Question

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%

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
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Suppose a normally distributed set of data has a mean of 193 and
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A set of exam scores is normally distributed with a mean = 80
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Use the Empirical Rule to complete the following
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68% of the scores are between _____ and ______.
95% of the scores are between ______ and _______.
99.7% of the scores are between _______ and ________.
Get help: Video

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Select one:
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*Data Set Listed Below*
Use the sample mean and standard deviation to find the values
related to the Empirical Rule.
The Empirical
Rule: For a set of data whose distribution is approximately
normal,
about 68% of the data are within one standard deviation of the
mean.
about 95% of the data are within two standard deviations of the
mean.
about 99.7% of the data are within three standard deviations of
the mean.
Use the value of n and the...

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standard deviation of 5.
a. Approximately 95% of the data will be within what two
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