16.7k views
13 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 NeilK
by
8.1k points

2 Answers

3 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 Beseku
by
8.3k points
9 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 Shehabul Alam
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories