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Umnica [9.8K]
3 years ago
8

The standard deviation is expressed in absolute terms (i.e. in the same unit of measure as the data: lbs;inches;dollars;etc) whi

le the coefficient of variation is relative measure?
a. True.
b. False.
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

a) True

Step-by-step explanation:

The given statement is true.

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

The standard deviation express the variation of data from the mean and therefore, have the same unit as the data like lbs, inches, dollars, etc.

Coefficient of variation on the other hand is the ratio of standard deviation and mean. It is also a measure of dispersion but since it is a ratio, the units cancel each other.

C.V = \dfrac{s}{\bar{x}}

Thus, coefficient of variation is dimensionless.

Thus, it is a relative measure.

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7uby-step explanation:

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The bisector of angle APQ passes through O and this is illustrated below.

<h3>How to illustrate the information?</h3>

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3 years ago
Wilhelmina wrote a check for $72 to pay her monthly Internet bill, but when
lesantik [10]

Answer:

her bank statement will show that she has $144 less than her checkbook balance

Step-by-step explanation:

let the amount of money in the bank before writing the check be x

after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)

However, the bank correctly records the debit of the $72, resulting  a balance of: $(x-72)

Hence compared to her checkbook,  the bank records will show an amount difference of :

(x-72) - (x + 72)

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3 years ago
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I want to buy a car that cost 36,718 I also have a 9% sales tax to keep in mind
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Answer:

40,022.62

Step-by-step explanation:

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3 years ago
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