Question

6

Select the correct answer.
If 3 of the students who scored below 140 decide to drop the class, what would be the shape of the distribution?
A. The distribution would exhibit a positive skew.
The distribution would exhibit a negative skew.
The distribution would be symmetric about the mean.
D.
The distribution would be uniform.
E. The distribution would be asymmetric with no skew

Answer 1

The distribution would exhibit a positive skew because the removal of lower scores creates a longer tail on the right side of the distribution.

Step-by-step explanation:

If 3 of the students who scored below 140 decide to drop the class, assuming the remaining distribution of exam scores is normal, the distribution would exhibit a positive skew. This is because removing students with low scores will leave a gap on the lower end of the distribution, causing a longer tail on the right side (higher values), and making the bulk of the data shift to the left. In a positively skewed distribution, the mode is often less than the median, which is less than the mean.