To calculate: The percentage of data between the given numbers 25 to 33.
The percentage of data between numbers 25 and 33 is 68%.
Given:
The data distribution is
Concept used:
In a normal distribution, within one standard deviation of the mean, the data is about 68%, within two standard deviations of the mean, the data is about 95%, and within three standard deviations of the mean, the data is about 99.7%. The Z score of a given data point, tells about how many standard deviations away is the point from the mean and is calculated using the formula as shown below
Calculation:
Given range of data is from 25 to 33.
The z scores are calculated as shown below
Conclusion:
Given data points from 25 to 33 are within one standard deviation from the mean (as Z scores are -1 and 1 respectively). Thus the data between 25 to 33 is about 68% of the data distribution.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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