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The Number of Words in the Active Vocabulary of Children

Question 71

Essay

The number of words in the active vocabulary of children of a particular age is normally distributed with a mean of 3000 and a standard deviation of 500.
a.Using the normal curve approximation rules,how many words would a child of this age have to know to be in the top 2%,the top 16%,and the top 98%?
b.Illustrate your answer with a sketch.
c.Explain your answers to a person who is familiar with mean,standard deviation,and Z scores,but not with normal curve percentages.

Correct Answer:

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A)Z = 2,so X = 4000;...

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