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3 years ago

Describe how the range of a data set can help describe its variability.

2 answers:

8 0

The range can help describe a data set by evaluating the whole of a data set, showing spread within a data set, and comparing the spread between similar data sets. Simply put, it is the amount of variation from the lowest number to the highest and indicates the size of the statistical dispersion.

100% on Edge, used Google to come up with the answer.

katovenus [111]3 years ago

6 0

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm <em> low variability</em>

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm <em>high variability </em>

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Explain why an inverse variation function is not the best model for the data set

dmitriy555 [2]

Answer: The cause of exponential decay. Sowwy if im wrong

Step-by-step explanation:

An inverse variation function is not the best model because the data points show an exponential decay. The fact that this is true for ALL of the points shown indicates we have an inverse variation of the form x*y = k where k = 60 in this case. ... For any inverse variation, as x increases, y will decrease (and vice versa).

5 0

4 years ago

Complete the square to solve the equation below

frutty [35]

$x^2+x= \frac{7}{4}$

Take one-half of the coefficient of x and square it, then add it to both sides.

$x^2+x+ (\frac{1}{4}) =\frac{7}{4}+ (\frac{1}{4})$

$x^2+x+(\frac{1}{4})= 2$

$\left(x+\frac{1}{2}\right)^2=2$

$x+\frac{1}{2}=\pm \sqrt{2}$
-----------------------------------------------------------------
$x+\frac{1}{2}=- \sqrt{2}$
$x=-\frac{1}{2}- \sqrt{2}$ <=

AND

$x+\frac{1}{2}= \sqrt{2}$
$x= \sqrt{2}-\frac{1}{2}$ <=

5 0

3 years ago

Which of these would you most likely find on a ruler using the metric system? A. Centimeters B. Kilometers C. Kilofeet D. Microm

maria [59]

A. Centimeters

it's the one that isn't inches

4 0

4 years ago

Solve for (a+1)/2=1/a.

LenKa [72]

Hello!

To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.

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First, move the /2 to the other side of the equation.

(a+1)/2 = 1/a

a+1 = 2/a

Next, multiply both sides by a.

a+1 = 2/a

$a^{2} +a=2$

And then subtract both sides by 2. This will get you to a quadratic equation.

$a^{2} +a=2$

$a^{2} +a-2=0$

Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.

Therefore:

$a^{2} +a-2=0$

(a + 2)(a - 1) = 0

To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.

Therefore, a = -2, or a = 1.

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Check your work:

(-2 + 1)/2 = 1/-2

-1/2 = -1/2

(1 + 1)/2 = 1/1

2/2 = 1/1

1 = 1

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Hope this helps!

6 0

3 years ago

Is Y=7 x4r a linear or nonlinear fuction

Ilya [14]

Linear function it has a variable

3 0

3 years ago