Answer:
3 standard deviations
from the mean is 6 pounds to 18 pounds.
Step-by-step explanation:
The above question is solved using empirical rule
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the above question
μ = 12 pounds
σ = 2 pounds
Hence:.
3 standard deviations from the mean is calculated as
μ - 3σ
[12 - 3(2)] pounds
=( 12 - 6) pounds
= 6 pounds
μ + 3σ
[12 + 3(2)] pounds
=( 12 + 6) pounds
= 18 pounds
Hence,3 standard deviations
from the mean is 6 pounds to 18 pounds.
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