The following scores were recorded on a 100-point examination:
95, 75, 76, 86, 96, 71, 68, 81, 95, 76, 69, 82, 93, 88, 94
Find the mean and median final examination scores.
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To find the mean and median final examination scores, you need to follow these steps:
1. Find the Mean:
The mean is calculated by adding up all the values and then dividing the sum by the number of values. So, add up all the scores: 95 + 75 + 76 + 86 + 96 + 71 + 68 + 81 + 95 + 76 + 69 + 82 + 93 + 88 + 94 = 1205. Next, divide this sum by the number of scores, which is 15 (since there are 15 scores). So, 1205 รท 15 = 80.33. Therefore, the mean final examination score is 80.33.
2. Find the Median:
The median is the middle value when the scores are arranged in ascending order. To find the median, first, arrange the scores in ascending order: 68, 69, 71, 75, 76, 76, 81, 82, 86, 88, 93, 94, 95, 95, 96. Since there are 15 scores, the middle value is the 8th score. So, the median is 81.
Therefore, the mean final examination score is 80.33, and the median final examination score is 81.