Normal Distribution: 3 Sigma Rule (68-95-99.7)
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- 3 Sigma Rule Also known as the "empirical rule," the 3 sigma rule provides a quick way to analyze data that follows a normal distribution. What it entails: 68% of the observatio…
By Karen Shen, Alex Federspiel, Anusha Rahman
- (Video) The Normal Distribution and the 68-95-99.7 Rule by patrickJMT In this video by patrickJMT, you can learn about the normal distribution and the 68−95−99.768-95-99.768−95−…
By Anusha Rahman
- The Three Sigma Rule We know that a normal distribution is a data pattern that looks like a bell-shaped curve. The mean, μ\muμ, is at the center of the curve. The standard devia…
By Anusha Rahman
- The Three Sigma Rule The 3 sigma rule is a rule that helps us understand how data is spread out in a data set. It is also called the 68-95-99.7 rule or the empirical rule. The e…
By Anusha Rahman
Problems 15
- The temperature in a classroom follows a normal distribution with mean 70 degrees Fahrenheit with a standard deviation of 3 degrees. The percentage probability of the temperatur…
- The age of a community college student follows a normal distribution with mean of 30 years old with a standard deviation of 10. The percentage probability of a community college…
- The height of 4 year olds follows a normal distribution with mean 40 inches tall with a standard deviation of 4 inches. The percentage probability of a 4 year old's height being…
- The weights of 50 year old tortoises at a particular tortoise sanctuary average 70 lbs with a standard deviation of 2.5 lbs. Assuming the weights follow a normal-shaped distribu…
- A study examined the height of adult men between the age 181818 to 242424 and concluded that the mean height was 707070 inches and the standard deviation was 2.82.82.8 inches. W…
- SAT math scores are normally distributed with a mean of 500500500 and a standard deviation of 909090. What percent of the scores lie between 340340340 and 680680680?
- The average time spent playing a video game is normally distributed with a mean of 333 hours and a standard deviation of 0.50.50.5 hours. What proportion of the time spent playi…
- For a normal distribution, if the mean is 202020 and the standard deviation is 111111, what is the range of 95%95\%95% observation?
- A study examined the weight of adult women between the age 181818 to 252525 and concluded that the mean weight was 145145145 lbs and the standard deviation was 101010 lbs. What …
- For a normal distribution, if the mean is 250025002500 and the standard deviation is 125012501250, what percent of values lie between −1250-1250−1250 and 625062506250?
- For a normal distribution, if the mean is −5-5−5 and the standard deviation is 333, what percent of values lie between −8-8−8 and −2-2−2?
- The scores for an IQ test are normally distributed with a mean of 100100100 and a standard deviation of 151515. Use the 333 sigma to figure out about what percent of people have…
- The heights of women between 202020 and 292929 years have a normal distribution with a mean of 646464 inches and a standard deviation of 2.72.72.7 inches. Estimate the range of …
- XXX is normally distributed with a mean μ of 323232 and a standard deviation σ of 333. Find the probability of XXX being below 292929.
- The annual salaries of employees in a company are normally distributed with a mean of 60,000\60,00060,000 and a standard deviation of 20,000\20,00020,000. What percent of employ…