The table below shows the result of a 5 point musical aptitude test given to a group of first grade students. Score 0 1 3 5 Frequency 12 10 27 49 b) Find the median aptitude score. 5 6 a) Find the average aptitude score. Report your answer to 4 decimal places.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The table below shows the result of a 5-point musical aptitude test given to a group of first-grade students.

| Score | 0 | 1 | 2 | 3 | 4 | 5 |
|-------|---|---|---|---|---|---|
| Frequency | 12 | 10 | 7 | 5 | 9 | 6 |

a) Find the average aptitude score. Report your answer to 4 decimal places. [ ]

b) Find the median aptitude score. [ ]

---

**Explanation of the table:**

The table consists of two rows: "Score" and "Frequency."

1. **Score:** Represents the possible scores on the musical aptitude test, ranging from 0 to 5.
   
2. **Frequency:** Represents the number of students who achieved each corresponding score. For example, 12 students scored 0, 10 students scored 1, and so on.

**Steps to Solve:**

a) **To find the average aptitude score:**
1. Multiply each score by its corresponding frequency.
2. Sum all the products from step 1.
3. Divide the sum by the total number of students (sum of all frequencies).

b) **To find the median aptitude score:**
1. List all the scores in ascending order, considering their frequencies.
2. The median score is the middle value in this list. If there is an even number of observations, the median will be the average of the two middle numbers.
Transcribed Image Text:The table below shows the result of a 5-point musical aptitude test given to a group of first-grade students. | Score | 0 | 1 | 2 | 3 | 4 | 5 | |-------|---|---|---|---|---|---| | Frequency | 12 | 10 | 7 | 5 | 9 | 6 | a) Find the average aptitude score. Report your answer to 4 decimal places. [ ] b) Find the median aptitude score. [ ] --- **Explanation of the table:** The table consists of two rows: "Score" and "Frequency." 1. **Score:** Represents the possible scores on the musical aptitude test, ranging from 0 to 5. 2. **Frequency:** Represents the number of students who achieved each corresponding score. For example, 12 students scored 0, 10 students scored 1, and so on. **Steps to Solve:** a) **To find the average aptitude score:** 1. Multiply each score by its corresponding frequency. 2. Sum all the products from step 1. 3. Divide the sum by the total number of students (sum of all frequencies). b) **To find the median aptitude score:** 1. List all the scores in ascending order, considering their frequencies. 2. The median score is the middle value in this list. If there is an even number of observations, the median will be the average of the two middle numbers.
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