Question

The box plots show attendance at a school dance competition and school badminton games.

Box plots titled Attendance at School Dance Competitions versus School Badminton Games with horizontal axis labeled Attendance ranges from 50 to 160. Dance Competition box plot with minimum approximately at 60 and maximum approximately at 150 has interquartile ranges approximately between 60 and 130 and median approximately between 90 and 100. Badminton box plot with minimum approximately 90 and maximum approximately at 150 has interquartile ranges approximately between 90 and 150 and median approximately between 120 and 130.

Which of the following best describes how to measure the spread of the data?

The standard deviation is a better measure of spread for dance competitions than for badminton games.
The IQR is the best measurement of spread for badminton games and dance competitions.
The IQR is a better measure of spread for dance competitions than for badminton games.
The standard deviation is the best measurement of spread for badminton games and dance competitions.

Answer 1

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

Answer 2

The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Recall:

• Interquartile range (IQR) is the difference between the first quartile and the third quartile.

• From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.

• IQR is a measure of spread.

Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.

Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Learn more about interquartile range on:

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