Answer:
The box in figure C represents a symmetrically distributed data set.
Step-by-step explanation:
Given 4 figures A, B, C and D.
we have to select the figure in which box plot represents a symmetrically distributed data set.
Symmetrical distribution data set show two sides that mirror each other i.e distance from both sides left and right to the middle point is same.
In the figure A, B and D, highest value of box i.e range minus the lowest value i.e domain then take the average gives the middle point which does not lies on the line represent between the box shown in figure. Therefore, box in Figure A does not represents symmetrically distributed data set.
The above condition satisfies by the figure C.
Hence, the box in figure C represents a symmetrically distributed data set.