Write an inequality that represents all of the data values X, that fall between the values of the mean +/- the standard deviation

-1Z < µ < +1Z

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To write an inequality representing the data values between the mean plus or minus the standard deviation, we can use the following formula:

mean - standard deviation < X < mean + standard deviation

Here's how you can derive this inequality:

1. Calculate the mean (μ) and standard deviation (σ) of the data.
2. Subtract the standard deviation from the mean to find the lower bound: μ - σ.
3. Add the standard deviation to the mean to find the upper bound: μ + σ.
4. Combine the lower and upper bounds with the inequality symbol (<) to represent the range of data values: μ - σ < X < μ + σ.

Remember, the range defined by this inequality includes all data values between the mean minus one standard deviation and the mean plus one standard deviation.