Which of the following statements are true regarding a normal distribution and a normal curve? Select all that are correct.

Statement #1: A normal curve is unimodal.
Statement #2: A normal distribution with a high standard deviation means that the data is close to the mean value.
Statement #3: In a normal distribution, 95% of the data values lie within two standard deviations of the mean.

Statement #1: A normal curve is unimodal.

Statement #3: In a normal distribution, 95% of the data values lie within two standard deviations of the mean.