The following data shows wind speed in a city, in miles per hour, on consecutive days of a month:

9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4

Which box plot best represents the data?

(A) box plot with minimum value 9.2, lower quartile 9.3, median 9.5, upper quartile 9.8, and maximum value 9.9

(B) box plot with minimum value 9.1, lower quartile 9.2, median 9.4, upper quartile 9.7, and maximum value 9.8

(C) box plot with minimum value 9.1, lower quartile 9.3, median 9.4, upper quartile 9.6, and maximum value 9.8

(D) box plot with minimum value 9.1, lower quartile 9.2, median 9.5, upper quartile 9.7, and maximum value 9.8

Question

Clay Villa

Mathematics

11 July, 08:08

The following data shows wind speed in a city, in miles per hour, on consecutive days of a month:

9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4

Which box plot best represents the data?

(A) box plot with minimum value 9.2, lower quartile 9.3, median 9.5, upper quartile 9.8, and maximum value 9.9

(B) box plot with minimum value 9.1, lower quartile 9.2, median 9.4, upper quartile 9.7, and maximum value 9.8

(C) box plot with minimum value 9.1, lower quartile 9.3, median 9.4, upper quartile 9.6, and maximum value 9.8

(D) box plot with minimum value 9.1, lower quartile 9.2, median 9.5, upper quartile 9.7, and maximum value 9.8

+3

Answers (1)

Know the Answer?

Darius Keith · Answer 1

In the data shown, rearranging the data [ 9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4] from the least to the greatest would give us the following data set:

9.1, 9.2, 9.2, 9.3, 9.4, 9.4, 9.4, 9.6, 9.7, 9.7, 9.8

The box-plots uses a 5-number summary. The minimum value, then Q1 which is the media of the lower half of the set, Q2 which is the median of the total set, Q3 which is the median of the upper half of the set, and Q4 which is the highest number. Among the choices, the correct answer is B.