Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. bernice received the following scores on five science tests: 96, 77, 82, 96, and 89. which of the following statements is true? the mode of the set of scores is 96. the median of the set of scores is 82. the mean and median of the set of scores are the same. the mean of the set is greater than the median.

Explanation:

Step1: Find the mode

The mode is the most frequent number. In {96, 77, 82, 96, 89}, 96 appears twice, others once. So mode is 96.

Step2: Find the median

Sort the scores: 77, 82, 89, 96, 96. The middle (3rd) term is 89. So median is 89.

Step3: Find the mean

Sum = \(96 + 77 + 82 + 96 + 89 = 440\). Mean = \(\frac{440}{5} = 88\).

Step4: Analyze options

• Mode: 96 (correct for first option).
• Median: 89 ≠ 82 (second option wrong).
• Mean (88) ≠ Median (89) (third option wrong).
• Mean (88) < Median (89) (fourth option wrong).

Answer:

The mode of the set of scores is 96.