explain the meaning of the following percentiles in parts (a) and (b). (a) the 5th percentile of the weight…

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 11.0 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 males weigh 11.0 kg or less, and 95% of 36 - month - old males weigh more than 11.0 kg. b. 5% of 36 - month - old males weigh 11.0 kg or less, and 95% of 36 - month - old males weigh more than 11.0 kg. c. 5% of males weigh 11.0 kg or more, and 95% of 36 - month - old males weigh less than 11.0 kg. d. 5% of 36 - month - old males weigh 11.0 kg or more, and 95% of 36 - month - old males weigh less than 11.0 kg. (b) choose the correct answer below. a. 95% of females have a length of 53.3 cm or less, and 5% of newborn females have a length that is more than 53.3 cm. b. 95% of females have a length of 53.3 cm or more, and 5% of newborn females have a length that is less than 53.3 cm. c. 95% of newborn females have a length of 53.3 cm or more, and 5% of newborn females have a length that is less than 53.3 cm. d. 95% of newborn females have a length of 53.3 cm or less, and 5% of newborn females have a length that is more than 53.3 cm.

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 11.0 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 males weigh 11.0 kg or less, and 95% of 36 - month - old males weigh more than 11.0 kg. b. 5% of 36 - month - old males weigh 11.0 kg or less, and 95% of 36 - month - old males weigh more than 11.0 kg. c. 5% of males weigh 11.0 kg or more, and 95% of 36 - month - old males weigh less than 11.0 kg. d. 5% of 36 - month - old males weigh 11.0 kg or more, and 95% of 36 - month - old males weigh less than 11.0 kg. (b) choose the correct answer below. a. 95% of females have a length of 53.3 cm or less, and 5% of newborn females have a length that is more than 53.3 cm. b. 95% of females have a length of 53.3 cm or more, and 5% of newborn females have a length that is less than 53.3 cm. c. 95% of newborn females have a length of 53.3 cm or more, and 5% of newborn females have a length that is less than 53.3 cm. d. 95% of newborn females have a length of 53.3 cm or less, and 5% of newborn females have a length that is more than 53.3 cm.

Answer

Brief Explanations:

The pth percentile of a data set is the value such that p percent of the data values are less than or equal to that value. For the 5th percentile, 5% of the data values are less than or equal to it and 95% are greater. For the 95th percentile, 95% of the data values are less than or equal to it and 5% are greater. For part (a), we are considering the 5th percentile of the weight of 36 - month - old males. So 5% of 36 - month - old males weigh 11.0 kg or less and 95% weigh more. For part (b), we are considering the 95th percentile of the length of newborn females. So 95% of newborn females have a length of 53.3 cm or less and 5% have a length that is more.

Answer:

(a) B. 5% of 36 - month - old males weigh 11.0 kg or less, and 95% of 36 - month - old males weigh more than 11.0 kg (b) D. 95% of newborn females have a length of 53.3 cm or less, and 5% of newborn females have a length that is more than 53.3 cm