Mean: 90.5,
Median: 95.5
Mode: N/A (no mode)
Solving
The given test scores are: 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100.
Mean:
The mean of a given set of data is the average value of the data. It can be calculated by adding up all the values and then dividing by the total number of values.
Mean = (85 + 86 + 87 + 88 + 89 + 90 + 91 + 92 + 93 + 94 + 95 + 96 + 97 + 98 + 99 + 100)/16
Mean = 90.5
Median:
The median of a given set of data is the middle value when the data is arranged in numerical order. If there are two middle values, then the median is the average of those two values.
Arranging the given test scores in numerical order:
85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
Here, the two middle values are 95 and 96. Therefore, the median is the average of these two values.
Median = (95 + 96)/2
Median = 95.5
Mode:
The mode of a given set of data is the value that appears most frequently in the data. In the given test scores, there is no value that appears more than once. Therefore, there is no mode for the given test scores.
Hence, the mean, median and mode of the given test scores are 90.5, 95.5 and N/A (no mode) respectively.