Question

a data set has a mean of 50 and a standard deviation of 10. if the...

a data set has a mean of 50 and a standard deviation of 10. if the distribution is symmetrical then what percent is between (20,80)?

choices are: 68%, 75%, 95%, 88.89%, 99.7%

Math   Statistics-And-Probability   
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Answer #1

[ explanation:-

mean () = 50 , sd () = 10

z score of 20 :-

z score of 80 :-

according to the empirical rule approximately 99.7 % of data lies woithin 3 sd from the mean.

so, here, approximately 99.7 % of data are there between (20,80). ]

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.

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