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What is the standard deviation of a normal distribution whose mean is 35 in which an x value of 23 has a z score of 1.63?
Wiki User
∙ 9y ago
An x value that is smaller than the mean cannot have a positive z score.
Wiki User
∙ 9y ago
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How do you use the z-score to determine a normal curve?
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
What kind of distribution is a standard z distribution?
It is the normalised Gaussian distribution. To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution. This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.
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.
A score of 0.60 standard deviation represents what score of percentile?
It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.
In a distribution with a standard deviation of eight an individual score of 42 corresponds to a Z score of -0.5. What is the mean of this distribution?
The mean is 46.
How do you use the z-score to determine a normal curve?
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
What kind of distribution is a standard z distribution?
It is the normalised Gaussian distribution. To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution. This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.
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.
A score of 0.60 standard deviation represents what score of percentile?
It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.
What is the z score of 1.0?
It is the value that is one standard deviation greater than the mean of a Normal (Gaussian) distribution.
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.
The national average SAT score is 1028 with a standard deviation of 92 Assuming a normal distribution what score corresponds to the 90th percentile?
124
Find z score for normal distribution for 50th percentile?
Answer: 0 The z score is the value of the random variable associated with the standardized normal distribution (mean = 0, standard deviation =1). Now, the median and the mean of a normal distribution are the same. The 50 percentile z score = the median = mean = 0.
In a distribution with a standard deviation of eight an individual score of 42 corresponds to a Z score of -0.5. What is the mean of this distribution?
The mean is 46.
The standard deviation of a distribution is 5 if you mutiply each score by 3 what would the new standard deviation be?
It would be 3*5 = 15.
How do your work out z score?
If a random variable X has a Normal distribution with mean M and standard deviation S, then Z = (X - M)/S
What is the z value for an IQ score of 100?
IQ is distributed normally, with a mean of 100 and a standard deviation of 15. The z-score of 100 is therefore:(value-mean)*standard deviation= (100-100)*15= 0More generally, a raw score that is equivalent to the mean of a normal distribution will always have a z-score of 0.
