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Intro Stats / AP Statistics

1 week, 1 day ago

# z Scores Professional football quarterback Tom Brady is 193 cm tall. Based on statistics for the males from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?

z Scores Professional football quarterback Tom Brady is 193 cm tall. Based on statistics for the males from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?

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### Video Transcript

in discussion, we're asked to find how many standard deviation is the height about the main. So And given that height of Tom Brady is one end of the cm, and the jet score is 2.44. Now, from normal distribution. From normal distribution, we have, we have the formula for that s that a call to hit minus meal by sigma. Were you equal to mean of this normal distribution? And sigma is standard deviation of normal distribution. No, We have values of Judd had solid a substitute in the equation, so just 2.44 equal to hate, 1 93 minus mu by sigma. Now to find the value of Hit 193, let us write 100 in terms of mu and sigma 2.44 sigma equal to 1 93 minus mu and 1 93 equal to 2.44 sigma bless you. We can see that one and there is nothing but hate. So heads equal to some m time standard deviation plus new. So from the question it is asked death how many standard deviations is high to bombing. So you can clearly say that it is 2.44 times standard deviations about to mean. So from it can be understood from the easily from the figure with the present normal distribution, with this upside down bell diagram where the center value is immune, mean mule And supposedly the height of the given person, his heads. It is here 1993 in this case. So it is that time sigma from the mule. So it is, the answer is yet therefore final answer is 2.44. Thank you.

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