We appreciate your visit to Assume that a normal distribution of data has a mean of 13 and a standard deviation of 3 Use the 68 95 99 7 rule. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Using the 68-95-99.7 rule for a normal distribution with a mean of 13 and standard deviation of 3, approximately 95% of the values will lie below 19. This is because 19 is two standard deviations above the mean.
To find the percentage of values that lie below 19 using a normal distribution with a mean of 13 and a standard deviation of three, we can apply the 68-95-99.7 rule (also known as the Empirical Rule). This rule is applicable to distributions that are bell-shaped and symmetric.
First, we calculate the number of standard deviations that 19 is from the mean:
Number of standard deviations = (Value - Mean) / Standard deviation
= (19 - 13) / 3
= 2 standard deviations
According to the rule, approximately 95% of data falls within two standard deviations of the mean. Therefore, since 19 is exactly two standard deviations above the mean, we would expect roughly 95% of the values to be below 19 because the distribution is symmetric about the mean.
Thanks for taking the time to read Assume that a normal distribution of data has a mean of 13 and a standard deviation of 3 Use the 68 95 99 7 rule. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
