If the mean of the data is 130 with a standard deviation of 10, what percent of the data falls between the values of 100 and 1

MATLAB: An Introduction with Applications
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If the mean of the data is 130 with a standard deviation of 10, what percent of the data falls between the values of 100 and 160?
 
Expert Solution
Step 1

Given μ=130 and σ=10

Consider the probability that the data falls between the values 100 and 160 is,

P100<X<160=P100-μσ<X-μσ<160-μσ                             =P100-13010<z<160-13010                            =P-3<z<3                            =P(z<3)-P(z<-3)                           =0.9973 from the excel function, =NORM.DIST(3,0,1,TRUE)-NORM.DIST(-3,0,1,TRUE)

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