Explain the meaning of the following percentiles in parts (a) and (b). (a) The 10th 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 53.8 cm. (a) Choose the correct answer below. O A. 10% of 36-month-old males weigh 11.0 kg or less, and 90% of 36-month-old males weigh more than 11.0 kg. O B. 10% of 36-month-old males weigh 11.0 kg or more, and 90% of 36-month-old males weigh less than 11.0 kg. OC. 10% of males weigh 11.0 kg or more, and 90% of 36-month-old males weigh less than 11.0 kg. O D. 10% of males weigh 11.0 kg or less, and 90% of 36-month-old males weigh more than 11.0 kg. (b) Choose the correct answer below. A. 95% of newborn females have a length of 53.8 cm or less, and 5% of newborn females have a length that is more than 53.8 cm. B. 95% of newborn females have a length of 53.8 cm or more, and 5% of newborn females have a length that is less than 53.8 cm. O C. 95% of females have a length of 53.8 cm or less, and 5% of newborn females have a length that is more than 53.8 cm. D. 95% of females have a length of 53.8 cm or more, and 5% of newborn females have a length that is less than 53.8 cm.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="Explain the meaning of the following percentiles in parts (a) and (b).
Qu
(a) The 10th percentile of the weight of males 36 months of age in a certain city is 110 kg.
(b) The 95th percentile of the length of newborn females in a certain city is 53.8 cm.
(a) Choose the correct answer below.
O A. 10% of 36-month-old males weigh 11.0 kg or less, and 90% of 36-month-old males weigh more than 11.0 kg.
O B. 10% of 36-month-old males weigh 11.0 kg or more, and 90% of 36-month-old males weigh less than 11.0 kg.
O C. 10% of males weigh 11.0 kg or more, and 90% of 36-month-old males weigh less than 11.0 kg.
O D. 10% of males weigh 11.0 kg or less, and 90% of 36-month-old males weigh more than 11.0 kg.
(b) Choose the correct answer below.
O A. 95% of newborn females have a length of 53.8 cm or less, and 5% of newborn females have a length that is more than 53.8 cm.
O B. 95% of newborn females have a length of 53.8 cm or more, and 5% of newborn females have a length that is less than 53.8 cm.
O C. 95% of females have a length of 53.8 cm or less, and 5% of newborn females have a length that is more than 53.8 cm.
O D. 95% of females have a length of 53.8 cm or more, and 5% of newborn females have a length that is less than 53.8 cm.
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