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Contact [7]
3 years ago
8

A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain,

dieting, and exercise. Here are the metabolic rates of 7 men who took part in a study of dieting. (The units are calories per 24 hours. These are the same calories used to describe the energy content of foods.) 1720 1687 1367 1614 1460 1867 1436 Calculate the mean and standard deviation of the metabolic rates, showing each step in detail.
Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Let m be mean

Mean= sum/ n

Mean= (1720+1687+1367+1614+1460+1867+1436) / 7

m= 11151 / 7

M= 1593

Mean= 1593

Standard deviation

|x-m|^2

For 1st: |1720-1593|^2=8836

For 2nd: |1687-1593|^2=10201

For 3rd: |1367-1593|^2=51076

For 4th: |1614-1593|^2=441

For 5th: |1460-1593|^2=1689

For 6th: |1867-1593|^2=75076

For 7th: |1436-1593|^2=24649

Summation of |x-m|^2 = 171968

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(171968/6)

S.D=sqrt(28661.33)

S.D=169.30

Standard deviation is 169.30

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Answer:

B) 20

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We arrange the terms in ascending order

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So, the minimum is 20

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Step-by-step explanation:

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3 years ago
"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
4 years ago
The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche
serg [7]

Answer:

The measure of the fourth side is \frac{7}{3} .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store =  ( 10 + \frac{5}{6} )  inches

The measure of three sides of rectangle =  ( 8 + \frac{1}{2} )  inches

So, The measure of three sides = length + breadth + length

I,.e   2 L + B =  ( 8 + \frac{1}{2} )  inches      .....1

∵ perimeter =  ( 10 + \frac{5}{6} )  inches

So ,  2 L + 2 B = ( 10 + \frac{5}{6} )  inches

Or,  2 L + B + B = ( 10 + \frac{5}{6} )  inches

Or, ( 8 + \frac{1}{2} ) + B =  ( 10 + \frac{5}{6} )

or, B =  ( 10 + \frac{5}{6} ) -  ( 8 + \frac{1}{2} )

Or, B = 10 - 8 +  (\frac{5}{6} ) -  \frac{1}{2}

or, B = 2 +  \frac{5-3}{6}

or, B = 2 +  \frac{1}{3}

∴   B =  \frac{6 + 1}{3}  =  \frac{7}{3}

Hence The measure of the fourth side is \frac{7}{3} . Answer

7 0
3 years ago
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