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The standardised score decreases.

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What happens to the standard score as the standard deviation increases?

The absolute value of the standard score becomes smaller.


How do you find the mean from raw score z score and standard deviation?

To find the mean from a raw score, z-score, and standard deviation, you can use the formula: ( \text{Raw Score} = \text{Mean} + (z \times \text{Standard Deviation}) ). Rearranging this gives you the mean: ( \text{Mean} = \text{Raw Score} - (z \times \text{Standard Deviation}) ). Simply substitute the values of the raw score, z-score, and standard deviation into this formula to calculate the mean.


If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?

This would increase the mean by 6 points but would not change the standard deviation.


Why use the T score?

T-score is used when you don't have the population standard deviation and must use the sample standard deviation as a substitute.


Which is better a score of 92 on a test with a mean of 71 and a standard deviation of 15 or a score of 688 on a test with a mean of 493 and a standard deviation of 150?

score of 92


How do you calculate standard deviation with the help of z-score?

A z-score cannot help calculate standard deviation. In fact the very point of z-scores is to remove any contribution from the mean or standard deviation.


When is a t test better than a z score?

When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.


How do you know if a z score is positive or negative?

A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.


A z score is most affected by?

standard deviation


Can The standard deviation of a distribution be a negative value?

No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.


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.


Why normality is required for standard deviation application?

Because the z-score table, which is heavily related to standard deviation, is only applicable to normal distributions.