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In a normal distribution, approximately 95% of the scores fall within two standard deviations of the mean. This means that about 5% of the scores will be below two standard deviations above the mean. Therefore, if you have 100 scores, you can expect around 5 scores to be below 32.38.

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3mo ago

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In a normal distribution how frequently would a score occur that is more than 3 standard deviations above or below the mean?

In a normal distribution, approximately 99.7% of scores fall within three standard deviations of the mean, according to the empirical rule. This means that only about 0.3% of scores lie beyond three standard deviations from the mean—0.15% in each tail. Thus, scores more than three standard deviations above or below the mean are quite rare.


How do you find two standard deviations above a mean?

It is mean + 2*standard deviation.


What is the z-score of a value that is 2.08 standard deviations greater than the mean?

The z-score of a value indicates how many standard deviations it is from the mean. If a value is 2.08 standard deviations greater than the mean, its z-score is simply 2.08. This means the value lies 2.08 standard deviations above the average of the dataset.


What Percent of population between 1 standard deviation below the mean and 2 standard deviations above mean?

In a normal distribution, approximately 68% of the population falls within one standard deviation of the mean, and about 95% falls within two standard deviations. Therefore, to find the percentage of the population between one standard deviation below the mean and two standard deviations above the mean, you would calculate 95% (within two standard deviations) minus 34% (the portion below one standard deviation), resulting in approximately 61% of the population.


A z-score of plus 1.6 represents?

It is 1.6 standard deviations above the mean.

Related Questions

In a normal distribution how frequently would a score occur that is more than 3 standard deviations above or below the mean?

In a normal distribution, approximately 99.7% of scores fall within three standard deviations of the mean, according to the empirical rule. This means that only about 0.3% of scores lie beyond three standard deviations from the mean—0.15% in each tail. Thus, scores more than three standard deviations above or below the mean are quite rare.


How do you find two standard deviations above a mean?

It is mean + 2*standard deviation.


How many standard deviations above the mean is the 90th percentile?

It is 1.28


What is the z-score of a value that is 2.08 standard deviations greater than the mean?

The z-score of a value indicates how many standard deviations it is from the mean. If a value is 2.08 standard deviations greater than the mean, its z-score is simply 2.08. This means the value lies 2.08 standard deviations above the average of the dataset.


What Percent of population between 1 standard deviation below the mean and 2 standard deviations above mean?

In a normal distribution, approximately 68% of the population falls within one standard deviation of the mean, and about 95% falls within two standard deviations. Therefore, to find the percentage of the population between one standard deviation below the mean and two standard deviations above the mean, you would calculate 95% (within two standard deviations) minus 34% (the portion below one standard deviation), resulting in approximately 61% of the population.


How do you find the three sigma limits?

This is 3 standard deviations above and below the mean.


A z-score of plus 1.6 represents?

It is 1.6 standard deviations above the mean.


Is an IQ of 149 good for a 10 year old?

An IQ of 149 is very high for anyone. Depending on whether or not the IQ is based on 15 standard deviations or 16 standard deviations, this IQ will put you slightly above or below the highest 99.9% of the population (respectively). An IQ score is supposed to be independent of age, however people with very high IQ test scores as children often test at lower IQ test scores as adults.


If a data point has a corresponding score of -1.5 then it is one and a half standard deviations above the mean value.?

If you are talking about the z-value of a point on the normal curve, then no, it is 1.5 standard deviations BELOW the mean.


How good is an IQ of 155?

Toward the higher end of 3 standard deviations above average.


What percent lies more than 3 standard deviations above the mean?

15/1000


What is 2 Standard Deviations above an average of .1407?

The answer depends on the value of the standard deviation. Without that information, the question cannot be answered.