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What if a standard score is 57 and the average is 100 Is that three standard deviations below the mean or almost three?
Wiki User
∙ 10y ago
The answer depends on what the standard deviation is.
Wiki User
∙ 10y ago
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How do you find the three sigma limits?
This is 3 standard deviations above and below the mean.
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.
What is the benefit of knowing 3 standard deviations above and below the mean of data from a process?
If the process can be assumed to follow a Gaussian distribution then 99.7% of the outputs of the process will lie between those two limits. That may be of benefit in quality control if it is a production process.
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.
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 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 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.
What does substandered mean?
It means below the expected standard, or below average
In statistics what shows how far away a measurement is from the mean or average of the set?
The "z-score" is derived by subtracting the population mean from the measurement and dividing by the population standard deviation. It measures how many standard deviations the measurement is above or below the mean. If the population mean and standard deviation are unknown the "t-distribution" can be used instead using the sample mean and sample deviation.
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 does a score of 80 on the Peabody Picture Vacabulary measure mean?
In general, and assuming a reported mean of 100 and an SD of 15 for the PPV norm groups, a score of 80 is 1.3 standard deviations below the mean. It is not the worst possible score, but it does represent a significant deviation from the average performance.
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.
Why are variances squared?
The variances are squared so that all deviations above and below the mean become positive values. Taking the square root of the variance then gives a measure of the differences from the mean: the standard deviaton. Squaring the deviations also makes the bigger differences stand out. Look at 100 squared vs 10 squared.
