Quartiles and Data Set Analysis

The video tutorial explains how to find the first and third quartiles of a data set. It begins by ordering the data from least to greatest, then identifies the median to split the data into two halves. The first quartile is calculated by finding the median of the lower half, while the third quartile is found by determining the median of the upper half. The tutorial provides a step-by-step guide to these calculations, ensuring a clear understanding of the process.

What are we trying to find in the given data set?

• Standard Deviation

• Range and Interquartile Range

• First and Third Quartiles

• Mean and Mode

What is the first step in finding quartiles in a data set?

• Calculate the mean

• Determine the mode

• Order the data from least to greatest

• Find the range

How many values are there in the given data set?

• Eight

• Ten

• Seven

• Nine

What is the median of the data set?

• 35

• 43

• 72

• 48

Which values are considered when finding the first quartile?

• Only the median value

• Values below the median

• All values in the data set

• Values above the median

What is the first quartile (Q1) of the data set?

• 22

• 23

• 21

• 35

What is the process to find the third quartile?

• Consider only the median

• Analyze the entire data set

• Examine the lower half of the data

• Look at the upper half of the data

What is the third quartile (Q3) of the data set?

• 75

• 86

• 72

• 78

Which value is directly in the middle of the upper half of the data set?

• 78

• 75

• 72

• 86

How many values are between 72 and 78 in the data set?

• Seven

• Six

• Five

• Four