Understanding Quartiles and Box Plots

Vincent explains how to construct a box and whisker plot. He emphasizes the importance of organizing data from least to greatest and demonstrates how to find the median, first quartile, and third quartile. The video concludes with a step-by-step guide to drawing the box and whisker plot, using the calculated values.

What is the first step in constructing a box and whisker plot?

• Organizing the data from least to greatest

• Calculating the range of the data set

• Finding the mean of the data set

• Identifying the mode of the data set

Why is it important to organize data from least to greatest before constructing a box and whisker plot?

• To determine the range

• To easily find the mode

• To correctly identify the median and quartiles

• To calculate the mean accurately

How do you find the median in a data set with an even number of terms?

• Choose the highest number

• Select the middle number

• Choose the lowest number

• Average the two middle numbers

In a data set of 12 numbers, which two numbers are averaged to find the median?

• The smallest and largest numbers

• The two middle numbers

• The first two numbers

• The first and last numbers

What is the median of the data set if the middle two numbers are 81 and 84?

• 82

• 82.5

• 83

• 83.5

What is the first quartile in a data set?

• The median of the entire data set

• The median of the lower half of the data

• The smallest number in the data set

• The largest number in the data set

How do you find the first quartile in a data set?

• Average the smallest and largest numbers

• Select the smallest number

• Select the largest number

• Find the median of the lower half of the data

If the lower half of a data set is 59, 63, 72, and 81, what is the first quartile?

• 63

• 67.5

• 72

• 81

What is the third quartile in a data set?

• The median of the entire data set

• The median of the upper half of the data

• The smallest number in the data set

• The largest number in the data set

How do you find the third quartile in a data set?

• Select the smallest number

• Find the median of the upper half of the data

• Select the largest number

• Average the smallest and largest numbers