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the height of 14 year old boys in the u.s. is normally distributed with a mean of 64.5 and a standard deviation of 3.1 in what is the normal curve by entering the value of each standard deviation

User Havok
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2 Answers

5 votes

Final answer:

The height of 14-year-old boys in the U.S. follows a normal distribution with a mean of 64.5 inches and a standard deviation of 3.1 inches.

Step-by-step explanation:

The height of 14-year-old boys in the U.S. follows a normal distribution with a mean of 64.5 inches and a standard deviation of 3.1 inches. The normal curve represents the distribution of heights for these boys. To enter the value of each standard deviation, you would simply enter the value of 3.1.

User Orszaczky
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6 votes
I think you're missing the rest of the question, but you can use the standard deviation and a normal curve to determine the likelihood that they'll fall into particular ranges. I've included some below for you.

61.4-67.6 - 68.37% likely to fall within this range.
58.3-70.7 - 95.45% likely to fall within this range.
55.2-73.8 - 99.73% likely to fall within this range.
User Picachieu
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