Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

In a standard normal distribution, [tex][tex]$95\%$[/tex][/tex] of the data is within [tex][tex]$\pm$[/tex][/tex] how many standard deviations of the mean?

A. 0
B. 1
C. 2
D. 3

Sagot :

GinnyAnswer
In a standard normal distribution, the empirical rule (also known as the 68-95-99.7 rule) is a key principle that helps us understand the spread of data around the mean. According to the empirical rule:

1. Approximately 68% of the data falls within ±1 standard deviation of the mean.
2. Approximately 95% of the data falls within ±2 standard deviations of the mean.
3. Approximately 99.7% of the data falls within ±3 standard deviations of the mean.

In this case, we are interested in the range where 95% of the data lies within. According to the empirical rule, 95% of the data in a standard normal distribution is within ±2 standard deviations of the mean.

Therefore, the correct answer is 2.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.