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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Answered: For the following data set, approximate…

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 hundreth using the grouped data formulas. Height (in inches) Frequency 50 - 52 53 - 55 56 - 58 12 59-61 13 62-64 11