Final answer:
The correct median score from Bernice's science tests is 89, which is also the mean score, and there is no mode in the set of scores. The other statements provided are incorrect.
Step-by-step explanation:
The student is asking about measures of central tendency, specifically mean, median, and mode, based on a set of five science test scores: 96, 77, 86, 97, and 89. First, we need to arrange the scores in ascending order to find the median: 77, 86, 89, 96, 97. The median score is the middle number, which is 89 in this set.
To find the mean, we calculate the average of the scores by adding them together and dividing by the number of scores: (96 + 77 + 86 + 97 + 89) / 5 = 445 / 5 = 89. So the mean score is also 89.
For the mode, since all scores are different, there is no mode in this set because no score repeats.
Given the information above, the true statement is: The median of the set of scores is 89. The provided statements in the question were incorrect, but through analysis, we have identified the correct median.
As for the mean, it is clear that it is not less than the median since both are 89. Since there is no repetition of scores, there is no mode, so it cannot be 96, and thus it cannot be concluded that the mean and median are different without actual calculation.