Questions: Explain the meaning of the following percentiles in parts (a) and (b). (a) The 5th percentile of the weight of males 36 months of age in a certain city is 13.0 kg. (b) The 95th percentile of the length of newborn females in a certain city is 53.3 cm. (a) Choose the correct answer below. A. 5% of 36-month-old males weigh 13.0 kg or more, and 95% of 36-month-old males weigh less than 13.0 kg. B. 5% of males weigh 13.0 kg or less, and 95% of 36-month-old males weigh more than 13.0 kg. C. 5% of 36-month-old males weigh 13.0 kg or less, and 95% of 36-month-old males weigh more than 13.0 kg. D. 5% of males weigh 13.0 kg or more, and 95% of 36-month-old males weigh less than 13.0 kg.

Solution Steps

A percentile indicates the value below which a given percentage of observations in a group of observations falls. For example, the 5th percentile is the value below which 5% of the data falls.

The question states that the 5th percentile of the weight of males 36 months of age is 13.0 kg. This means that 5% of 36-month-old males weigh 13.0 kg or less, and 95% of 36-month-old males weigh more than 13.0 kg.

From the given options:

• Option A states that 5% of 36-month-old males weigh 13.0 kg or more, which is incorrect.
• Option B states that 5% of males weigh 13.0 kg or less, but it does not specify the age group, which is incorrect.
• Option C correctly states that 5% of 36-month-old males weigh 13.0 kg or less, and 95% of 36-month-old males weigh more than 13.0 kg.
• Option D states that 5% of males weigh 13.0 kg or more, which is incorrect.

Final Answer