Enter your answer and show all the steps that you use to solve this problem. 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 add up all the scores and divide by the number of scores:
Mean = (86 + 75 + 97 + 58 + 94 + 58) ÷ 6 = 78
To find the median, we need to put the scores in order from smallest to largest:
58, 58, 75, 86, 94, 97
The median is the middle score, which is 86.
To find the mode, we need to identify the most frequent score:
The score 58 appears twice, while all the other scores appear only once. Therefore, the mode is 58.
Based on these calculations, Maria's teacher should use the mean to convince her to study more regularly. Her mean score is below average, indicating that she needs to improve her overall performance. However, it is important to note that the teacher could use all three measures (mean, median, and mode) to provide a more comprehensive assessment of Maria's performance and the areas she needs to work on.