To determine your grade to the nearest whole number and choose the most favorable measure of central tendency, we need to consider the three measures of central tendency: the mean, median, and mode.
1. **Mean (Average):**
The mean is calculated by adding all the scores together and then dividing by the number of scores.
Total score = 89 + 81 + 85 + 82 + 89 + 89 = 515
Number of scores = 6
Mean = Total score / Number of scores = 515 / 6 ≈ 85.83
Rounded to the nearest whole number, the mean is 86.
2. **Median (Middle Value):**
The median is the middle score when the scores are arranged in ascending order. If there are an even number of scores, the median is the average of the two middle numbers.
Arranged scores: 81, 82, 85, 89, 89, 89
The two middle scores are 85 and 89.
Median = (85 + 89) / 2 = 174 / 2 = 87
3. **Mode (Most Frequent Value):**
The mode is the score that appears most frequently.
From the scores 89, 81, 85, 82, 89, and 89, the mode is 89, since it appears three times.
In summary:
- Mean: 86 (rounded to the nearest whole number)
- Median: 87
- Mode: 89
**The most favorable measure of central tendency for you to choose is the mode, as it is the highest value at 89.**
Your math teacher will allow you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On six tests you earn scores of 89 81 85 82 89 and 89. What is your grade to the nearest whole number and which measure of central tendency should you choose?
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