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A certain distribution has a mean value of 100 and a standard distribution of 15.
Assuming the values are distributed normally, 95% of values will fall between
and
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Kiwi200381idn Kiwi200381idn

05-05-2021
Mathematics

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1
Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15.
Assuming the values are distributed normally, 95% of values will fall between
and
V
Reset
Next

Sagot :

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Kennaheatherlyidn Kennaheatherlyidn · Answer 1 · 2021-05-10T14:19:52-04:00

Kennaheatherlyidn Kennaheatherlyidn

10-05-2021

Answer: 70, 130

Step-by-step explanation:

Answer Link

SwapnalimalwadeVTidn SwapnalimalwadeVTidn · Answer 2 · 2022-08-11T07:45:17-04:00

In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.

Step-by-step explanation:

A normal distribution with a mean of 100 and a standard distribution of 15 is given.

We will find where 95% of data fall in the given normal distribution.

What is the Empirical rule of 95%?

It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve.

The mean in a normal distribution is the center of the normal curve.

The standard deviation in a normal distribution is the distance from the mean to the required point on either side.

We have,

Mean = 100

Standard deviation = 15

Applying the 95% rule we get,

On the right side of the normal curve

Mean + 2 x standard deviation = 100 + 2x 15 = 100 + 30 = 130.

On the left side of the normal curve,

Mean - 2 x standard deviation = 100 - 2x15 = 100 - 30 = 70.

Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.

Learn more about Normal distribution here:

https://brainly.com/question/14916937

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Sagot :

What is the Empirical rule of 95%?

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