### Distribution of Hours Spent Doing ChoresThe distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." 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.[Insert link to view the pie chart]#### Frequency Distribution Table| Class | Frequency, f ||-------|--------------|| 0-4 | || 5-9 | || 10-14 | || 15-19 | || 20-24 | || 25-29 | || 30+ | |#### Estimation of Statistical Measures1. **Sample Mean (x̄):** \[ \bar{x} = \text{ [Type an integer or decimal rounded to the nearest tenth as needed.]} \]2. **Sample Standard Deviation (s):** \[ s = \text{ [Type an integer or decimal rounded to the nearest tenth as needed.]} \]### Instructions for Calculations1. **Constructing the Frequency Distribution:** - Begin by filling in the frequency (f) for each class interval based on the data provided in the pie chart.2. **Estimation of Sample Mean (x̄):** - Calculate the midpoint for each class interval. - Multiply the midpoint by the frequency for each class, and then sum these products. - Divide the sum by the total number of frequencies to get the sample mean.3. **Estimation of Sample Standard Deviation (s):** - Calculate the squared difference between each midpoint and the sample mean. - Multiply these squared differences by the frequencies of each class. - Sum these values and divide by the total number of frequencies minus one. - Take the square root of the result to obtain the sample standard deviation. This exercise demonstrates how to analyze a distribution using a frequency distribution table and compute essential statistical measures. The pie chart visualization assists in understanding the distribution of time spent on chores by different individuals within a sample. ### Weekly Study Hours AnalysisThe weekly study hours of students have been analyzed and presented in a pie chart. The pie chart visually represents the distribution of study hours among different groups of students. The chart is divided into sections, each corresponding to a range of study hours and the number of students within that range. Below is a detailed description of the chart:#### Pie Chart Key- **0-4 hours**: Represented in blue (6 people)- **5-9 hours**: Represented in red (10 people)- **10-14 hours**: Represented in yellow-green (25 people)- **15-19 hours**: Represented in light green (19 people)- **20-24 hours**: Represented in turquoise (15 people)- **25-29 hours**: Represented in purple (9 people)- **30+ hours**: Represented in pink (4 people)#### Analysis- **Most Common Study Range**: The majority of students (25) fall in the 10-14 hours range.- **Least Common Study Range**: Only 4 students study for more than 30 hours a week.- **Varied Study Habits**: The data shows a wide distribution of study habits, indicating a mix of study intensities among students.### ConclusionThis analysis provides an insightful look into the study patterns of students, which can be pivotal for academic planning and resource allocation.### [Print](#) | [Done](#)---This data supports educational institutions in understanding student study patterns, which is crucial for optimizing academic support services.

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Description: ### Distribution of Hours Spent Doing ChoresThe distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." Make a frequency distribution for the d

The frequency for any interval or class is equals to the number of observations that lies in that…

Math

Statistics

The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." 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. wClick the icon to view the pie chart. First construct the frequency distribution. Class Frequency, f 0-4 5-9 10-14 15-19 20-24 25-29 30+ Find an approximation for the sample mean. x= (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. s= (Type an integer or decimal rounded to the nearest tenth as needed.)

The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." 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. wClick the icon to view the pie chart. First construct the frequency distribution. Class Frequency, f 0-4 5-9 10-14 15-19 20-24 25-29 30+ Find an approximation for the sample mean. x= (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. s= (Type an integer or decimal rounded to the nearest tenth as needed.)

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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The distribution of the number of hours that a random sample of people spend doing chores per week is shown in the pie chart. Use 32 as the midpoint for "30+ hours." 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. Click the icon to view the pie chart. First construct the frequency distribution. Class Frequency, f 0-4 5-9 10-14 15-19 20-24 25-29 30+ Find an approximation for the sample mean. X= (Type an integer or decimal rounded to the nearest tenth as needed.) Find an approximation for the sample standard deviation. S= (Type an integer or decimal rounded to the nearest tenth as needed.) Weekly Chore Hours 0-4 hours (3 people) 5-9 hours (14 people) 10-14 hours (21 people) 15-19 hours (18 people) 20-24 hours (17 people) 25-29 hours (11 people) 30+ hours (7 people) - X -
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