Question

the data in the table summarize the scores of 59 students on a social studies exam. which of the following statements best describes the distribution of the scores?
the distribution is positively skewed.
the distribution is negatively skewed.
the distribution is symmetric.
the distribution is bimodal.

Explanation:

Step1: Recall Skewness Rules

For a distribution, compare mean, median, mode:

• Symmetric: Mean = Median = Mode
• Positively Skewed: Mean > Median > Mode
• Negatively Skewed: Mean < Median < Mode

Step2: Analyze Given Values

From the table:
Mean = 65, Median = 73, Mode = 77

Step3: Compare Mean, Median, Mode

Check order: \( 65 < 73 < 77 \) (Mean < Median < Mode).

Answer:

The distribution is negatively skewed.