We appreciate your visit to The total scores on the Medical College Admission Test MCAT follow a Normal distribution with mean 25 7 and standard deviation 6 5 What are. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The median of MCAT scores is 25.7, and the first and third quartiles are 21.61 and 29.79, respectively.
The median of a normal distribution is equal to its mean, which in this case is 25.7. To find the first and third quartiles, we need to use the standard deviation.
The first quartile (Q1) is the score below which 25% of the data falls. To find Q1, we need to find the z-score that corresponds to the 25th percentile. Using a standard normal distribution table or calculator, we find that the z-score for the 25th percentile is -0.67.
We can then use the formula:
Q1 = mean + z * standard deviation
Q1 = 25.7 + (-0.67) * 6.5
Q1 = 21.61
The third quartile (Q3) is the score below which 75% of the data falls. To find Q3, we need to find the z-score that corresponds to the 75th percentile. Using a standard normal distribution table or calculator, we find that the z-score for the 75th percentile is 0.67.
We can then use the formula:
Q3 = mean + z * standard deviation
Q3 = 25.7 + (0.67) * 6.5
Q3 = 29.79
To know more about median refer here:
https://brainly.com/question/300591#
#SPJ11
Thanks for taking the time to read The total scores on the Medical College Admission Test MCAT follow a Normal distribution with mean 25 7 and standard deviation 6 5 What are. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
