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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%
What proportion of a normal distribution falls above a z-score of 1.16?
Pr(Z > 1.16) = 0.123
The value below which 75 percent of the data falls is the definition for what in Six Sigma?
THe 75th percentile
What percent of a normal population is within 2 standard deviations of the mean?
By the definition of standard deviation, 95.46% of the normal population will be within 2 SD of the mean. Explanation: The normal distribution of a population means it follows the "bell curve". The center of this bell curve is the population's mean value. One standard deviation defines two areas (on the left and right side of the central "mean" value) under the bell curve that each have 34.13% of the population. The next standard deviation adds two additional areas under the curve, each having 13.6% of the population. Adding the areas under the curves on both sides gives us (34.13% + 13.6%) x 2 = 95.46%
Why is the standard deviation one?
The standard deviation provides in indication of what proportion of the entire distribution of the sample falls within a certain distance from the mean or average for that sample. If your data falls on a normal (or bell shaped) distribution, a SD of 1 indicates that about 68% of your data points (scores or whatever else) fall within 1 point (plus or minus) of the average (mean) of the data, and 95% fall within 2 points.
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%
What proportion of a normal distribution corresponds to z scores greater than 1.04?
In a normal distribution, approximately 76.4% of the data falls below a z score of 1.04. Therefore, the proportion of the distribution that corresponds to z scores greater than 1.04 is about 23.6%. This can be found using standard normal distribution tables or calculators.
What percentage is the second distribution sextile of a normal bell curve?
By definition, the 1st 6-tile is the point below which 1/6 of the population falls (irrespective of which distribution is involved). The 2nd 6-tile is the point below which 2/6 of the population falls. This is 100 * 1/3 ~ 33.3% of the population.
What proportion of a normal distribution falls between z 1.16 and z 1.16?
0% of a normal (of any) distribution falls between z 1.16 and z 1.16. 1.16 - 1.16 = 0.
What proportion of a normal distribution falls above a z-score of 2.10?
It is 0.017864
What percent of data falls above Q1?
In a standard distribution, the first quartile (Q1) represents the 25th percentile of the data. This means that 25% of the data falls below Q1, and consequently, 75% of the data falls above Q1. Therefore, 75% of the data is above Q1.
What percentage of the area of a normal standard distribution falls between z and z?
Zero.
What proportion of a normal distribution falls between z -1.16 and z plus 1.16?
In a normal distribution, approximately 76.5% of the data falls between z-scores of -1.16 and +1.16. This is calculated using the cumulative distribution function for the standard normal distribution, which gives the area under the curve between these two z-scores. Thus, the area represents the proportion of the data within that range.
What is lymphopenia?
A condition in which the number of lymphocytes falls below normal levels.
What proportion of a normal distribution is located between z equals -1.50 and z equals plus 1.50?
In a normal distribution, approximately 86.64% of the data falls between z equals -1.50 and z equals +1.50. This is derived from the cumulative distribution function, which indicates that about 6.68% of the data lies below z = -1.50 and about 93.32% lies below z = +1.50. Therefore, the proportion of values between these two z-scores is 93.32% - 6.68% = 86.64%.
What percentage of the area of a normal standard distribution falls between z1 and z -1?
2
What proportion of a normal distribution falls above a z-score of 1.16?
Pr(Z > 1.16) = 0.123
