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 . NextReset
Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between \((57.5-6.5,57.5+6.5)=(51,64)\).
We can conclude that 68% of the students received scores between
51 and 64
Normally distributed data is the distribution of probability which is symmetric about the mean.
The statistical measurement which indicates how far a group of numbers is from the mean.
Since standard deviation indicates how far the observations deviates from mean,
∴ Scores of 68% of the students will lie between( 57.5 + 6.5 , 57.5 - 6.5)
= ( 51 , 64 ).
Find out more information about mean and standard deviations here: https://brainly.com/question/26941429
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