.IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an lQ of 160. Arnav Sharma, a 12-year old boy gained a score of 162. 14 i. Convert Einstein's IQ score and Sharma's score to their corresponding Z-scores. ii. What is the difference between the Z-score of Einstein and Z-score of Sharma? iii. How many standard deviations are Einstein's and Sharma's Z-scores?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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c. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein
reportedly had an Q of 160. Arnav Sharma, a 12-year old boy gained a score
of 162.
14
i. Convert Einstein's IQ score and Sharma's score to their corresponding
Z-scores.
ii. What is the difference between the Z-score of Einstein and Z-score of
Sharma?
iii.
How many standard deviations are Einstein's and Sharma's Z-scores?
Transcribed Image Text:c. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an Q of 160. Arnav Sharma, a 12-year old boy gained a score of 162. 14 i. Convert Einstein's IQ score and Sharma's score to their corresponding Z-scores. ii. What is the difference between the Z-score of Einstein and Z-score of Sharma? iii. How many standard deviations are Einstein's and Sharma's Z-scores?
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