Question

select the correct answer.

figure a
figure b
figure c
figure d

which box plot represents a symmetrically distributed data set?

figure a
figure b
figure c

Explanation:

Define symmetry in box plots

A box plot represents a symmetric distribution when the median line is in the exact center of the box, and the whiskers on both sides are of equal length.

Analyze each figure

• Figure A: The median line is centered in the box, and the left and right whiskers are of equal length (each spanning 2 units).
• Figure B: The median line is shifted to the left within the box, and the left whisker is longer than the right whisker.
• Figure C: The median line is centered in the box, but the right whisker is longer than the left whisker.
• Figure D: The median line is shifted to the left within the box, and the right whisker is much longer than the left whisker.

Select the symmetric representation

Figure A is perfectly balanced and symmetric.

Answer:

• figure A (Correct answer)
• figure B
• figure C