Complete the final two columns in the following frequency distribution and then find percentiles and percentile ranks requested: **Title: Understanding Frequency Distributions and Percentile Ranks****Objective:** Learn how to complete a frequency distribution table and calculate percentile ranks.**Instructions:**Complete the final two columns in the following frequency distribution table and then find the percentiles and percentile ranks requested.| X | f | cf | c% ||---|---|----|----|| 5 | 2 | | || 4 | 5 | | || 3 | 3 | | |**Tasks:**a. What is the percentile rank for X = 1.5?b. What is the percentile rank for X = 4.5?**Explanation:**- **X:** Represents the data points or scores.- **f (Frequency):** Number of times the data point occurs.- **cf (Cumulative Frequency):** Total number of data points that are less than or equal to a given data point.- **c% (Cumulative Percentage):** Percentage of data points that are less than or equal to a given data point.**Steps to Complete:**1. Calculate the cumulative frequency (cf) by adding the frequencies from the top row downward.2. Calculate the cumulative percentage (c%) using the formula: $ c\% = \left(\frac{\text{cf}}{\text{Total Frequency}}\right) \times 100 $.**Challenge:**- After filling out the table, use the cumulative percentages to calculate the requested percentile ranks for given values of X.

Cumulative frequency and Cumulative percentage: Cumulative frequencies are obtained by adding each…

A 17. Complete the final two columns in the following frequency distribution table and then find the percentiles and percentile ranks requested: X cf c% 4. 6. 4 1 3 Sampe a. What is the percentile rank for X=1.5? b. What is the percentile rank for X=4.5?

A 17. Complete the final two columns in the following frequency distribution table and then find the percentiles and percentile ranks requested: X cf c% 4. 6. 4 1 3 Sampe a. What is the percentile rank for X=1.5? b. What is the percentile rank for X=4.5?

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

Complete the final two columns in the following frequency distribution and then find percentiles and percentile ranks requested:

**Title: Understanding Frequency Distributions and Percentile Ranks**

**Objective:** Learn how to complete a frequency distribution table and calculate percentile ranks.

**Instructions:**

Complete the final two columns in the following frequency distribution table and then find the percentiles and percentile ranks requested.

| X | f | cf | c% |
|---|---|----|----|
| 5 | 2 | | |
| 4 | 5 | | |
| 3 | 3 | | |

**Tasks:**

a. What is the percentile rank for X = 1.5?
b. What is the percentile rank for X = 4.5?

**Explanation:**

- **X:** Represents the data points or scores.
- **f (Frequency):** Number of times the data point occurs.
- **cf (Cumulative Frequency):** Total number of data points that are less than or equal to a given data point.
- **c% (Cumulative Percentage):** Percentage of data points that are less than or equal to a given data point.

**Steps to Complete:**

1. Calculate the cumulative frequency (cf) by adding the frequencies from the top row downward.
2. Calculate the cumulative percentage (c%) using the formula: $ c\% = \left(\frac{\text{cf}}{\text{Total Frequency}}\right) \times 100 $.

**Challenge:**

- After filling out the table, use the cumulative percentages to calculate the requested percentile ranks for given values of X.

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