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What percentage of the area falls below the mean?
The area between the mean and 1 standard deviation above or below the mean is about 0.3413 or 34.13%
What is the percentage of the population under the standard distribution curve between the Z scores of negative 1.96 and positive 1.96?
95% of the area falls between Z = -1.96 & 1.96.
When to use t statistic instead of z statistic for calculating whether a parameter falls above or below the lower confidence interval?
the standard rule of thumb is to use the t-statistic when the sample size is less than 30 or if the population standard deviation is unknown/estimated from sampling data and to use the z-statistic for 30 and above.
What percentage of all scores falls below a z-score of 1?
84.13%
What percentage of the data values represented on a box plot falls between the lower quartile and the upper quartile?
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What percentage of the data falls outside 1 standard deviation of the mean?
One standard deviation for one side will be 34% of data. So within 1 std. dev. to both sides will be 68% (approximately) .the data falls outside 1 standard deviation of the mean will be 1.00 - 0.68 = 0.32 (32 %)
What percentage of the area falls below the mean?
The area between the mean and 1 standard deviation above or below the mean is about 0.3413 or 34.13%
What is the percentage of population with an IQ of 128?
Approximately 6.68% of the population falls within one standard deviation above the mean IQ score of 100, which includes an IQ of 128.
Scores on the sat exam approximate a normal distribution with µ equals 500 and sd equals 100 use this distribution to determine the percentage of sat scores that fall above 600?
The answer is about 16% Using the z-score formula(z = (x-u)/sd) the z score is 1. This means that we want the percentage above 1 standard deviation. We know from the 68-95-99.7 rule that 68 percent of all the data fall between -1 and 1 standard deviation so there must be about 16% that falls above 1 standard deviation.
A set of 1000 values has a normal distribution the mean of the data is 120 and the standard deviation is 20 how many values are within one standard deviaiton from the mean?
The Empirical Rule states that 68% of the data falls within 1 standard deviation from the mean. Since 1000 data values are given, take .68*1000 and you have 680 values are within 1 standard deviation from the mean.
What percentage of the area of a normal standard distribution falls between z and z?
Zero.
What is the area within the normal curve between -1SD and plus 1 SD?
The area within the normal curve between -1 standard deviation (SD) and +1 SD is approximately 68%. This means that about 68% of the data falls within one standard deviation of the mean in a normal distribution.
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
What percentage of the area of a normal standard distribution falls between z1 and z -1?
2
What area under the standard normal curve falls outside the z-value -2.5 and 2.5?
0.0124
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 percentage of the area of a normal standard distribution falls between z-1 and z -0.65?
-0.35
