The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between and .
2 answers:
Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between (57.5 - 6.5, 57.5 + 6.5) = (51, 64)
As given, the scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5.
This means that around 68% of the distributed data lies within the ranges of -6.5 to +6.5 of the given standard deviation.
This implies to:
So, the range of scores lies between (51,64)
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