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svetlana [45]
2 years ago
13

​Women's heights average 62 inches with a standard deviation of 2.9 inches in a certain study. Use the​ 68-95-99.7 rule to deter

mine the typical ranges of the​ women's heights. In what range will approximately the middle 95​% of the​ women's heights​ lie?
Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Answer:

Middle 95​% of the​ women's heights​ lie between 59.1 inches and 64.9 inches

Step-by-step explanation:

According to the 68-95-99.7 rule ,

  • 1 standard deviation around the mean includes middle 68% of the population
  • 2 standard deviation around the mean includes middle 95% of the population
  • 3 standard deviation around the mean includes middle 99.7% of the population

Therefore Middle 95​% of the​ women's heights​ lie 62±2.9 inches according to the study. That is between 59.1 inches and 64.9 inches.

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