Question 6 <> Find the 64th percentile, P64, from the following data 3 8 11 13 15 23 26 32 35 36 39 49 53 58 63 66 70 73 74 76 77 78 87 93 95 P64 = %3D 6
Question 6 <> Find the 64th percentile, P64, from the following data 3 8 11 13 15 23 26 32 35 36 39 49 53 58 63 66 70 73 74 76 77 78 87 93 95 P64 = %3D 6
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 6
**Task:** Find the 64th percentile, \( P_{64} \), from the following data set.
### Data:
```
3, 6, 8, 9, 11
13, 15, 23, 26, 32
35, 36, 39, 49, 53
58, 63, 66, 70, 73
74, 76, 77, 78, 87
93, 95
```
**Answer Field:**
\[ P_{64} = \]
*[Submit Question]*
**Instructions for Calculation:**
1. **Sort the Data:** Ensure the data is in numerical order (which is already provided).
2. **Determine Position:** Use the formula for percentiles:
\[
\text{Position} = \frac{N+1}{100} \times 64
\]
where \( N \) is the total number of values in the data set.
3. **Find the Percentile:** Once you compute the position, identify the number in that position. If the position is not a whole number, interpolate between the numbers around it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef4421a9-80f4-44ac-a84c-7924c290e1b7%2Fef0fac49-7625-4974-91b3-b97704a9a6a1%2F8hj8u4q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Question 6
**Task:** Find the 64th percentile, \( P_{64} \), from the following data set.
### Data:
```
3, 6, 8, 9, 11
13, 15, 23, 26, 32
35, 36, 39, 49, 53
58, 63, 66, 70, 73
74, 76, 77, 78, 87
93, 95
```
**Answer Field:**
\[ P_{64} = \]
*[Submit Question]*
**Instructions for Calculation:**
1. **Sort the Data:** Ensure the data is in numerical order (which is already provided).
2. **Determine Position:** Use the formula for percentiles:
\[
\text{Position} = \frac{N+1}{100} \times 64
\]
where \( N \) is the total number of values in the data set.
3. **Find the Percentile:** Once you compute the position, identify the number in that position. If the position is not a whole number, interpolate between the numbers around it.
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