Exploring Mean, Median, Mode, and Range

What are mean, median, mode, and range collectively used to determine in a set of numbers?

• The outliers in the data

• The skewness of the data

• The center of the data

• The variability of the data

How do you calculate the mean of a set of numbers?

• Subtract the smallest number from the largest

• Add all numbers and divide by the total count

• Arrange the numbers and find the middle value

• Identify the number that appears most frequently

What is the significance of calculating the mean in a data set?

• To find the most common value

• To understand the spread of the data

• To identify the central tendency of the data

• To determine the range of the data

What is the median in a set of numbers?

• The number that appears most frequently

• The middle number after arranging the set in order

• The average of all numbers

• The difference between the highest and lowest numbers

If a data set has an even number of observations, how is the median determined?

• By averaging the two middle numbers

• By selecting the first middle number

• By selecting the second middle number

• By multiplying the two middle numbers

What does the mode represent in a set of data?

• The difference between the highest and lowest numbers

• The number that appears most frequently

• The middle value of the dataset

• The average of all numbers

Can a data set have more than one mode?

• Yes, if multiple numbers appear with the same highest frequency

• No, a set can only have one mode

• No, mode is always the smallest number in the set

• Yes, but only in sets with an even number of observations

If a data set has no repeating numbers, what can be said about its mode?

• The data set does not have a mode

• The mode is the largest number in the set

• The mode is the median of the set

• The mode is the average of all numbers

How is the range of a data set calculated?

• By adding the smallest and largest numbers

• By dividing the largest number by the smallest

• By subtracting the smallest number from the largest

• By counting the number of observations

What does a smaller range in a data set indicate?

• The data points are closely packed together

• The data is skewed towards the higher values

• There is a large variation in the data

• The data is skewed towards the lower values