If the height of students in one school follows a normal distribution with a mean of 160 cm and a standard deviation of 5 cm. What is the percentage of the students with a height of 155-165 cm?

Answer 1

Non Computational Answer:

The range 155-165 is exactly 1 standard deviation from the mean. The problem states the data is normally distributed. By definition, 68% of the data resides between 1 standard deviation of a normal distribution.

Computation Answer:

1) compute the z-scores for the lower (X = 155) and upper (X = 165) range limits using z = (X - μ)/σ

2) use the Z score table below to find values on the left and right of the mean and subtract them from 1