Measures of Central Tendency and Range

In this video, Mr. J explains how to calculate the mean, median, mode, and range of a dataset. He begins by ordering the data and then demonstrates how to find the mean by summing the numbers and dividing by the count. The median is identified as the middle number in an ordered set, while the mode is the most frequently occurring number. The range is calculated by subtracting the smallest number from the largest. Mr. J provides clear examples and additional resources for further learning.

What is the primary purpose of calculating mean, median, mode, and range?

• To provide more information and understanding of data

• To eliminate outliers in data

• To make data look more complex

• To confuse data analysts

How do you calculate the mean of a data set?

• By subtracting the smallest number from the largest

• By adding all numbers and dividing by the count of numbers

• By identifying the most frequent number

• By finding the middle number

If a data set has an odd number of values, how do you find the median?

• By averaging the two middle numbers

• By selecting the largest number

• By selecting the middle number

• By choosing the smallest number

What should you do if a data set has an even number of values when finding the median?

• Select the smallest number

• Select the largest number

• Average the two middle numbers

• Choose any number

What is the mode of a data set?

• The number that appears most frequently

• The average of all numbers

• The difference between the largest and smallest numbers

• The middle number

Can a data set have more than one mode?

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

• No, there can only be one mode

• Yes, but only if all numbers are different

• No, mode is always unique

How is the range of a data set calculated?

• By adding all numbers together

• By finding the average of all numbers

• By subtracting the smallest number from the largest

• By identifying the most frequent number

What does the range tell us about a data set?

• The average value of the data

• The most common value

• How spread out the data is

• The middle value of the data

If the largest number in a data set is 97 and the smallest is 72, what is the range?

• 25

• 72

• 169

• 97

Which of the following is NOT a measure of central tendency?

• Mean

• Mode

• Range

• Median