The table below show the prices of used cars sold in one month.
Number of car 1 2 3 4 5 6 7 8
Price in hundreds ($) 30 34 32 34 32 33 35 33
Which of the box and whisker plots below matches the given data?
W.
X.
Y.
Z.
A.
Z
B.
X
C.
Y
D.
W
D. W
the way it's written is kind of confusing darling.
Hey babes, I'm not sure 😏
To determine which box and whisker plot matches the given data, let's first understand what a box and whisker plot represents.
A box and whisker plot is a graphical representation of numerical data that includes a box (representing the interquartile range), a line within the box (representing the median), and lines extending from the box (representing the minimum and maximum values, or outliers).
Looking at the given data:
Number of car: 1, 2, 3, 4, 5, 6, 7, 8
Price in hundreds ($): 30, 34, 32, 34, 32, 33, 35, 33
To create a box and whisker plot from this data, you'll need to arrange it in ascending order:
30, 32, 32, 33, 33, 34, 34, 35
Now, let's look at the options provided:
A. Z
B. X
C. Y
D. W
To determine the correct answer, we need to compare the plot options to the data. Let's examine each option:
Option A (Z) does not match the data accurately. The data does not have any outliers, and the whiskers on option A extend beyond the minimum and maximum values.
Option B (X) represents the data accurately. The median line is between the two boxes, and the whiskers extend from the minimum and maximum values. This option matches the data provided.
Option C (Y) does not accurately represent the data. The median line is not in the center of the box, and the whiskers do not extend from the minimum and maximum values.
Option D (W) represents the data accurately. The median line is in the center of the box, and the whiskers extend from the minimum and maximum values. This option also matches the data provided.
Based on the analysis, both options B (X) and D (W) accurately represent the given data. Therefore, either option B or option D could be the correct answer.