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3 years ago

Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets

Mathematics

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

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A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th

Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
37% say yes, hence $p = 0.37$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625$

$p = 0.37(0.0625) = 0.0231$

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0

2 years ago

- 4x + 9y = 9<br> x - 3y = -6

egoroff_w [7]

Answer:

it is -12

Step-by-step explanation:

4 0

2 years ago

Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

$2.5*72=180\ units$

7 0

2 years ago

Read 2 more answers

Jennifer made 5 liter of punch for her for her party her brother made another 750ml if they combine the two batches how many 180

kykrilka [37]

5 liters = 5000ml

If they combine, they would have
5000 + 750 = 5750ml

one serving = 180ml
Number of serving = 5750 ÷ 180 = 31 serving with 170ml remaining

7 0

3 years ago

The amount of mites that survive a new cancer treatment can be modeled by Y = 25(0.5)x Determine which number represents the dec

Maslowich

Answer:

Step-by-step explanation:

it is 0.5 since

y=25(0.5)x

since x is a variable that change usually describes the independent variable, and 25 is the sample that starts with, so 0.50 is the number that represent the decayed rates.

4 0

2 years ago