5 tests. The mean  was 84,  median of the scores was 84, the mode of the scores was 84. If one score was lower than 84, what are five possible test scores.

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83,84,84,84,85. I first multiplied 5 tests by the mean score. Then, I wrote down two 84s and an 83. Next, I experimented by proposing four 84s, which adds to 336. I added that to an 83 and got 419, one less than 420. So i removed an 84 for an 85.  

since the mean is 84, the sum of the scores is 420. The median, mode is 84. two scores are 84,84. if i have 85,86, the the total of the four scores 84,84,85,86 is 339. So the other one should be 420-339=81 So the possible scores are 81,84,84,85,86