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 90th percentile of the length of newborn females in a certain city is 53.3 cm.

Question

Sammy Franco

Mathematics

19 November, 21:23

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 90th percentile of the length of newborn females in a certain city is 53.3 cm.

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Jordyn Pham · Answer 1

a) 10% of the babies with 36 months of age weigh less than 11kg, and 100 - 10 = 90% weigh more.

b) 90% of the newborn females have a lenght of less than 53.3 cm and 100 - 90% = 10% have a length higher than 53.3 cm.

Step-by-step explanation:

Meaning of a percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x) % of the values in the set are higher than V.

(a) The 10th percentile of the weight of males 36 months of age in a certain city is 11.0 kg.

10% of the babies with 36 months of age weigh less than 11kg, and 100 - 10 = 90% weigh more.

(b) The 90th percentile of the length of newborn females in a certain city is 53.3 cm.

90% of the newborn females have a lenght of less than 53.3 cm and 100 - 90% = 10% have a length higher than 53.3 cm.