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

3 answers

Mean:

To find the mean, you add up all the scores and divide by the total number of scores.

86 + 75 + 97 + 58 + 94 + 58 = 468

468 ÷ 6 = 78

The mean score is 78.

Median:

To find the median, you put the scores in order from smallest to largest and find the middle value.

58, 58, 75, 86, 94, 97

The middle values are 75 and 86. To find the median, you add those two values together and divide by two.

75 + 86 = 161

161 ÷ 2 = 80.5

The median score is 80.5.

Mode:

To find the mode, you look for the value that appears most frequently in the data set.

In this case, 58 appears twice, and all the other values appear only once.

The mode score is 58.

Based on these results, Maria's teacher should use the mean score of 78 to convince her to study more regularly. This is because the mean takes into account all the scores and is a good representation of how she is performing overall. The median and mode are also important measures of central tendency, but they can be skewed if there are extreme scores, like the 97 in this data set. Therefore, the mean is the most appropriate measure to use in this case.
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?
Based on these results, Maria's teacher should use the mean score of 78 to convince her to study more regularly. This is because the mean takes into account all the scores and is a good representation of how she is performing overall. The median and mode are also important measures of central tendency, but they can be skewed if there are extreme scores, like the 97 in this data set. Therefore, the mean is the most appropriate measure to use in this case.