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What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What is the z-score of a value that is 2.08 standard deviations greater than the mean?
The z-score of a value indicates how many standard deviations it is from the mean. If a value is 2.08 standard deviations greater than the mean, its z-score is simply 2.08. This means the value lies 2.08 standard deviations above the average of the dataset.
Given an unknown What percentage of data falls within 0.75 standard deviation of the mean?
In a normal distribution, approximately 57.5% of the data falls within 0.75 standard deviations of the mean. This is derived from the cumulative distribution function (CDF) of the normal distribution, which indicates that about 27.5% of the data lies between the mean and 0.75 standard deviations above it, and an equal amount lies between the mean and 0.75 standard deviations below it. Therefore, when combined, it results in around 57.5% of data being within that range.
Is empirical rule a characteristic of a normal distribution?
Yes, the empirical rule, also known as the 68-95-99.7 rule, is a characteristic of a normal distribution. It states that approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and around 99.7% lies within three standard deviations. This rule helps in understanding the spread and variability of data in a normally distributed dataset.
What percentage is 1 standard deviation?
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. This means that around 34% of the data lies between the mean and one standard deviation above it, while another 34% lies between the mean and one standard deviation below it.
What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What is the z-score of a value that is 2.08 standard deviations greater than the mean?
The z-score of a value indicates how many standard deviations it is from the mean. If a value is 2.08 standard deviations greater than the mean, its z-score is simply 2.08. This means the value lies 2.08 standard deviations above the average of the dataset.
Given an unknown What percentage of data falls within 0.75 standard deviation of the mean?
In a normal distribution, approximately 57.5% of the data falls within 0.75 standard deviations of the mean. This is derived from the cumulative distribution function (CDF) of the normal distribution, which indicates that about 27.5% of the data lies between the mean and 0.75 standard deviations above it, and an equal amount lies between the mean and 0.75 standard deviations below it. Therefore, when combined, it results in around 57.5% of data being within that range.
Describe the properties of a normal distribution?
A normal distribution is symmetric and when looked at on a graph, the graph looks like a bell shaped curve. Approximately 95 percent of its values should lie within two standard deviations of the mean. Frequency of the data lies mostly in the middle of the curve.
In the Standard Normal Distribution 2.5 of the data lies above the standardized value of z?
No, they do not.
Is empirical rule a characteristic of a normal distribution?
Yes, the empirical rule, also known as the 68-95-99.7 rule, is a characteristic of a normal distribution. It states that approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and around 99.7% lies within three standard deviations. This rule helps in understanding the spread and variability of data in a normally distributed dataset.
How does the bell curve relates to the empirical rule?
The bell curve, also known as the normal distribution, is a symmetrical probability distribution that follows the empirical rule. The empirical rule states that for approximately 68% of the data, it lies within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations when data follows a normal distribution. This relationship allows us to make predictions about data distribution based on these rules.
How many standard deviation tend to cover the entire range of scores in a distribution?
Type your answer here... It depends what percentage of the total data you want to embrace. 99.73% of the total distribution lies between minus to plus 3 standard deviations. That's usually the benchmark range.
What percentage is 1 standard deviation?
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. This means that around 34% of the data lies between the mean and one standard deviation above it, while another 34% lies between the mean and one standard deviation below it.
What mechanical layer lies above core?
Mesosphere lies above the core.
What is the layer of the earth that lies above the mantle?
The Earth's crust lies above the mantle.
What proportion of the scores in a normal distribution is approximately between z -1.16 and z 1.16?
Between z = -1.16 and z = 1.16 is approx 0.7540 (or 75.40 %). Which means ¾ (0.75 or 75%) of the normal distribution lies between approximately -1.16 and 1.16 standard deviations from the mean.
