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The answer depends on what the standard deviation is.

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How do you find the three sigma limits?

This is 3 standard deviations above and below the mean.


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

This statement is incorrect. A z-score of -1.5 indicates that the data point is one and a half standard deviations below the mean, not above it. In statistical terms, a negative z-score signifies that the value is less than the average of the dataset. Therefore, a z-score of -1.5 reflects a position to the left of the mean on the normal distribution curve.


What would -2 standard deviation below the mean be?

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.


What is the approximate percentage score of less than 140 using the 68-95-99.7 rule if a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20?

The 68-95-99.7 rule states that in a normally distributed set of data, approximately 68% of all observations lie within one standard deviation either side of the mean, 95% lie within two standard deviations and 99.7% lie within three standard deviations.Or looking at it cumulatively:0.15% of the data lie below the mean minus three standard deviations2.5% of the data lie below the mean minus two standard deviations16% of the data lie below the mean minus one standard deviation50 % of the data lie below the mean84 % of the data lie below the mean plus one standard deviation97.5% of the data lie below the mean plus two standard deviations99.85% of the data lie below the mean plus three standard deviationsA normally distributed set of data with mean 100 and standard deviation of 20 means that a score of 140 lies two standard deviations above the mean. Hence approximately 97.5% of all observations are less than 140.


You got 95 on your IQ test what does it mean?

Well, the average I.Q. is 100, so you're slightly below average. You would still be considered average, though. Deviations of ±5 on IQ scores are considered statistically insignificant, a retest could easily be higher as you might be more relaxed the second time.

Related Questions

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 many of the 100 scores are expected to be below 32.38 (two standard deviations above the mean)?

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.


How do you find the three sigma limits?

This is 3 standard deviations above and below the mean.


What is the analysis or interpretation on this weschsler adult intelligence scale Verbal IQ 82 Performance IQ 70 Full Scale 76?

This is almost 2 standard deviations below average so these numbers indicate a person who will be challenged when it comes to learning academic material.


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.


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.


What percentage of scores falls between the mean and -2 to 2 standard deviations under the normal curve?

In a normal distribution, approximately 68% of scores fall within one standard deviation of the mean (between -1 and +1 standard deviations). About 95% of scores fall within two standard deviations (between -2 and +2 standard deviations). Therefore, the percentage of scores that falls specifically between the mean and -2 to 2 standard deviations is about 95% minus the 50% that is below the mean, resulting in approximately 45%.


How many standard deviations above and below the mean contains 99 percent of the population?

2.576 sd


What percent of the area of the normal curve is above and below 1.96 standard deviations ie. above 1.96 and below 1.96?

Above 1.96: 0.024998 = 2.5% below 1.96: 0.975002 = 97.5%


What does three standard deviation mean?

Three standard deviations refer to a statistical measure that indicates the range within which approximately 99.7% of data points in a normal distribution fall. In other words, if you have a dataset with a mean (average) value and a standard deviation, three standard deviations above and below the mean encompass nearly all the data points, highlighting the spread and variability of the data. This concept is often used in quality control and statistics to identify outliers or extreme values.


What does substandered mean?

It means below the expected standard, or below average


What does a z-score of -1.5 mean?

z-score of a value=(that value minus the mean)/(standard deviation). So a z-score of -1.5 means that a value is 1.5 standard deviations below the mean.