About 68% of sixth-grade students will have heights between inches and inches.

About 68% of sixth-grade students will have heights between 55.7 inches and 60.3 inches.

Step-by-step explanation:

The Empirical rule, also the 68–95–99.7 rule, states that for a population that is approximately normal or symmetrical, nearly all of the data values will lie within three standard deviations of the mean;

68% of data values will fall within one standard deviation from the mean

95% of data values will fall within two standard deviation from the mean

99.7% of data values will fall within three standard deviation from the mean

Now, assuming the heights of the sixth-grade students are approximately normal 68% of these students will have their heights fall within one standard deviation from the mean;

mean ± standard deviation

58 ± 2.3 = (55.7, 60.3)

Therefore, about 68% of sixth-grade students will have heights between 55.7 inches and 60.3 inches.

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