**Understanding Percentiles** To determine the percentile for a specific data value \( x \), you can use the following formula: \[ \text{Percentile of } x = \left( \frac{\text{number of data values less than } x}{\text{total number of data values}} \right) \times 100 \] **Example Problem:** Given the cholesterol levels (in milligrams per deciliter) of 30 adults: \[ 154, 156, 165, 167, 170, 171, 172, 180, 184, 185, \] \[ 189, 189, 190, 192, 195, 198, 200, 200, 200, 200, \] \[ 205, 205, 211, 215, 220, 225, 238, 255, 265 \] Find the percentile corresponding to a cholesterol level of 198. **Solution Steps:** 1. **Count Values Less Than 198**: - There are 15 cholesterol levels less than 198. 2. **Calculate Percentile**: \[ \text{Percentile} = \left( \frac{15}{30} \right) \times 100 = 50 \] This means a cholesterol level of 198 is at the 50th percentile. **Multiple Choice Answers:** - A. 58 - B. 50 - C. 12 - D. 33 **Correct Answer: B. 50**
**Understanding Percentiles** To determine the percentile for a specific data value \( x \), you can use the following formula: \[ \text{Percentile of } x = \left( \frac{\text{number of data values less than } x}{\text{total number of data values}} \right) \times 100 \] **Example Problem:** Given the cholesterol levels (in milligrams per deciliter) of 30 adults: \[ 154, 156, 165, 167, 170, 171, 172, 180, 184, 185, \] \[ 189, 189, 190, 192, 195, 198, 200, 200, 200, 200, \] \[ 205, 205, 211, 215, 220, 225, 238, 255, 265 \] Find the percentile corresponding to a cholesterol level of 198. **Solution Steps:** 1. **Count Values Less Than 198**: - There are 15 cholesterol levels less than 198. 2. **Calculate Percentile**: \[ \text{Percentile} = \left( \frac{15}{30} \right) \times 100 = 50 \] This means a cholesterol level of 198 is at the 50th percentile. **Multiple Choice Answers:** - A. 58 - B. 50 - C. 12 - D. 33 **Correct Answer: B. 50**
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
![**Understanding Percentiles**
To determine the percentile for a specific data value \( x \), you can use the following formula:
\[
\text{Percentile of } x = \left( \frac{\text{number of data values less than } x}{\text{total number of data values}} \right) \times 100
\]
**Example Problem:**
Given the cholesterol levels (in milligrams per deciliter) of 30 adults:
\[ 154, 156, 165, 167, 170, 171, 172, 180, 184, 185, \]
\[ 189, 189, 190, 192, 195, 198, 200, 200, 200, 200, \]
\[ 205, 205, 211, 215, 220, 225, 238, 255, 265 \]
Find the percentile corresponding to a cholesterol level of 198.
**Solution Steps:**
1. **Count Values Less Than 198**:
- There are 15 cholesterol levels less than 198.
2. **Calculate Percentile**:
\[
\text{Percentile} = \left( \frac{15}{30} \right) \times 100 = 50
\]
This means a cholesterol level of 198 is at the 50th percentile.
**Multiple Choice Answers:**
- A. 58
- B. 50
- C. 12
- D. 33
**Correct Answer: B. 50**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9e160d3-5f97-49cf-bcaa-ed4b67fa5615%2F7a6b0718-e115-480b-a4dd-1922a2f5ca55%2Ffce0o8d.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Percentiles**
To determine the percentile for a specific data value \( x \), you can use the following formula:
\[
\text{Percentile of } x = \left( \frac{\text{number of data values less than } x}{\text{total number of data values}} \right) \times 100
\]
**Example Problem:**
Given the cholesterol levels (in milligrams per deciliter) of 30 adults:
\[ 154, 156, 165, 167, 170, 171, 172, 180, 184, 185, \]
\[ 189, 189, 190, 192, 195, 198, 200, 200, 200, 200, \]
\[ 205, 205, 211, 215, 220, 225, 238, 255, 265 \]
Find the percentile corresponding to a cholesterol level of 198.
**Solution Steps:**
1. **Count Values Less Than 198**:
- There are 15 cholesterol levels less than 198.
2. **Calculate Percentile**:
\[
\text{Percentile} = \left( \frac{15}{30} \right) \times 100 = 50
\]
This means a cholesterol level of 198 is at the 50th percentile.
**Multiple Choice Answers:**
- A. 58
- B. 50
- C. 12
- D. 33
**Correct Answer: B. 50**
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