Aset of data is normally distributed with a mean of 64 and a standard deviation of 2.5. what percent of the data is in the interval 64-66.5?

34.13%

Step-by-step explanation:

We know that the mean is:

And the standard deviation is:

The probability that a randomly selected X data is between 64 and 66.5 is:

Now we calculate the Z-score

For X = 64 the Z-score is:

For X = 66.5 the Z-score is:

Looking in the normal table we have to:

The percentage is:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

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