there are two box and whisker plots
class a: median=83 maximum #=100 minimun#=70 upper quartile=85 lower quartile=80
class b: median=80 maximum= 100 minimum=60 upper=90 lower=70
what describes the results?
the medians for the two classes are the same. (i know that's wrong)
class a has a smaller range of scores in the upper quartile than class b
class b performed better than class a.(thats wrong too)
the lower extreme of class b is greater than the lower extreme of class a (i think that's wrong right?)
To determine which statement describes the results correctly, let's analyze the given information about the two box and whisker plots for classes A and B.
First, let's address your understanding of the medians. You mentioned that you know the statement "the medians for the two classes are the same" is incorrect. Indeed, the given information states that the median for class A is 83, while the median for class B is 80. Therefore, this statement is false.
Now, let's evaluate the other statements:
1. "Class A has a smaller range of scores in the upper quartile than class B."
To determine the range of scores in the upper quartile, we subtract the lower quartile from the upper quartile. For class A, the upper quartile is 85, and the lower quartile is 80. Thus, the range in the upper quartile for class A is 85 - 80 = 5. For class B, the upper quartile is 90, and the lower quartile is 70. The range in the upper quartile for class B is 90 - 70 = 20. Therefore, this statement is true since the range in the upper quartile for class A (5) is smaller than the range in the upper quartile for class B (20).
2. "Class B performed better than class A."
The box and whisker plots provide information about the distribution of data but do not directly measure performance. The plots only display summary statistics such as the median, quartiles, minimum, and maximum values. The statement about class B performing better or worse cannot be determined solely based on the given information. Therefore, this statement cannot be deemed true or false.
3. "The lower extreme of class B is greater than the lower extreme of class A."
The lower extreme refers to the minimum value. According to the given information, the minimum value for class A is 70, while the minimum value for class B is 60. Consequently, this statement is false since the lower extreme of class B (60) is smaller than the lower extreme of class A (70).
In conclusion, the statement that correctly describes the results based on the given information is "Class A has a smaller range of scores in the upper quartile than class B."