Question

the students in mr. woods math class were asked 4 different questions. the answers they gave are summarized in the 4 box plots below. which box plot shows the data set that is the most symmetrical?

Explanation:

A symmetrical box plot has the median (the middle line inside the box) centered within the box, and the whiskers on both sides are roughly equal in length, meaning the distance from the median to the first quartile (left box edge) equals the distance to the third quartile (right box edge), and the left whisker length matches the right whisker length.

• For the "Height (inches)" plot: The median is centered in the box, and the left and right whiskers are nearly equal in length, with the box itself being symmetric around the median.
• The other plots have either an off-center median, uneven whisker lengths, or both, making them asymmetrical.

Answer:

The box plot for "Height (inches)" (top-left plot) shows the most symmetrical data set.