Exploring Mean Absolute Deviation in Data and Statistics

What is the purpose of calculating the mean in the dataset?

• To identify the gum-chewer who blew the least bubbles

• To determine the highest number of bubbles blown

• To calculate the total number of bubbles

• To find the average number of bubbles blown

How many data points are used to calculate the mean?

• Three

• Four

• Five

• Six

What is the total number of bubbles blown by all participants?

• 12

• 18

• 14

• 16

What does the mean absolute deviation indicate about the dataset?

• The range of the data

• The average distance of each data point from the mean

• The total dispersion of the data

• The median value of the dataset

Which participant had an absolute deviation of zero?

• Tara

• Jada

• Sophia

• Manueala

Which participant's bubbles count was used to demonstrate the calculation of absolute deviation?

• Sophia

• All of the above

• Manueala

• Jada

What is the mean absolute deviation of the dataset?

• 1.0

• 1.5

• 2.0

• 2.5

How is the mean absolute deviation calculated?

• Average of absolute deviations from the mean

• Sum of all deviations divided by the number of data points

• Average of maximum deviations

• Difference between the highest and lowest values

What does the absolute value in the mean absolute deviation calculation signify?

• It finds the root of each deviation

• It squares each deviation

• It multiplies all deviations by two

• It converts all deviations to positive numbers

Why is the mean absolute deviation important in data analysis?

• It identifies the middle value of the dataset

• It calculates the total of all data points

• It indicates how spread out the data points are from the mean

• It shows the most frequent data point