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The Number of Words in the Active Vocabulary of Children

question 20

Essay

The number of words in the active vocabulary of children of a particular age is normally distributed with a mean of 3,000 and a standard deviation of 500.
a. How many words would a child of this age have to know to be in the top 2%? The top 16%? The top 50%? The bottom 2%? Use the normal curve approximation rules and include a sketch.
b. Explain your answers and procedure to a person who is not familiar with the normal curve or normal curve areas.


Definitions:

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