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nick5442
27.01.2020 •
Mathematics
Scores of an iq test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19. use the empirical rule to determine the following. 43 and 157
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Ответ:
About 99.7% IQ scores falls within 43 and 157.
Step-by-step explanation:
According to the empirical rule , if a data follows normal distribution then about 99.7% of the population lies with in three standard deviations from mean.
Given: IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19.
Since , the graph of normal distribution is bell-shaped , it mean that IQ scores follow normal distribution.
Then, About 99.7% IQ scores falls within Mean ± 3 (Standard deviation).
i.e. About 99.7% IQ scores falls within 100± 3(19).
i.e. About 99.7% IQ scores falls within 100- 57 and 100+57.
i.e. About 99.7% IQ scores falls within 43 and 157.
Therefore , by empirical rule
About 99.7% IQ scores falls within 43 and 157.
Ответ:
4n-3=12.
+3 to both sides
4n=15.
15 divided by4=3.75.
Checking Work:
4(3.75)=15
15-3=12.