experimental Forest in Puerto Rico. The study showed that Hurricane Hugo had a significant impact on stream water chemistry. The following table shows a sample of 10 ammonia fluxes in the first year after Hugo. Data are in kilograms per hectare per year .
$96, 66, 147, 147, 175, 116, 57, 154, 88, 154$

Short Answer

Expert verified

Range of the data= $118 k g$

Standard deviation of the data $= 41.2$

Step by step solution

Step 1. Given information.

We have given data: $96, 66, 147, 147, 175, 116, 57, 154, 88, 154$

Step 2. To find range of the data.

$R a n g e = M a x . v a l u e - M i n . v a l u e = 175 - 57 = 118 k g$

Step 3. To find mean of the data.

$M e a n = \frac{S u m o f t h e o b s e r v a t i o n}{N u m b e r o f o b s e r v a t i o n} = \frac{96 + 66 + 147 + 147 + 175 + 116 + 57 + 154 + 88 + 154}{10} = \frac{1200}{10} = 120$

Step 4. To find standard deviation of the data.

$x$	role="math" localid="1651676806810" $(x - x)$	${(x - x)}^{2}$
$99 66 147 147 175 116 57 154 88 154$	$- 24 - 54 27 27 55 - 4 - 63 34 - 32 34$	$576 2916 729 729 3025 16 3969 1156 1024 1156$

$S \tan d a r d d e v i a t i o n = \sqrt{\frac{\underset{}{鈭�} {(x - x)}^{2}}{n - 1}} = \sqrt{\frac{15296}{9}} = 41.22567 = 41.2$

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find range of the data.

Step 3. To find mean of the data.

Step 4. To find standard deviation of the data.

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