Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 44.1 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 80 words per minute and a standard deviation of 21 words per minute.
a. At what percentile is the child's reading level (round final answer to one decimal place).
b. Create a graph with a normal curve that illustrates the problem.
For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the student's percentile. There is a Normal Distribution Graph generator linked in the resources area.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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