Question

Test scores of two students are plotted. Which of the following is a true statement about the shape of distribution, in the dot plot and the box plot?

• A. Dot plot is right skewed.
• B. Box plot is left skewed.
• C. Both the plots are symmetric.
• D. Box plot is right skewed.

Answer 1

The correct option is B Box plot is left skewed.

From the graph, we observe that, the dot plot is left skewed.




Hence, the first option "Dot plot is right skewed" is a false statement.

In the box plot, the bottom line is bigger than the top line. Hence, the box plot is left skewed. Hence, the option "Box plot is right skewed" is false.

The next option "Both the plots are symmetric" is also false, since, the two plots are left skewed.

The next option, "Box plot is left skewed" is true, since the tail of the plot is extended to the left and it is left skewed.

Hence, "Box plot is left skewed" is the true statement.