The distribution of the tuitions, fees, and room and board charges of a random sample of public 4-year degree- granting postsecondary institutions is shown in the pie chart. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Use $26249.50 as the midpoint for "$25,000 or more." Complete the frequency distribution for the data. (Type integers or decimals. Do not round.) X Class $15,000-$17,499 16249.5 $17,500-$19,999 18749.5 $20,000-$22,499 21249.5 $22,500 - $24,999 23749.5 $25,000 or more 26249.5 The sample mean is x = $20892.36 Round to the nearest cent.) The sample standard deviation is s = $ Round to the nearest cent.) 10 13 12 C $15,000-$17,499: 10 $17,500-$19,999: 9 $20,000-$22,499: 13 $22,500-$24,999: 12 $25,000 or more: 5
The distribution of the tuitions, fees, and room and board charges of a random sample of public 4-year degree- granting postsecondary institutions is shown in the pie chart. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Use $26249.50 as the midpoint for "$25,000 or more." Complete the frequency distribution for the data. (Type integers or decimals. Do not round.) X Class $15,000-$17,499 16249.5 $17,500-$19,999 18749.5 $20,000-$22,499 21249.5 $22,500 - $24,999 23749.5 $25,000 or more 26249.5 The sample mean is x = $20892.36 Round to the nearest cent.) The sample standard deviation is s = $ Round to the nearest cent.) 10 13 12 C $15,000-$17,499: 10 $17,500-$19,999: 9 $20,000-$22,499: 13 $22,500-$24,999: 12 $25,000 or more: 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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![### Tuition and Fees Distribution at Public 4-Year Postsecondary Institutions
The distribution of the tuitions, fees, and room and board charges of a random sample of public 4-year degree-granting postsecondary institutions is shown in the pie chart below. The pie chart details the frequency of institutions within specified ranges of total costs. Using this data, we will create a frequency distribution and calculate the sample mean and sample standard deviation.
#### Frequency Distribution
Complete the frequency distribution for the data as follows (type integers or decimals; do not round):
| Class | x | f |
|------------------------|-----------|-----|
| $15,000 – $17,499 | 16249.5 | 10 |
| $17,500 – $19,999 | 18749.5 | 9 |
| $20,000 – $22,499 | 21249.5 | 13 |
| $22,500 – $24,999 | 23749.5 | 12 |
| $25,000 or more | 26249.5 | 5 |
#### Calculations
- **Sample Mean**
The sample mean \(\bar{x}\) is calculated as follows:
\[
\bar{x} = \$20892.36 \text{ (rounded to the nearest cent)}
\]
- **Sample Standard Deviation**
The sample standard deviation \(s\) calculation is yet to be completed and will be shown here once computed. (Round to the nearest cent).
#### Explanation of Pie Chart
The provided pie chart visually represents the relative frequencies of the different cost classes.
- The largest segment (green, 27.1%) represents the $20,000 - $22,499 class with 13 institutions.
- The yellow segment (25.0%) represents the $22,500 - $24,999 class with 12 institutions.
- The blue segment (20.8%) represents the $15,000 - $17,499 class with 10 institutions.
- The red segment (18.8%) represents the $17,500 - $19,999 class with 9 institutions.
- The purple segment (8.3%) represents $25,000 or more with 5 institutions.
This visual tool helps quickly understand the proportion of institutions falling within each cost range.
For a more detailed analysis, completing](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09dd8e29-942c-4a28-8d6e-4fa3e84656fc%2F82752480-855f-46a9-b5f8-bb78832876c6%2Fbu0rvvb_processed.png&w=3840&q=75)
Transcribed Image Text:### Tuition and Fees Distribution at Public 4-Year Postsecondary Institutions
The distribution of the tuitions, fees, and room and board charges of a random sample of public 4-year degree-granting postsecondary institutions is shown in the pie chart below. The pie chart details the frequency of institutions within specified ranges of total costs. Using this data, we will create a frequency distribution and calculate the sample mean and sample standard deviation.
#### Frequency Distribution
Complete the frequency distribution for the data as follows (type integers or decimals; do not round):
| Class | x | f |
|------------------------|-----------|-----|
| $15,000 – $17,499 | 16249.5 | 10 |
| $17,500 – $19,999 | 18749.5 | 9 |
| $20,000 – $22,499 | 21249.5 | 13 |
| $22,500 – $24,999 | 23749.5 | 12 |
| $25,000 or more | 26249.5 | 5 |
#### Calculations
- **Sample Mean**
The sample mean \(\bar{x}\) is calculated as follows:
\[
\bar{x} = \$20892.36 \text{ (rounded to the nearest cent)}
\]
- **Sample Standard Deviation**
The sample standard deviation \(s\) calculation is yet to be completed and will be shown here once computed. (Round to the nearest cent).
#### Explanation of Pie Chart
The provided pie chart visually represents the relative frequencies of the different cost classes.
- The largest segment (green, 27.1%) represents the $20,000 - $22,499 class with 13 institutions.
- The yellow segment (25.0%) represents the $22,500 - $24,999 class with 12 institutions.
- The blue segment (20.8%) represents the $15,000 - $17,499 class with 10 institutions.
- The red segment (18.8%) represents the $17,500 - $19,999 class with 9 institutions.
- The purple segment (8.3%) represents $25,000 or more with 5 institutions.
This visual tool helps quickly understand the proportion of institutions falling within each cost range.
For a more detailed analysis, completing
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