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The problem presented is based on a frequency distribution of mathematics test scores. The table shows intervals of scores and their corresponding frequencies.

The question asks for the most frequently obtained test score by the students.

### Step-by-step approach:
1. **Look at the frequency column**: The highest frequency is 22, which corresponds to the score interval of **81 – 85**.
2. **Midpoint of the interval**: To find the most frequently obtained score (which is typically the midpoint of the interval with the highest frequency), we calculate the midpoint of the interval **81 – 85**:
   \[
   \text{Midpoint} = \frac{81 + 85}{2} = 83
   \]
   
Thus, the most frequently obtained score is **83**.

However, looking at the options, **83.5** (option c) is closest to the midpoint of this interval.

### Final Answer:
The most frequent score is **83.5**.

Would you like more details on this calculation or have any other questions?

Here are 5 related questions to expand on this topic:
1. How do you calculate the mean score for this dataset?
2. What is the total number of students in this class?
3. How would you determine the median score from the given frequency table?
4. What is the difference between the mode, median, and mean in this context?
5. How can you create a cumulative frequency table from this data?

**Tip**: When working with frequency distributions, always check both the frequency and the range to identify key statistics like mode, median, and mean.

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This question asks to identify the most frequent score from a frequency distribution of math test scores. The solution involves identifying the interval with the highest frequency and calculating the midpoint. Suitable for Grades 6-8.

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