Question

About 99.7% of sixth-grade students will have

Answer 1

Answer:

51.1

64.9

Step-by-step explanation:

Answer 2

Answer: About 99.7% of sixth-grade students will have

heights between 51.1 inches and 64.9 inches.

Step-by-step explanation:

According to the empirical rule, 99.7% of data falls within the three standard deviations from the mean.

Given : Mean: $\mu=58\text{ inches}$

Standard deviation:=  $\sigma=2.3\text{ inches}$

Then, the  99.7% of sixth-grade students will have  heights between

$\mu-3\sigma$ inches and $\mu+3\sigma$ inches

i.e. $58-3(2.3)$ inches and $58+3(2.3)$ inches

i.e. 51.1 inches and 64.9 inches.