To find: To find the percent of scores are between 85 and 95.
The percent of scores are between 85 and 95 is 47.5%
Given information:
Given,the scores on an exam are
Calculation:
One standard deviation below and above the mean are:
Two standard deviation below and above the mean are:
In a normal distribution, the data is distributed equally i.e., 50% on either side of the mean.
The data within the first standard deviation contains 34% of data on each side.
The data between the first standard deviation and second standard deviation contains 13.5% of data on each side.
The data between the second standard deviation and third standard deviation contains 2.35% of data on each side.
Here, 85 is the mean and 95is the second standard deviation on the right.
Hence the percent of scores between 85 and 95 is given by:
Conclusion:
The percent of scores are between 85 and 95 is 47.5%
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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