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enyata [817]
3 years ago
8

Suppose that a histogram of a data set is approximately symmetric and "bell shaped". Approximately what percent of the observati

ons are within one standard deviation of the mean?

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

<em>Suppose that a histogram of a data set is approximately symmetric and "bell shaped". approximately what percent of the observations are within one standard deviation of the mean? </em>

<em>a. 99.7% </em>

<em>b. 50% </em>

<em>c. 68% </em>

<em>d. 95%</em>

Option c is the right choice where, 68% of the observations are within 1 standard deviation.

Step-by-step explanation:

Given :

Standard deviation of the population = \sigma

Average value for the population,(mean) = \mu

Score or the data point to be converted = x

So,

Z-score formula = \frac{x-\mu}{\sigma}

If the Z-score is positive, it means the score is above the average value, whereas a negative Z-score indicates the score is below the average.

According to the question within 1 standard deviation (SD) of the mean is the \mu-\sigma to  \mu+\sigma values from the bell shaped diagram.

<em>One of a diagram is attached below.</em>

And

The 68-95-99.7 Rule/Three sigma rule/Empirical rule states that, for normally distributed samples:

  • This rule is often used in statistics for forecasting.
  • 68% of the measures are within one standard deviation of the mean.
  • 95% fall within two standard deviations.
  • 99.7% fall within three standard deviations.

So,

Our final answer is of 68%,as of the measures are with in one SD.

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antoniya [11.8K]

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

<u>Given information</u>

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

<u>Given formula</u>

Circumference = 2πr

<u>Substitute values into the formula</u>

Circumference = 2 · (3.14) · (1.25)

<u>Simplify by multiplication</u>

Circumference = (2.5) · (2.14)

Circumference = \boxed {7.85 inches}

Hope this helps!! :)

Please let me know if you have any questions

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Find the simplified product where x&gt;=0
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Answer:

The last one

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in the second part, x2 could to pull out as x

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Beth started a workout program. On Monday, she did 15 sit-ups.
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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i
Marrrta [24]

Answer: (x+10)^2+(y+6)^2=121

Step-by-step explanation:

The equation of a circle in the general form is:

 ax^{2}+by^2+cx+dy+e=0

The equaton of  a circle in standard form is:

(x-h)^2+(y-k)^2=r^2

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

x^{2}+y^2+20x+12y+15=0

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121

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Adam is carrying books to the classroom for his teacher. Each books weighs 3.85 pounds. If he carries 4 books, how many pounds i
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Adam is carrying 15.4 pounds because 3.85*4=15.4
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