Question

Determine the mean, median, and mode for the following set Q2 test scores for this class.
90, 87.5, 63.75, 90, 92.5, 88, 80, 71.25, 100, 58.75, 93

Answer 1

Let's calculate the mean, median, and mode for the given set of Q2 test scores:

**Scores:**
90, 87.5, 63.75, 90, 92.5, 88, 80, 71.25, 100, 58.75, 93

### Mean
To find the mean, we sum all the scores and then divide by the number of scores.

1. Calculate the sum:
\[
90 + 87.5 + 63.75 + 90 + 92.5 + 88 + 80 + 71.25 + 100 + 58.75 + 93 = 915.00
\]

2. Count the number of scores:
\[
\text{Number of scores} = 11
\]

3. Calculate the mean:
\[
\text{Mean} = \frac{\text{Sum of scores}}{\text{Number of scores}} = \frac{915}{11} \approx 83.18
\]

### Median
To find the median, we need to arrange the scores in ascending order and then find the middle value.

1. Arrange the scores:
\[
58.75, 63.75, 71.25, 80, 87.5, 88, 90, 90, 92.5, 93, 100
\]

2. Since there are 11 scores (an odd number), the median is the middle score (the 6th score in this case):
\[
\text{Median} = 88
\]

### Mode
The mode is the score that appears most frequently in the set.

1. Count the frequency of each score:
- 58.75: 1
- 63.75: 1
- 71.25: 1
- 80: 1
- 87.5: 1
- 88: 1
- 90: 2
- 92.5: 1
- 93: 1
- 100: 1

The score that appears most frequently is 90.

### Conclusion
- Mean: 83.18
- Median: 88
- Mode: 90