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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,