Answer:
B. The interquartile range is 55.
Step-by-step explanation:
In this problem, I refer to the right part of the box as the median of the upper half and the left part of the box as the median of the lower half.
The median of the data is going to be the middle line of the box and whisker plot. The middle line lies on 55, so the median is 55.
Choice A is true
The interquartile range is the right end of the box subtracted from the left end of the box. The right end of the box is 65. The left end of the box is 40. Subtracting the left end from the right end, we get 25.
Choice B is false
3/4 of the data will be where we see the right end of the box. The right end of the box is at 65. So, 3/4 of the data is less than 65.
Note: 1/4 of the data is less than the left side of the box at 40. 1/2 of the data is less than the median of the box which is at 55.
Choice C is true
The median of the upper half is the right end which is 65.
Note: The median of the lower half is 40.
Choice D is true
