Explain the meaning of the following percentiles:
1) The 10th percentile of the weight of males 36 months of age in a certain city is 13.0 kg.
2) The 90th percentile of the length of newborn females in a certain city is 53.8 cm.
1)The 10th percentile of the weight of males 36 months of age in a certain city is 13.0 kg.
A) 10% of males weigh 12.0 kg or less and 90% of the 36-month-old males weight more than 12.0 kg.
B) 10% of males weigh 12.0 kg or more and 90% of the 36-month-old males weight less than 12.0 kg.
C) 10% of 36-month old males weigh 12.0 kg or less, and 90% of 36-month-old males weigh more than 12.0 kg.
D) 10% of 36-month old males weigh 12.0 kg or more, and 90% of 36-month-old males weigh less than 12.0 kg.
2) The 90th percentile of the length of newborn females in a certain city is 53.8 cm.
A) 90% of females have a length of 54.3 cm or less and 10% of newborn females have a length that is more than 54.3 cm.
B) 90% of females have a length of 54.3 cm or more and 10% of newborn females have a length that is less than 54.3 cm.
C) 90% of Newborn females have a length of 54.3 cm or more and 10% of newborn have a length that is less than 54.3 cm.
D) 90% of Newborn females have a length of 54.3 cm or less and 10% of newborn have a length that is more than 54.3 cm.

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ChiKesselman ChiKesselman · Answer 1 · 2020-02-17T05:57:55+01:00

Answer:

1. Option C

2. Option A

Step-by-step explanation:

We are given the following in the question:

Percentile:

A percentile is a measure indicating the value below which a given percentage of observations falls.
Formula:

[tex]\text{Percentile} = \dfrac{\text{Number of values less than x}}{\text{Total number of values}}\times 100\%[/tex]

1) 10th percentile = 12.0 kg

Interpretation:

About 10% of 36 months old male are less than 12.0 kg and about 90% are more than 12.0 kg.

Option C) 10% of 36-month old males weigh 12.0 kg or less, and 90% of 36-month-old males weigh more than 12.0 kg.

2) 90th percentile = 54.3 cm

Interpretation:

About 90% of newborn females are 54.3 cm or less and 10% are more than 54.3 cm in length.

Option A) 90% of females have a length of 54.3 cm or less and 10% of newborn females have a length that is more than 54.3 cm.