Determine and Interpret Measures of Center and Variation

What is the measure of center that represents the middle value in a data set?

• mode

• mean

• range

• median

How is the mean calculated for a set of numbers?

• Subtract the largest number from the smallest number

• Divide the sum of the numbers by the product of the numbers

• Multiply all numbers together and then take the square root

• Add all numbers together, then divide by the total count of numbers.

Define the median and explain how it is different from the mean.

• The median is the sum of all numbers in a list.

• The median is the same as the mode.

• The median is the middle value in a list of numbers when they are ordered from smallest to largest. It is different from the mean because the mean is the average of all the numbers in the list.

• The median is the highest value in a list of numbers.

What is the mode of a data set and how is it determined?

• The mode is the smallest value in the data set

• The mode is the middle value of the data set when arranged in ascending order

• The mode is the average of the data set, calculated by adding all values and dividing by the total count

• The mode of a data set is the value that appears most frequently. It is determined by counting the frequency of each value and identifying the one with the highest count.

Explain the concept of range as a measure of variation.

• The range is calculated by dividing the maximum value by the minimum value.

• The range is calculated by adding the minimum value to the maximum value.

• The range is calculated by finding the average of all values in the dataset.

• The range is calculated by subtracting the minimum value from the maximum value.

Calculate the mean of the following numbers: 10, 15, 20, 25, 30.

• 28

• 20

• 22

• 18

Find the median of the following set of numbers: 5, 7, 9, 11, 13.

• 7

• 15

• 11

• 9

Identify the mode in the series: 3, 5, 7, 5, 9, 5, 11.

• 7

• 9

• 3

• 5

If the range of a data set is 15, what does this indicate about the spread of the data?

• The data set has a spread of 10 units.

• The data set has a spread of 5 units.

• The data set has a spread of 20 units.

• The data set has a spread of 15 units.

Compare and contrast the mean, median, and mode as measures of center.

• Mean is the highest value, median is the lowest value, and mode is the middle value

• Mean is the sum of all numbers divided by the count, median is the middle value when numbers are ordered, and mode is the most frequent value.

• Mean is the middle value, median is the most frequent value, and mode is the sum of all numbers divided by the count

• Mean is the most frequent value, median is the sum of all numbers divided by the count, and mode is the middle value