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Maria has the following scores on exams in her social studies class: 86, 75, 97, 58, 94, and 58.
Find the mean, median, and mode of the scores.
Should Maria’s social studies teacher use the mean, median, or mode of the exam scores to convince Maria that she needs to study more regularly for her exams?
To find the mean, we need to add up all the scores and then divide by the total number of scores:
86 + 75 + 97 + 58 + 94 + 58 = 468
Mean = 468/6 = 78
To find the median, we need to arrange the scores in order from lowest to highest and then find the middle score. In this case, the scores in order are:
58, 58, 75, 86, 94, 97
The middle score is 86, so the median is 86.
To find the mode, we need to find the score that appears most frequently. In this case, both 58 and 94 appear twice, so there is no single mode.
Based on these calculations, the teacher should use the median to convince Maria to study more regularly. The median is a more accurate representation of her performance because it is not affected by outliers (like the low scores of 58). The mean can be skewed by extreme scores, and the lack of a mode means that there is not a specific score that Maria needs to aim for.