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Q: In the Standard Normal Distribution 2.5 of the data lies above the standardized value of z?

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0.13

It is 0.017864

No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.

It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.

The probability is 0.4448, approx.

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0.13

The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.

2.275 %

The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%

It is 0.017864

Pr(Z > 1.16) = 0.123

A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.

No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.

Your question is confusing. However, I will answer the following question, and if this is not your question, please re-submit What is the area under the standard normal curve for z = -3 to Z = 3? The standard normal has a mean of zero and standard deviation of 1. The answer is: 0.9973 This is the equivalent of saying the probability of Z in the range of -3 to +3 is 0.9973 and above 3 it is 0.0027/2 or 0.00135 and below -3 it is 0.00135. Values of the normal distribution can be found in the Internet and textbooks on statistics.

It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.

The probability is 0.4448, approx.

The answer is about 16% Using the z-score formula(z = (x-u)/sd) the z score is 1. This means that we want the percentage above 1 standard deviation. We know from the 68-95-99.7 rule that 68 percent of all the data fall between -1 and 1 standard deviation so there must be about 16% that falls above 1 standard deviation.

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