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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

Answer :

metchelle
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.

The box plot that represents the data is the box plot with minimum value 9.1, lower quartile 9.2, median 9.4, upper quartile 9.7, and maximum value 9.8.

What is the box plot that represents the data?

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%.

The wind speed arranged in ascending order : 9.1, 9.2, 9.2, 9.3, 9.4, 9.4, 9.4, 9.6, 9.7, 9.7, 9.8

  • Minimum = 9.1
  • Maximum = 9.8
  • Median = 9.4
  • Lower quartile = 1/4 x 12 = 3rd value = 9.2
  • Upper quartile = 3/4 x 12 = 9th value =9.7

To learn more about box plots, please check: https://brainly.com/question/27215146

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