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For the following data set, approximate the sample standard deviation to the nearest hundreth using the grouped data formulas. Height (in inches) Frequency 50 - 52 53 - 55 56 - 58 12 59-61 13 62-64 11

For the following data set, approximate the sample standard deviation to the nearest hundreth using the grouped data formulas. Height (in inches) Frequency 50 - 52 53 - 55 56 - 58 12 59-61 13 62-64 11

MATLAB: An Introduction with Applications
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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For the following data set, approximate the sample standard deviation to the nearest hundredth using the grouped data formulas. | Height (in inches) | Frequency | |--------------------|-----------| | 50 – 52 | 5 | | 53 – 55 | 8 | | 56 – 58 | 12 | | 59 – 61 | 13 | | 62 – 64 | 11 | This table presents the frequency distribution of heights in inches. To calculate the sample standard deviation using grouped data: 1. **Find the midpoint for each class interval.** 2. **Multiply the midpoint by the frequency for each class.** 3. **Calculate the mean of the distribution.** 4. **Compute the squared deviation of each class midpoint from the mean.** 5. **Multiply each squared deviation by the frequency.** 6. **Sum the results from step 5.** 7. **Divide by the total number of samples minus one to obtain the variance.** 8. **Take the square root to find the standard deviation.** Use these steps to approximate the sample standard deviation for the given data.
Transcribed Image Text:For the following data set, approximate the sample standard deviation to the nearest hundredth using the grouped data formulas. | Height (in inches) | Frequency | |--------------------|-----------| | 50 – 52 | 5 | | 53 – 55 | 8 | | 56 – 58 | 12 | | 59 – 61 | 13 | | 62 – 64 | 11 | This table presents the frequency distribution of heights in inches. To calculate the sample standard deviation using grouped data: 1. **Find the midpoint for each class interval.** 2. **Multiply the midpoint by the frequency for each class.** 3. **Calculate the mean of the distribution.** 4. **Compute the squared deviation of each class midpoint from the mean.** 5. **Multiply each squared deviation by the frequency.** 6. **Sum the results from step 5.** 7. **Divide by the total number of samples minus one to obtain the variance.** 8. **Take the square root to find the standard deviation.** Use these steps to approximate the sample standard deviation for the given data.
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