5. Write a function called hw5_problem5 that takes a vector input and returns the median of the elements. For sorted vectors with an odd number of elements, the median is defined as the value of the middle element. For sorted vectors with an even number of elements, the median is the mean of the middle two elements. You are not allowed to use the built-in function median, but you can use mean and sort or any other functions. >>hw5_problem5 (1:4) ans = 2.5000 >>hw5_problem5 (1:5) ans =
5. Write a function called hw5_problem5 that takes a vector input and returns the median of the elements. For sorted vectors with an odd number of elements, the median is defined as the value of the middle element. For sorted vectors with an even number of elements, the median is the mean of the middle two elements. You are not allowed to use the built-in function median, but you can use mean and sort or any other functions. >>hw5_problem5 (1:4) ans = 2.5000 >>hw5_problem5 (1:5) ans =
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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This is matlab
![### Problem 5: Creating a Custom Median Function
Develop a function named `hw5_problem5` that processes a vector input to calculate and return the median. The function should handle the following scenarios:
- **Odd Number of Elements:** For sorted vectors, the median is the middle element.
- **Even Number of Elements:** For sorted vectors, the median is the average of the two central elements.
**Restrictions:** You cannot utilize the built-in `median` function, although `mean` and `sort` can be used alongside other functions.
#### Example Usage:
1. **Input Vector:** `[1:4]`
- **Output:** `2.5000`
2. **Input Vector:** `[1:5]`
- **Output:** `3`
This task involves implementing logic to manually determine medians, which is a valuable exercise for understanding basic statistical operations without relying on automated tools.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc42f8bf5-c4ea-440d-bf0d-c8a9270c2068%2F0e323c19-091f-4380-8dc5-50191fd19a3d%2Frsuzvzc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 5: Creating a Custom Median Function
Develop a function named `hw5_problem5` that processes a vector input to calculate and return the median. The function should handle the following scenarios:
- **Odd Number of Elements:** For sorted vectors, the median is the middle element.
- **Even Number of Elements:** For sorted vectors, the median is the average of the two central elements.
**Restrictions:** You cannot utilize the built-in `median` function, although `mean` and `sort` can be used alongside other functions.
#### Example Usage:
1. **Input Vector:** `[1:4]`
- **Output:** `2.5000`
2. **Input Vector:** `[1:5]`
- **Output:** `3`
This task involves implementing logic to manually determine medians, which is a valuable exercise for understanding basic statistical operations without relying on automated tools.
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