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70. Percentiles and z Scores.notebook April 29, 2013
70. Percentiles and z Scores
Suppose 2 million seniors took the same test and the mean score was 150.  
The standard deviation is 10.
The next year Charlie Mac and Zollie took the test and their scores were 150 
and 171 respectively.  They don't care how close their scores are to the mean, 
but how high their scores were compared to the scores from last year. 
70. Percentiles and z Scores.notebook April 29, 2013
To find Zollie's percentile, we must find her z­score.
Zollie's z score  = x ­ μ
                                  σ
70. Percentiles and z Scores.notebook April 29, 2013
1. The mean weight of the babies born in a metropolitan 
hospital for seven years was 6.8 pounds with a standard 
deviation of 0.8 pound.  If the distribution was approximately 
normal, what percent of babies weighed less than 6.4 pounds?
70. Percentiles and z Scores.notebook April 29, 2013
2. What percent of the babies weighed between 6.0 and 7.0 pounds?
70. Percentiles and z Scores.notebook April 29, 2013
3.  In this same hospital, what percentage of babies weighed more than 7.2 pounds?

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