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Answer :
Final answer:
The mean time taken to complete the online portion of the statistics exam is 96.0875 minutes. The median time is 96.25 minutes. There is no mode in the given data set.
Explanation:
To find the mean, median, and mode of the given data set, let's start by arranging the data in ascending order: 65.4, 74.5, 84.7, 94.7, 97.8, 106.4, 116.8, 128.4.
- Mean: To find the mean, add up all the numbers and divide by the total count. In this case, the sum is 768.7 and the count is 8, so the mean is 768.7/8 = 96.0875.
- Median: To find the median, we need to find the middle number. Since we have an even count of numbers, we take the average of the two middle numbers. In this case, the two middle numbers are 94.7 and 97.8. So, the median is (94.7 + 97.8)/2 = 96.25.
- Mode: The mode is the number(s) that appear(s) most frequently in the data set. In this case, there is no number that appears more than once, so the data set has no mode.
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