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12 votes
suppose the height of the members of a population follow its normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 in, 68% of the population would have a height within which range? NO LINKS!!! ​

suppose the height of the members of a population follow its normal distribution. If-example-1
User Brian Kelley
by
2.4k points

2 Answers

25 votes
25 votes

Find upper range and lower range by adding and subtracting standard deviation respectively.

Lower range

  • Mean-Standard deviation
  • 72-3
  • 69

Upper range:-

  • Mean+standard deviation
  • 72+3
  • 75

Option B is correct

User Bill Heitstuman
by
3.2k points
14 votes
14 votes

Answer:

B.
\displaystyle 69\:inches\:to\:75\:inches

Step-by-step explanation:

The Empirical Rule states that sixty-eight percent of the population will be within one standard deviation of the mean in height. Therefore, you perfourm the operations below:


\displaystyle \boxed{75} = 3[1] + 72 \\ \boxed{69} = -3[1] + 72

I am joyous to assist you at any time.

User Cerovec
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3.1k points