What proportion of people scored worse than 14 better than 22, based on the following sample:
What proportion of people scored worse than 14 better than 22, based on the following sample:
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 3:** *What proportion of people scored worse than 14 or better than 22, based on the following sample?*
The data provided in the sample is organized in a table with three rows and four columns, listing numerical scores:
- First row: 20, 13, 21
- Second row: 11, 28, 14
- Third row: 16, 15, 12
- Fourth row: 26, 18, 17
**Explanation:**
To find the proportion of scores that are either less than 14 or greater than 22, we identify the relevant scores from the table:
- Scores less than 14: 13, 11, 12
- Scores greater than 22: 28, 26
Count these scores and divide by the total number of scores:
- Total scores: 12 (3 rows × 4 columns)
- Scores meeting the condition: 5 (13, 11, 12, 28, 26)
**Proportion Calculation:**
\[ \text{Proportion} = \frac{\text{Number of scores meeting the condition}}{\text{Total number of scores}} = \frac{5}{12} \]
This fraction represents the proportion of individuals in the sample who scored either worse than 14 or better than 22.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26a21d52-7816-4917-a16a-44de3883c3a3%2Fbf6e8281-da96-4e74-81bc-8e4f6d327686%2Fpq4xkxu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3:** *What proportion of people scored worse than 14 or better than 22, based on the following sample?*
The data provided in the sample is organized in a table with three rows and four columns, listing numerical scores:
- First row: 20, 13, 21
- Second row: 11, 28, 14
- Third row: 16, 15, 12
- Fourth row: 26, 18, 17
**Explanation:**
To find the proportion of scores that are either less than 14 or greater than 22, we identify the relevant scores from the table:
- Scores less than 14: 13, 11, 12
- Scores greater than 22: 28, 26
Count these scores and divide by the total number of scores:
- Total scores: 12 (3 rows × 4 columns)
- Scores meeting the condition: 5 (13, 11, 12, 28, 26)
**Proportion Calculation:**
\[ \text{Proportion} = \frac{\text{Number of scores meeting the condition}}{\text{Total number of scores}} = \frac{5}{12} \]
This fraction represents the proportion of individuals in the sample who scored either worse than 14 or better than 22.
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