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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.
Which z score corresponds to a higher value within a distribution of values -1.4 or 1.00?
A z-score indicates how many standard deviations a value is from the mean of a distribution. A z-score of 1.00 is positive, meaning it is above the mean, while a z-score of -1.4 is negative, indicating it is below the mean. Therefore, a z-score of 1.00 corresponds to a higher value within the distribution compared to a z-score of -1.4.
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.
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 determine your sample score on the comparison distribution?
To determine your sample score on the comparison distribution, you first need to calculate the sample mean and standard deviation. Then, you can use these statistics to find the z-score, which indicates how many standard deviations your sample mean is from the population mean. By comparing this z-score to critical values from the standard normal distribution, you can assess the significance of your sample score in relation to the comparison distribution.
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.
Which z score corresponds to a higher value within a distribution of values -1.4 or 1.00?
A z-score indicates how many standard deviations a value is from the mean of a distribution. A z-score of 1.00 is positive, meaning it is above the mean, while a z-score of -1.4 is negative, indicating it is below the mean. Therefore, a z-score of 1.00 corresponds to a higher value within the distribution compared to a z-score of -1.4.
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 does the z stand for in distribution in statistics?
In statistics, the "z" in a z-distribution refers to a standardized score known as a z-score. This score indicates how many standard deviations an individual data point is from the mean of a distribution. The z-distribution is a specific type of normal distribution with a mean of 0 and a standard deviation of 1, allowing for comparison of scores from different normal distributions.
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.
