The area under the normal curve between z = -1 and z = 1 is approximately...

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The area under the normal curve between z = -1 and z = 1 is approximately...

In a standard normal distribution, about 68% of the data lie within one standard deviation of the mean, which is between z = -1 and z = 1. This is a classic rule often called the 68-95-99.7 rule: roughly 68% within ±1, about 95% within ±2, and about 99.7% within ±3. So the area under the curve from -1 to 1 is approximately 0.68, or 68%. The other options correspond to the broader ranges (within ±2 or ±3) or to half of the central area, not the full central region between -1 and 1.

In a standard normal distribution, about 68% of the data lie within one standard deviation of the mean, which is between z = -1 and z = 1. This is a classic rule often called the 68-95-99.7 rule: roughly 68% within ±1, about 95% within ±2, and about 99.7% within ±3. So the area under the curve from -1 to 1 is approximately 0.68, or 68%. The other options correspond to the broader ranges (within ±2 or ±3) or to half of the central area, not the full central region between -1 and 1.

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