Q 3.75. Determine the age and sample sta... [FREE SOLUTION]

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Chapter 3: Q 3.75. (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.
Billionaires' Club, Each year, Forbes magazine compiles a list of the $400$ richest Americans. As of September 19, . the top 10 on the list areas in the following table.

Short Answer

Expert verified

Range of the data= $$ 41.0 b i l l i o n s$

Standard deviation of the data $= $ 13.00 b i l l i o n s$

Step by step solution

Step 1. Given information.

We have given data: 66.0, 46.0, 41.0, 31.0, 31.0, 27.9, 26.8, 26.3, 26.1, 25.0

Step 2. To find range of the data.

$R a n g e = M a x . v a l u e - M i n . v a l u e = 66.0 - 25.0 = 41.0$

Step 3. To find mean of the data.

$M e a n = \frac{S u m o f o b s e r v a t i o n}{N u m b e r o f o b s e r v a t i o n} = \frac{66.0 + 46.0 + 41.0 + 31.0 + 31.0 + 27.9 + 26.8 + 26.3 + 26.1 + 25.0}{10} = \frac{347.1}{10} = 34.71$

Step 4. To find standard deviation of the data.

$x$	$(x - x)$	${(x - x)}^{2}$
$66 46 41 31 31 27.9 26.8 26.3 26.1 25$	$31.29 11.29 6.29 - 3.71 - 3.71 - 6.81 - 7.91 - 8.41 - 8.61 - 9.71$	$979.06 127.46 39.56 13.76 13.76 46.38 62.57 70.73 74.13 94.28$

$S \tan d a r d d e v a i a t i o n = \sqrt{\frac{\underset{}{鈭�} {(x - x)}^{2}}{n - 1}} = \sqrt{\frac{1521.71}{10 - 1}} = \sqrt{\frac{1521.71}{9}} = \sqrt{169.08} = 13$

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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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