The overall averages of 12 students in a statistics class prio...

Question

The overall averages of 12 students in a statistics class prior to taking the final exam are listed.

67 72 88 73 99 85 81 87 63 94 68 87

a. Find the mean, median, and mode of the data set. Which best represents the center of the data?

Accepted Answer

The quiz results for 10 students in the chemistry class are given below. Determine the mean, median and mode for the data set, which measure is appropriate to describe the center. We have 56, 62, 78, 85, 62, 90, 74, 62, 80, and 88. Now, to solve this, I first arranged our data in ascending order, from 56 all the way to 90. Let's look for all of our measures. Our mean is first, which is the average. We'll go ahead and add all of these values together. And divide by the sample size. So We'll add all these together. And divide everything by sample size of 10. We get 737 divided by 10, which is 73.7. Now we can find the median. Now, the median is the middle value, however, we have an even number of data points. Our median would then be the average of the middle two values or the average of the 5th and 6th values. In this case, our 5th value. will be 74, and our 6th value will be 78. Divided by 2 to get our median. 152 divided by 2 equals 76. And finally, the mode is the value that occurs the most, and we noticed that 62 appears 3 times, so we will say 62. And then we finally need to determine which measure is most appropriate to describe the sinner. And we notice here, mode is pretty far away from what the mean or averages and the median. So we won't use the mode. We also have mean and median. In this case, the mean is more affected by lower and higher values or outliers. So we will then say that the median It is most appropriate because it's the least affected value by the data set. So we now have all of our values, mean, median, and mode. OK, I hope to help you solve the problem. Thank you for watching. Goodbye.

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The overall averages of 12 students in a statistics class prior to taking the final exam are listed.
67 72 88 73 99 85 81 87 63 94 68 87

a. Find the mean, median, and mode of the data set. Which best represents the center of the data?

Key Concepts

Mean

Median

Mode

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The overall averages of 12 students in a statistics class prior to taking the final exam are listed.67 72 88 73 99 85 81 87 63 94 68 87a. Find the mean, median, and mode of the data set. Which best represents the center of the data?