PLEASE HELP ME FAST QUESTION IN PHOTO WILL PICK BRAINLIEST IF CORRECT

At least 96.00% of the data in any data set lie within how many standard deviations of the mean? Explain how you arrived at yo

zheka24 [161]

The answer assumes that the question is about the normal distribution.

Answer:

96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the standard normal distribution that permits obtaining any probability from any normally distributed data, doing the following transformation:

$\\ z = \frac{x-\mu}{\sigma}$

That is, in this case, we subtract a given value x from the population mean and then divide the result by the population standard deviation. This is a z-score, and this value is associated with the probability for a standard normal distribution, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the standard normal distribution, there is associated a ubiquitous standard normal table for possible values of z and the corresponding probability. Then, knowing that the data are normally distributed and having both distribution parameters, namely, the population mean and population standard deviation, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that the z-score value tells us how many standard deviations from the mean are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a cumulative standard normal table from the mean.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a cumulative standard normal table from the mean. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

5 0

3 years ago

Kay is making bead necklaces. She has 80 red beads and 64 blue beads. What is the greatest number of identical necklaces she can

RUDIKE [14]

Answer:

32

Step-by-step explanation:

80/2 = 40

64/2 = 32

so she can make about 32

3 0

2 years ago

Answers must be in standard form: (K+4)(3k+2)

kotykmax [81]

Answer:

3kK+2K+12k+8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solve Expression 12(3+5x)+1/4(16x-8)

Lynna [10]

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)

Next, multiply the numbers. You will then have:

36 + 60x + 4x - 2

Now, rearrange the numbers. The variables go in the front. This is what it should look like:

60x + 4x + 36 - 2

Add 60x and 4x, then subtract 36 and 2. This is your answer:

56x + 34

4 0

3 years ago

Find the unite rate there are 12 boxes with 108 items how many items per box?

Butoxors [25]

there are 9 items in each box

7 0

3 years ago