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The mean and standard deviation of the sample data collected on continuous variable x are −0.25 and 0.03, respectively. The following table shows the relative frequencies of the data in the given intervals.

Based on the table, do the data support the use of a normal model to approximate population characteristics?

The mean and standard deviation of the sample data collected on continuous variable x are 025 and 003 respectively The following table shows the relative freque class=

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Answer:

Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.

Explanation:

Cricetus

Yes, the data support the use of a normal mode.

According to the question,

The values that are one standard deviation away are:

= [tex]0.33 + 0.36[/tex]

= [tex]0.69[/tex]

As per the empirical rule, the value will be:

= [tex]0.68[/tex]

Consequently, with two standard deviations, the quantities have always been 0.95, and according to the empirical rule. So the empirical rule followed by the data.

Thus the above response is correct.

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