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z scores

IQ scores in the population have a mean of 100 and a standard deviation of 15. If Bob has an IQ of 83, what percent of people have scores lower than him? If Sally has an IQ of 97, what percent of people have scores higher than her? What percent of people have IQs between 80 and 120?

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Tovi Hansen

Lvl 1
5y ago
Updated: 10/17/2024

If a random variable X has a normal distribution with mean m and standard error s, then the z-score corresponding to the value X = x is (x - m)/s.

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Jamir Kuhn

Lvl 10
4y ago

What else can I help you with?

Related Questions

When to you use a z scores or t scores?

If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.


Are normal scores the same as z-scores?

They should be.


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True or False, One major advantage of transforming X values into z-scores is that the z-scores always form a normal distribution


What is another term for z scores?

Another term for z-scores is standard scores. Z-scores indicate how many standard deviations a data point is from the mean of its distribution, allowing for comparison between different datasets. They are commonly used in statistics to standardize scores and facilitate further analysis.


Is the Z-test the same as Z-scores?

No, the Z-test is not the same as a Z-score. The Z-test is where you take the Z-score and compare it to a critical value to determine if the null hypothesis will be rejected or fail to be rejected.


Are all standard scores z-scores in statistics?

Yes, although the z-scores associated with p-values of 0.01 and 0.05 have special significance, perhaps mostly for historical reasons, all possible z-scores from negative infinity to positive infinity have meaning in statistical theory and practice.


In a standard normal distribution about percent of the scores fall above a z score of 300?

A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.


What is the formula for z scores?

Z = (x minus mu) divided by sigma.


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z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.


What z-score separates the top 10 percent from the rest of the scores?

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Do z-scores have a units of measure?

No, they do not. They are pure numbers.


How can you use a z score to determine outliers?

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