The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 41 years old. Percentile of 41= (Round to the nearest integer as needed.) 和的
The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 41 years old. Percentile of 41= (Round to the nearest integer as needed.) 和的
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
![The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 41 years old.
```
28 29 30 31 33 33 35 35 35 35
36 39 39 39 40 41 41 41 43 44
47 48 52 52 53 53 54 54 55 57
58 59 60 62 63 64
```
**Percentile of 41 = [ ] (Round to the nearest integer as needed.)**
**Explanation:**
This exercise involves finding the percentile rank of the age 41 among 36 executives. Percentiles indicate the relative standing of a value within a data set. To calculate the percentile of the age 41:
1. Sort the data set in ascending order (as shown).
2. Count the number of values below the age of 41.
3. Use the formula for percentile rank:
\[
\text{Percentile} = \left( \frac{\text{Number of values below 41} + 0.5 \times \text{Number of 41's}}{\text{Total number of values}} \right) \times 100
\]
4. Round to the nearest integer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7eace22-cd3b-4738-9cc0-ae8710830b21%2Ff21f0ca9-3846-4bff-9826-2a4cd7b98a17%2Fvwxti99_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 41 years old.
```
28 29 30 31 33 33 35 35 35 35
36 39 39 39 40 41 41 41 43 44
47 48 52 52 53 53 54 54 55 57
58 59 60 62 63 64
```
**Percentile of 41 = [ ] (Round to the nearest integer as needed.)**
**Explanation:**
This exercise involves finding the percentile rank of the age 41 among 36 executives. Percentiles indicate the relative standing of a value within a data set. To calculate the percentile of the age 41:
1. Sort the data set in ascending order (as shown).
2. Count the number of values below the age of 41.
3. Use the formula for percentile rank:
\[
\text{Percentile} = \left( \frac{\text{Number of values below 41} + 0.5 \times \text{Number of 41's}}{\text{Total number of values}} \right) \times 100
\]
4. Round to the nearest integer.
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