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What is the mean and standard deviation of a distribution of T-scores?

The answer depends on the degrees of freedom (df). If the df > 1 then the mean is 0, and the standard deviation, for df > 2, is sqrt[df/(df - 2)].


When to you use a z-scores or t-scores?

T score is usually used when the sample size is below 30 and/or when the population standard deviation is unknown.


Assume that aset of test scores is normally distributed with a mean of 100 and a standard deviation of 20 use the 68-95-99?

68% of the scores are within 1 standard deviation of the mean -80, 120 95% of the scores are within 2 standard deviations of the mean -60, 140 99.7% of the scores are within 3 standard deviations of the mean -40, 180


What is the standard deviation for Woodcock-Johnson III Tests of achievement?

The standard deviation for the Woodcock-Johnson III Tests of Achievement is typically set at 15. This is consistent with many standardized tests, which use a mean of 100 and a standard deviation of 15 to represent scores on a normal distribution. This allows for the interpretation of individual test scores in relation to the broader population.


How are scores distributed if the mean is 100 and the standard deviation is 15?

If the mean score is 100 and the standard deviation is 15, the distribution of scores is likely to follow a normal distribution, also known as a bell curve. In this distribution, approximately 68% of scores fall within one standard deviation of the mean (between 85 and 115), about 95% fall within two standard deviations (between 70 and 130), and about 99.7% fall within three standard deviations (between 55 and 145). This pattern indicates that most scores cluster around the mean, with fewer scores appearing as you move away from the center.

Related Questions

Is the different between an individual score and mean of the group of scores is called deviation?

No, it is called the absolute deviation.


What is the mean absolute deviation of the bowling scores?

This question cannot be answered unless the bowling scores are provided.


If the standard deviation of 10 scores is 0?

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


If standard deviation of 10 scores is 0?

All the scores are equal


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

mean


What is standardized variables?

A variable that has been transformed by multiplication of all scores by a constant and/or by the addition of a constant to all scores. Often these constants are selected so that the transformed scores have a mean of zero and a variance (and standard deviation) of 1.0.


How do you create five scores with a mean of 10 and a standard deviation of 0?

Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.


What does standard deviation show us about a set of scores?

Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.


What is the mean and standard deviation of a distribution of T-scores?

The answer depends on the degrees of freedom (df). If the df > 1 then the mean is 0, and the standard deviation, for df > 2, is sqrt[df/(df - 2)].


Why does the standard deviation get smaller as the individual in a group score more similarly on a test?

Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller.


Is the variance of a group of scores the same as the squared standard deviation?

The standard deviation is defined as the square root of the variance, so the variance is the same as the squared standard deviation.


Why standard deviation scores over mean deviation as a more accurate measures of dispersion?

It is not. And that is because the mean deviation of ANY variable is 0 and you cannot divide by 0.