Pupils Per Teacher The frequency distribution shows th United States. Find the variance and standard deviation Class limits Frequency 1 17 11-13 14-16 17-19 20-22 23-25 26-28 Send data to Excel Variance = Standard deviation = 2512 X 3
Pupils Per Teacher The frequency distribution shows th United States. Find the variance and standard deviation Class limits Frequency 1 17 11-13 14-16 17-19 20-22 23-25 26-28 Send data to Excel Variance = Standard deviation = 2512 X 3
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
Please find the variance and standard deviation
Transcribed Image Text:**Pupils Per Teacher Frequency Distribution**
The table below represents a frequency distribution of the number of pupils per teacher in various classes in the United States. We are tasked with finding the variance and standard deviation for this distribution.
| Class Limits | Frequency |
|--------------|-----------|
| 11-13 | 1 |
| 14-16 | 17 |
| 17-19 | 12 |
| 20-22 | 5 |
| 23-25 | 1 |
| 26-28 | 2 |
**Instructions:**
1. Use the provided data to calculate the variance and standard deviation.
2. You can send the data to Excel for calculations by clicking "Send data to Excel."
**To Calculate:**
- **Variance** (\( \sigma^2 \)): Measure the data's dispersion, indicating how spread out the numbers are in the dataset.
- **Standard Deviation** (\( \sigma \)): The square root of the variance, representing the average amount each data point differs from the mean.
**Controls:**
- Buttons: Use the provided buttons to perform calculations and corrections if needed.
Please complete these calculations and enter the results in the designated boxes. Once finished, click "Continue" to proceed.
Expert Solution
Step 1: Information given is
| Class Limits | Frequency |
| 11 - 13 | 1 |
| 14 - 16 | 17 |
| 17 - 19 | 12 |
| 20 - 22 | 5 |
| 23 - 25 | 1 |
| 26 - 28 | 2 |
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