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Answer :
The percentage of the population between 176 and 192 cm in height, according to the Empirical Rule, is approximately 68%. The correct answer is option 2.
According to the Empirical Rule:
Approximately 68% of the population falls within one standard deviation of the mean.
Approximately 95% of the population falls within two standard deviations of the mean.
Approximately 99.7% of the population falls within three standard deviations of the mean.
In this case, the mean height of basketball players is 184 cm with a standard deviation of 4 cm. To find the percentage of the population between 176 and 192 cm in height, we need to consider the range within one standard deviation of the mean.
Within one standard deviation of the mean:
184 - 4 = 180 (lower limit)
184 + 4 = 188 (upper limit)
The range within one standard deviation of the mean is from 180 cm to 188 cm.
To determine the percentage of the population within this range, we refer to option 2: 68%. According to the Empirical Rule, approximately 68% of the population would fall within this range
Therefore, the correct answer is option 2: 68%.
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