Question

Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 64.1 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 100 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.

c. Make an argument to the parents of the child for the need for remediation. Structure your essay as follows:

1. A basic explanation of the normal distribution

2.Why the normal distribution might apply to this situation

3.Describe the specific normal distribution for this situation (give the mean and standard deviation)

4.Interpret the answer to part a. including a definition of percentile.

5.Explain how the graph created in part b. represents the child's reading level.

6.Use the answers to parts a. and b. to emphasize the gravity of the situation.

7.Give a suggested course of action.

Answer 1

Solution:-

Given that,

and

A)

At what percentile

=1-9554

4.46 Percentile.

B)

C)

Students who score=100 got 50% percentile.

It is bell shaped curve.

Chid's reading level 64.1 word per minute which he or she got 4.46 percentile which more than 95.54% of students score more than him/her.