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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?..
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I'm sorry, I don't understand what you mean by "bots?" Can you please provide more context or clarify your question?
To find the mean, median, and mode of the scores, follow these steps:
Step 1: Write down the given scores: 86, 75, 97, 58, 94, and 58.
Step 2: Find the mean:
Add up all the scores: 86 + 75 + 97 + 58 + 94 + 58 = 368.
Divide the sum by the total number of scores, which is 6: 368 / 6 = 61.33.
The mean score is 61.33.
Step 3: Find the median:
Arrange the scores in ascending order: 58, 58, 75, 86, 94, 97.
Since there are 6 scores, the median will be the average of the two middle numbers: (75 + 86) / 2 = 80.5.
The median score is 80.5.
Step 4: Find the mode:
The mode is the score that appears most frequently. In this case, the score 58 appears twice, and all other scores appear only once.
The mode score is 58.
Based on these results, Maria's social studies teacher should use the mean score (61.33) to convince Maria that she needs to study more regularly for her exams. The mean represents the average score and indicates the overall performance.
To find the mean, median, and mode of Maria's scores, follow these steps:
Step 1: Arrange the scores in ascending order: 58, 58, 75, 86, 94, 97.
Step 2: Find the mean:
- Add up all the scores: 58 + 58 + 75 + 86 + 94 + 97 = 468.
- Divide the sum by the total number of scores (6): 468 / 6 = 78.
The mean is 78.
Step 3: Find the median:
- Since there is an even number of scores, take the average of the two middle scores.
- The middle two scores are 75 and 86. Add them together and divide by 2: (75 + 86) / 2 = 80.5.
The median is 80.5.
Step 4: Find the mode:
- The mode is the value(s) that occur most frequently.
- In this case, both 58 and 94 appear twice, while all other scores appear only once.
The mode is 58 and 94.
Now, let's determine which measure (mean, median, or mode) the teacher should use to convince Maria to study more regularly.
Considering Maria's scores, the teacher should use the mean (78) to show Maria the average value of her scores. The mean reflects the overall performance and can help Maria understand that she needs to improve her scores by studying more regularly.
The median (80.5) can also be useful as it represents the middle value and is not affected by extreme values. However, in this case, the mean gives a more accurate representation of Maria's overall performance.
The mode (58 and 94) is not as relevant in this situation since it only represents the most frequent scores. While it may indicate that Maria has scored these values more often, it does not give a comprehensive evaluation of her performance as a whole.
Hence, the teacher should primarily use the mean to convince Maria to study more regularly for her exams.