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What happens to mean when any score in a distribution is changed?
Wiki User
∙ 14y ago
If there are n scores and one score is changed by x then the mean changes by x/n.
Wiki User
∙ 14y ago
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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.
What is the shape of a z-score distribution?
The standard normal distribution or the Gaussian distribution with mean 0 and variance 1.
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.
What does a z score of -4 indicate?
It means that your raw score is four standard deviations below the mean. This will mean different things depending on the context of the question. If you're looking at the probability of a single score occurring in a given distribution (say, a score of 40 in a distribution of scores with a mean of 80 and a std. dev. of 10), then this means that the probability of getting a 40 is very, very low--less than .00002.
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?
An x value that is smaller than the mean cannot have a positive z score.
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.
What is true if someone has a z score of zero?
Z score of 0 is the mean of the distribution.
What is the shape of a z-score distribution?
The standard normal distribution or the Gaussian distribution with mean 0 and variance 1.
What is the mean and SD of a Z score?
Mean = 0 SD = 1 The whole point of converting to a Z-score is that you have a Standard Normal distribution ie a N(0, 1) distribution.
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.
What is the z score for a score of 75 if the mean of the distribution is 85 and the standard deviation is the distribution is 5?
z = (75 - 85)/5 = -10/5 = -2
What is the mean of a normal distribution?
It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.
After 5 points are added to every score in a distribution the mean is calculated and found to be m equals 30 What was the value of the mean for the original distribution?
35
Under the normal curve if the mean of the distribution of raw scores is equal to 68 then its equivalent z score is equal to?
The z score for the mean is always 0.
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.
In a distribution with a SD equals 20 a score that above the mean by 10 points will have a z score equals 1.00 true or false?
False.
What does a z score of -4 indicate?
It means that your raw score is four standard deviations below the mean. This will mean different things depending on the context of the question. If you're looking at the probability of a single score occurring in a given distribution (say, a score of 40 in a distribution of scores with a mean of 80 and a std. dev. of 10), then this means that the probability of getting a 40 is very, very low--less than .00002.
