BEGINNER stat questions Consider each of the following statements, and based sol

Question

BEGINNER stat questions

Consider each of the following statements, and based solely on the boxplot and the 5 number summary, decide if they are true or false. If false, briefly explain why.

i. There are several flights that have very long delays.

ii. The mean arrival delay is larger than the median arrival delay.

iii. More than 25% of flights are either exactly on time or arrive early.

iv. About 50% of flights are delayed between 13 and 35 minutes.

v. About 25% of flights are delayed by more than 78 minutes.

Mean: 55.92467139

StandardD 64.54974419

first quartile 13

third quartile 78

minimum -55

maximum 855

median 35

Explanation / Answer

(i)

There are many high outliers so there are several flights that are arrive late.

Hence, it is true.

(ii)

True

(iii)

First quartile is 13. That is 25% flights late by 13 minute or less.

That is it is False.

(iv)

The proprotion of flights between first quartile (13 minutes) and median (35 minutes) is 25%.

That is it is False.

(v)

True becuase 25% data values are greater than third quartile.

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