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What is a normal data set?
A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.
What percentage of the data in a normal distribution is represented by 1 SD of a sample?
Assuming that we have a Normal Distribution of Data, approx. 65% of the data will fall within One Sigma.
What percentage of data values of a normal distribution will fall within one standard deviation below the mean?
34.1% of the data values fall between (mean-1sd) and the mean.
How many standard deviations is needed to capture 75 percent of data?
It depends on the shape of the distribution. For standard normal distribution, a two tailed range would be from -1.15 sd to + 1.15 sd.
In a standard normal distribution 95 percent of the data is within plus standard deviations of the mean?
95% is within 2 standard deviations of the mean.
What is a normal data set?
A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.
What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What percent of data falls between 1 Standard deviation below and 2 stand deviations above the mean?
The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%
Why you prefer normal distribution over other distributions in statistics?
we prefer normal distribution over other distribution in statistics because most of the data around us is continuous. So, for continuous data normal distribution is used.
What percentage of the data in a normal distribution is represented by 1 SD of a sample?
Assuming that we have a Normal Distribution of Data, approx. 65% of the data will fall within One Sigma.
What does the normal allow you to measure?
The normal distribution allows you to measure the distribution of a set of data points. It helps to determine the average (mean) of the data and how spread out the data is (standard deviation). By using the normal distribution, you can make predictions about the likelihood of certain values occurring within the data set.
In a standard normal distribution what z value corresponds to 17 percent of the data between the mean and z value?
z = ±0.44
What percentage of data values of a normal distribution will fall within one standard deviation below the mean?
34.1% of the data values fall between (mean-1sd) and the mean.
How many standard deviations is needed to capture 75 percent of data?
It depends on the shape of the distribution. For standard normal distribution, a two tailed range would be from -1.15 sd to + 1.15 sd.
In a standard normal distribution 95 percent of the data is within plus standard deviations of the mean?
95% is within 2 standard deviations of the mean.
What is the probability that a data value in a normal distribution is between a z-score of -1.98 and a z-score of 1.11 Round your answer to the nearest tenth of a percent?
It is 84.3%
Can normal distribution be used if the data is not normal?
You can use a normal distribution to approximate a binomial distribution if conditions are met such as n*p and n*q is > or = to 5 & n >30.
