Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. How many would you expect to be between 165 and 175 cm tall? Please, round your answer to the nearest integer.
A) 13 people
B) 55 people
C) 38 people
D) 76 people
E) 25 people

Question

Quizplus · Accepted Answer

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Since 165 cm and 175 cm are one standard deviation below and above the mean (170 cm), respectively, we expect about 68% of the people to fall within this range. With 80 people, 68% of 80 is 54.4, which rounds to 55 people.

Suppose That People's Heights (In Centimeters) Are Normally Distributed, with a Mean