Question

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

Answer 1

Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between $(57.5-6.5,57.5+6.5)=(51,64)$.

Answer 2

We can conclude that 68% of the students received scores between

  51 and 64

What is normally distributed data?

Normally distributed data is the distribution of probability which is symmetric about the mean.

What is mean?

• Mean of some observations is actually the average of those observations.
• Mean can be calculated by adding those observations and then dividing it my the total number of observations.

What is standard deviation?

The statistical measurement which indicates how far a group of numbers is from the mean.

How to find between which numbers scores of 68 percent of the student lies ?

• 68% of a normal distribution lies within one standard deviation of 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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