Understanding the Median

In this video, Mr. J explains how to find the median of a data set. He introduces the concept by associating 'median' with 'medium' to remember it as the middle value. The video covers two examples: one with an odd number of data points and another with an even number. For the odd set, the median is the middle number, while for the even set, it's the average of the two middle numbers. Mr. J emphasizes the importance of ordering the data and double-checking the results.

What is the median of a data set?

• The average of all numbers in the set

• The largest number in the set

• The smallest number in the set

• The middle number of the set

How does the word 'medium' help in remembering the concept of median?

• Medium sounds like median and means middle size

• Medium is the smallest size

• Medium is the largest size

• Medium is unrelated to median

In the first example, what is the first step to find the median?

• Find the average of all numbers

• List numbers from least to greatest

• List numbers from greatest to least

• Add all numbers together

What is the median in the first example with the data set: 2, 3, 3, 3, 5, 7, 8, 9, 10?

• 5

• 3

• 7

• 9

How can you verify that you have found the correct median in a data set?

• Ensure the median is an even number

• Check if the median is the largest number

• Ensure equal numbers on both sides of the median

• Check if the median is the smallest number

In the second example, what is the first step to find the median?

• Find the average of all numbers

• List numbers from least to greatest

• List numbers from greatest to least

• Add all numbers together

What do you do when there is an even number of data points in a set?

• Ignore the middle numbers

• Find the average of the two middle numbers

• Choose the smallest number as the median

• Choose the largest number as the median

In the second example, what is the median of the data set: 73, 82, 83, 87, 90, 96?

• 90

• 82

• 85

• 87

Why is it important to check the balance of numbers on either side of the median?

• To make sure the median is an even number

• To ensure the median is the largest number

• To confirm the median is correctly positioned

• To ensure the median is the smallest number

What is the final step in finding the median of an even-numbered data set?

• Divide the sum of the two middle numbers by two

• Add all numbers together

• Choose the largest number

• Choose the smallest number