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2.576 sd

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Q: How many standard deviations above and below the mean contains 99 percent of the population?
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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.


How many standard deviations are 95 percent of measurements away from the mean?

95 percent of measurements are less than 2 standard deviations away from the mean, assuming a normal distribution.


What percent lies more than 3 standard deviations above the mean?

15/1000


What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?

2.275 %


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.


If average height for women is normally distributed with a mean of 65 inches and a standard deviation of 2.5 inches then approximately 95 percent of all women should be between what and what inches?

A normal distribution with a mean of 65 and a standard deviation of 2.5 would have 95% of the population being between 60 and 70, i.e. +/- two standard deviations.


According to the normal probability distribution 95 percent of the values of a normal random variable are contained w in plus or minus how many standard deviations from the mean Why is that important?

Approximately 2 standard deviations (1.96, actually) from the mean. That is important to know that if one has a sample of 1000 values, if one selects a threshold at +/- 2 standard deviations from the mean, then one expects to see about 25 values exceeding those thresholds (on each side of the mean)


What does it mean to have 95 percent confidence in an interval estimate?

It means that 95% of the values in the data set falls within 2 standard deviations of the mean value.


Which Middle Eastern country contains 40 percent of the population and 60 percent of the land area of the region?

Iraq


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%


What area within the Caribbean contains 85 percent of the population of this region?

The Greater Antilles


What percent of the area of the normal curve is above and below 1.96 standard deviations ie. above 1.96 and below 1.96?

Above 1.96: 0.024998 = 2.5% below 1.96: 0.975002 = 97.5%