Question

About 99.7% of sixth-grade students will have

heights between _____ inches and _____ inches. the mean is 58 inches and standard deviation is 2.3 inches.​

Answer 1

About 99.7% of sixth-grade students will have

heights between 51.1 inches and 64.9 inches.

Explanation:

Got it right :/

Answer 2

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

heights between 51.1 inches and 64.9 inches.

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.