A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information about their performances can be obtained by analyzing the curve?

Answer:

By analyzing the curve, you can determine that the mean and median score is 70. This means that half of the students scored 70 or above and half scored 70 or below. Since the standard deviation is 15, most students (approximately 68%) scored within one standard deviation of the mean, which is between 55 and 85.