High School

Miriam’s study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80.

Find the mean and median scores.

The mean is:
A. 80
B. 82
C. 89
D. 92

The median is:
A. 80
B. 82
C. 89
D. 92

Answer :

To find the mean and median of the test scores in Miriam's study group, follow these steps:

Mean:

  1. First, add up all the scores in the group. The scores provided are: 96, 81, 82, 99, 94, 92, 95, 82, and 80.

    [tex]96 + 81 + 82 + 99 + 94 + 92 + 95 + 82 + 80 = 801[/tex]

  2. Next, count the number of test scores. Here, there are 9 scores.

  3. Divide the total sum by the number of scores:

    [tex]\text{Mean} = \frac{801}{9} \approx 89[/tex]

    Therefore, the mean score is approximately 89.

Median:

  1. First, arrange the scores in ascending order:

    80, 81, 82, 82, 92, 94, 95, 96, 99

  2. Since there are 9 scores (an odd number), the median will be the middle score.

  3. Identify the middle score, which is the 5th score in the ordered list:

    The median is 92.

Thus, the mean score is approximately 89, and the median score is 92.

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