Respuesta :
Box plot stores 5 important data description of the considered data set. The range of the data represented by given box plot is 10 (option D)
How does a box plot shows the data points?
A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
The range of values of a data set is:
Range = Maximum value of the data set - Minimum value of the data set
For the given case, we get:
Whiskers ranging from 5 to 15 means minimum value = 5, and maximum value = 15
The Box ranges from 8 to 14, denoting that first quartile = 8, and third quartile = 14
The line dividing the box is at 10 = median of the data set.
Thus, we get the range of the data set = max. - min. value = 15-5 = 10
Thus, the range of the data represented by given box plot is 10 (option D)
Learn more about range of a data set here:
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