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It depends what percentage of the total data you want to embrace. 99.73% of the total distribution lies between minus to plus 3 standard deviations. That's usually the benchmark range.

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Q: How many standard deviation tend to cover the entire range of scores in a distribution?
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What is the mean and standard deviation of a distribution of T-scores?

T-scores have a mean of 50 and a standard deviation of 10. These values are fixed and do not change regardless of the distribution of T-scores.


What statistic is the average amount by which the scores in a distribution vary from the mean?

Standard deviation


What percent of the scores in a normal distribution will fall within one standard deviation?

It is 68.3%


How many of scores will be within 1 standard deviation of the population mean?

Assuming a normal distribution 68 % of the data samples will be with 1 standard deviation of the mean.


If the standard deviation of 10 scores is 0?

If the standard deviation of 10 scores is zero, then all scores are the same.


Will increasing the frequency of scores in the tails of a distribution effect the standard deviation How or Why?

Yes. It will increase the standard deviation. You are increasing the number of events that are further away from the mean, and the standard deviation is a measure of how far away the events are from the mean.


How much is 84 percentile equals mean plus 1 standard deviation or mean plus 1.4 standard deviation. Can you give me reference also please?

The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.


How do you calculate Z and T scores?

z=(x-mean)/(standard deviation of population distribution/square root of sample size) T-score is for when you don't have pop. standard deviation and must use sample s.d. as a substitute. t=(x-mean)/(standard deviation of sampling distribution/square root of sample size)


If standard deviation of 10 scores is 0?

All the scores are equal


Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?

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.


The standard deviation is the square root of the average squared deviation of scores from the?

mean


1 The average of the squared deviation scores from a distribution mean?

Variance