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A normally distributed data set has a mean of 100 and a standar deviation of 5. What percent of data values are bigger than 105 ? 16 % 95% 60 % 32 %

A normally distributed data set has a mean of 100 and a standar deviation of 5. What percent of data values are bigger than 105 ? 16 % 95% 60 % 32 %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 9SGR
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The image presents a statistical question related to a normally distributed data set. The details are as follows: --- **Problem Statement:** A normally distributed data set has a mean of 100 and a standard deviation of 5. **Question:** What percent of data values are bigger than 105? **Answer Choices:** - 16% - 95% - 60% - 32% --- To solve this, you need to understand the properties of a normal distribution and calculate the area under the curve for values greater than 105, using the given mean and standard deviation. This can typically be found using standard normal distribution tables or statistical software.
Transcribed Image Text:The image presents a statistical question related to a normally distributed data set. The details are as follows: --- **Problem Statement:** A normally distributed data set has a mean of 100 and a standard deviation of 5. **Question:** What percent of data values are bigger than 105? **Answer Choices:** - 16% - 95% - 60% - 32% --- To solve this, you need to understand the properties of a normal distribution and calculate the area under the curve for values greater than 105, using the given mean and standard deviation. This can typically be found using standard normal distribution tables or statistical software.
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Step 1

given data 

normal distributionμ =100σ = 5P(x>105) = ?

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