Exam results for 100 students are given below. For the given exam results, briefly describe the shape and variation of the distribution. median $$ =75 $$, mean $$ =75 $$, low score $$ =60 $$, high score $$ =90 $$ Describe the shape of the distribution. Choose the correct answer below. A. The distribution is right-skewed because the median is greater than the mean. B. The distribution is right-skewed because the median is less than the mean. C. The distribution is left-skewed because the median is less than the mean. D. The distribution is symmetric because the median is equal to the mean. E. The distribution is left-skewed because the median is greater than the mean. The difference between the greatest and least scores is $$ \square $$, which is moderate to large compared to the number of students. (Type an integer or a decimal.)

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UpStudy AI · Accepted Answer

1. Since the median is equal to the mean ($$75 = 75$$), the distribution is symmetric. Therefore, the correct choice is  
   **D. The distribution is symmetric because the median is equal to the mean.**

2. The difference between the highest and lowest scores is calculated as  
   $$
   \text{Range} = 90 - 60 = 30.
   $$
   
Thus, the range is $$30$$.
The distribution is symmetric because the median equals the mean. The range is 30.

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