Understanding Mean Absolute Deviation and Statistics

What does the Mean Absolute Deviation (MAD) represent in a dataset?

• The sum of all data points

• The average distance of each data point from the mean

• The maximum value in the dataset

• The difference between the highest and lowest values

If a student's test score is 70 and the average score is 82, what is the deviation from the mean?

• 8

• 14

• 10

• 12

How do you calculate the Mean Absolute Deviation for a set of numbers?

• Multiply all numbers together

• Find the average of the deviations from the mean

• Subtract the smallest number from the largest

• Add all numbers and divide by the count

Which tool can be used to calculate the Mean Absolute Deviation easily?

• Desmos

• Spreadsheet

• Calculator

• Graphing paper

What is the five-number summary in statistics?

• Mean, median, mode, range, and standard deviation

• Minimum, Q1, median, Q3, and maximum

• Variance, standard deviation, mean, median, and mode

• Sum, product, difference, quotient, and remainder

What is the interquartile range (IQR) in a dataset?

• The difference between Q3 and Q1

• The difference between the maximum and minimum values

• The sum of Q1 and Q3

• The average of all data points

How is the range of a dataset calculated?

• By adding the maximum and minimum values

• By finding the average of all values

• By subtracting the minimum value from the maximum value

• By multiplying the maximum and minimum values

What does it mean if a dataset has no mode?

• No number repeats

• The mean is zero

• The dataset is empty

• All numbers are the same

How can you identify outliers in a dataset using Desmos?

• By calculating the mean

• By creating a box plot

• By finding the range

• By listing all data points

What is the mean of the dataset 12, 15, 10, 20, 13, and 8?

• 15

• 12

• 13

• 14