**Organizing Data into a Frequency Distribution**To effectively analyze the following dataset, we will organize it into a frequency distribution with five classes. This dataset has a minimum entry of 1. We will create a frequency table that includes:- Class Limits- Class Boundaries- Frequencies- Midpoints- Cumulative Frequency- Relative Frequencies**Dataset:**19, 18, 17, 1, 21, 22, 54, 46, 25, 49, 50, 1, 59, 39, 43, 39, 5, 9, 38, 18, 14, 45, 54, 59, 46, 50, 29, 12, 19, 36, 38, 40, 43, 41, 10, 50, 41, 25, 19 **Objective:**Calculate the relative frequency for the 5th class and express it as a percentage (e.g., 12%).**Analysis Steps:**1. Determine the range of the data.2. Calculate the class width (Range/Number of classes).3. Define class limits and boundaries.4. Tally the frequencies for each class.5. Calculate midpoints for each class.6. Accumulate the frequencies to find cumulative frequency.7. Determine the relative frequencies and express them as percentages.**Question:**What is the relative frequency of the 5th class? Express it in percentage form.

Given the data.want to make a frequency distribution table.Here,Want to make 5 classesso

Answered: Calculate Organize the data into a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

**Organizing Data into a Frequency Distribution**

To effectively analyze the following dataset, we will organize it into a frequency distribution with five classes. This dataset has a minimum entry of 1. We will create a frequency table that includes:

- Class Limits
- Class Boundaries
- Frequencies
- Midpoints
- Cumulative Frequency
- Relative Frequencies

**Dataset:**
19, 18, 17, 1, 21, 22, 54, 46, 25, 49, 50, 1, 59, 39, 43, 39, 5, 9, 38, 18, 14, 45, 54, 59, 46, 50, 29, 12, 19, 36, 38, 40, 43, 41, 10, 50, 41, 25, 19

**Objective:**
Calculate the relative frequency for the 5th class and express it as a percentage (e.g., 12%).

**Analysis Steps:**

1. Determine the range of the data.
2. Calculate the class width (Range/Number of classes).
3. Define class limits and boundaries.
4. Tally the frequencies for each class.
5. Calculate midpoints for each class.
6. Accumulate the frequencies to find cumulative frequency.
7. Determine the relative frequencies and express them as percentages.

**Question:**
What is the relative frequency of the 5th class? Express it in percentage form.

Expert Solution

Step 1: Given information

Given the data.

want to make a frequency distribution table.

Here,

$minimum space value space equals space 1$

$maximum space value space equals space 59$

$range space equals space maximum space minus space minimum space space space space space space space space space space space equals 59 minus 1 space space space space space space space space space space space equals 58$

Want to make 5 classes

$class space width space equals space fraction numerator range over denominator number space of space classes end fraction space space space space space space space space space space space space space space space space space space space space space equals 58 over 5 space space space space space space space space space space space space space space space space space space space equals 11.6 space space space space space space space space space space space space space space space space space space space almost equal to 12$