which box plot represents a symmetrically distributed data set?\na. figure a\nb. figure b\nc. figure c\nd…

which box plot represents a symmetrically distributed data set?\na. figure a\nb. figure b\nc. figure c\nd. figure d

which box plot represents a symmetrically distributed data set?\na. figure a\nb. figure b\nc. figure c\nd. figure d

Answer

Explanation:

Step1: Recall symmetric box - plot property

In a symmetrically distributed data - set represented by a box - plot, the median is in the middle of the box and the whiskers are approximately the same length on both sides of the box.

Step2: Analyze each figure

  • Figure A: The median is closer to the lower quartile and the whiskers are of different lengths.
  • Figure B: The median is in the middle of the box and the whiskers are approximately the same length on both sides of the box.
  • Figure C: The median is closer to the upper quartile and the whiskers are of different lengths.
  • Figure D: The median is closer to the lower quartile and the whiskers are of different lengths.

Answer:

B. figure B