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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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bot?
I apologize, how can I assist you?
To find the mean, median, and mode of the scores, follow these steps:
1. Mean:
The mean is the average of all the scores. To find the mean, add up all the scores and divide the sum by the total number of scores.
86 + 75 + 97 + 58 + 94 + 58 = 468
Mean = 468 / 6 = 78
Therefore, the mean of the scores is 78.
2. Median:
The median is the middle value when the scores are arranged in order. To find the median, first, arrange the scores in ascending order.
58, 58, 75, 86, 94, 97
The median is the middle value, which in this case is 86.
Therefore, the median of the scores is 86.
3. Mode:
The mode is the value that appears most frequently in the scores. In this case, the scores 58 and 94 both appear twice, while the rest appear only once. The mode is the most common value, so the mode of the scores is 58 and 94.
To decide whether the mean, median, or mode would be best to convince Maria to study more regularly, consider the following:
- Mean: The mean can be influenced by extreme values, such as outliers. In this case, the scores range from 58 to 97, so the mean of 78 may not accurately represent Maria's performance.
- Median: The median is resistant to extreme values since it only considers the middle value. In this case, the median is 86, which may better represent Maria's performance compared to the mean.
- Mode: The mode represents the most frequent value, but it may not necessarily reflect Maria's overall performance. In this case, the mode is 58 and 94, which are not necessarily indicative of Maria's overall performance.
Based on these considerations, Maria's social studies teacher should use the median of the exam scores (86) to convince Maria that she needs to study more regularly. The median provides a more reliable representation of her overall performance compared to the mean or mode.