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Answer :
Final answer:
The mode, which is the most frequently occurring score, is the most favorable measure of central tendency for these scores and would yield a final grade of 89.
Explanation:
The first step is to calculate the three measures of central tendency for the given test scores. The mode is the score that appears most frequently, which is 89 in this case as it appears three times.
The median is the middle score when arranged in numerical order which turns out to be 87 (average of 85 and 89). The mean is the average of all scores. For these test scores (89, 81, 85, 82, 89, 89), the sum is 515. When divided by 6 (the total number of tests), we get an average of 85.83 which rounds to 86.
Considering these calculations, the most favorable measure of central tendency will be the mode, i.e., 89, as it is the highest amongst all three measures. By selecting the mode, you will get the maximum possible grade for the term.
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Final answer:
Given the test scores, the mode, which is 89, would be the best representation of the student's grade as it is the highest score among the mean, median, and mode.
Explanation:
The question relates to the calculations of the mean, the median, and the mode from a set of scores. Each of these measures product slightly different results and can be more or less favorable depending on the distribution of scores.
We start by calculating each:
- The mean (average) = (89+81+85+82+89+89)/6 = 85.83 (rounded down to 86)
- The median (middle value) = (85+85)/2 = 85 (since the scores are in increasing order, and we have even number of scores, hence the average of middle two numbers).
- The mode (most frequently occurring number) is 89, as it occurs thrice.
Thus, given the option, one should definitely choose the mode as the grade, as it gives the highest score at 89.
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