We appreciate your visit to The following data represent the amount of time in minutes a random sample of eight students took to complete the online portion of an exam. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
A. The mean exam time is 100.98 minutes.
A. The median exam time is 96.30 minutes.
B. The mode does not exist.
To compute the mean, median, and mode of the exam times, let's arrange the data in ascending order:
65.3, 73.9, 91.6, 94.7, 97.9, 113.9, 122.1, 128.4
Mean:
To find the mean, we sum up all the values and divide by the total number of values:
Mean = (65.3 + 73.9 + 91.6 + 94.7 + 97.9 + 113.9 + 122.1 + 128.4) / 8
Mean = 807.8 / 8
Mean = 100.975 (rounded to two decimal places)
The mean exam time is approximately 100.98 minutes.
Median:
To find the median, we locate the middle value of the ordered data set. Since we have an even number of data points (8), we take the average of the two middle values:
Median = (94.7 + 97.9) / 2
Median = 192.6 / 2
Median = 96.3 (rounded to two decimal places)
The median exam time is 96.30 minutes.
Mode:
The mode represents the value(s) that appear most frequently in the data set. In this case, there is no value that appears more than once. Therefore, there is no mode in this data set.
So, the answers are:
A. The mean exam time is 100.98 minutes.
A. The median exam time is 96.30 minutes.
B. The mode does not exist.
For such more questions on Stats Exam Time Analysis
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