which statement is true of normally distributed data ??

a. approximately 68% of the data falls within 2 standard deviations (+-2) of the mean

b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

c. approximately 75% of the data falls within 2 standard deviations (+-2) of the mean

d. approximately 75% of the data falls within 1 standard deviation (+-1) of the mean

Respuesta :

Answer:

The correct option is b. approximately 68% of the data falls within 1 standard deviation (+-1) of the mean

Explanation:

According to the empirical rule of normal distribution:

1. Approximately 68% of the data falls within 1 standard deviation [tex]\pm 1[/tex] of the mean

2. Approximately 95% of the data falls within 2 standard deviations [tex]\pm 2[/tex] of the mean

3. Approximately 99.7% of the data falls within 3 standard deviations [tex]\pm 3[/tex] of the mean.

Therefore, among the given options, only option b adheres to the empirical rule of the normal distribution. Therefore, the option b is correct