Statistical Analysis of Family Size

The video tutorial covers a project by students tasked with finding the mean, variance, and standard deviation of family sizes among 30 students from Holy Cross College. The process involves data collection using Google Forms, setting up a table for calculations, and computing statistical measures. The results are visualized through a histogram and curve, concluding with a summary of findings.

What are the main tasks assigned to the students in the presentation?

• Conducting a survey on favorite subjects

• Finding the mean, variance, and standard deviation

• Analyzing the impact of social media

• Studying the effects of climate change

How did the students collect data for their research?

• By conducting interviews

• Using Google Forms

• Through phone surveys

• By observing family gatherings

What is the purpose of the six-column table in the presentation?

• To list favorite movies

• To organize family photos

• To calculate mean, variance, and standard deviation

• To track daily activities

What is the first step in calculating the mean from the data?

• Multiplying the first column by the second column

• Subtracting data values

• Dividing the total of the third column by the total of the second column

• Squaring the results of the fourth column

What is the mean family size calculated from the data?

• 4.5

• 5.06

• 6.2

• 7.1

How is the variance calculated in the presentation?

• By squaring the results of the fourth column

• By multiplying the previous column by frequency

• By dividing the total values of the sixth and second column

• By adding all data values

What is the standard deviation of the family size data?

• 1.23

• 2.34

• 3.45

• 4.56

What is the role of the fifth column in the table?

• To display favorite colors

• To calculate total family size

• To square the results of the fourth column

• To list student names

What is the final step in calculating the standard deviation?

• Multiplying the first column by the second column

• Adding all data values

• Subtracting data values

• Taking the square root of the division result

How many students have a family size of four members?

• Nine students

• Eight students

• Two students

• One student