Explain the meaning of the following percentiles in pares (a) and (n). (a) The 5

Question

Explain the meaning of the following percentiles in pares (a) and (n). (a) The 5th percentile of the weight of males 36 months of age in a certain city is 12.0 kg. (b) The 95th percentile of the length of newborn females in a certain city is 54.3 cm. (a) Choose the correct answer below. A. 5% of 36-month-old males weigh 12.0 kg or less, and 95% of 30-month-old males weigh more than 12.0 kg. B. 5% of 36-month-old males weigh 12.0 kg or more, and 95% of 30-month-old males weigh less than 12.0 kg. C. 5% of males weigh 12.0 kg or more, and 95% of 36-month-old males weigh more than 12.0 kg. D. 5% of males weight 12.0 kg or less, and 95% of 36-month-old males weigh more than 12.0 kg. (b) Choose the correct answer below. A. 95% of newborn females have a length of 54.3 cm or less, and 5% of newborn females have a length that is more than 54.3 cm. B. 95% of females have a length of 54.3 cm or less, and 5% of newborn females have a length that is more than 54.3 cm. C. 95% of newborn females have a length of 54.3 cm or more, and 5% of newborn females have a length that is less than 54.3 cm. D. 95% of females have a length of 54.3 cm or more, and 5% of newborn females have a length that is less than 54.3 cm.

Explanation / Answer

nth percentile meaning n% of things are less than a certain value

=>

a)

5th percentile meaning

5% of 36 months of age are 12.0kg or less and 95% of 36 months of age weigh more than 12.0kg

hence choose A

b)

95% if new born females length is less than 54.3 cm and 5% greater than 54.3 cm

hence choose A

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