Constructing Box and Whisker Plots in Statistics

The video tutorial explains how a restaurant owner can analyze the distances patrons travel to reach his restaurant. It suggests using a box and whisker plot to visualize the spread and median of the data. The tutorial guides viewers through ordering the data, calculating the median, and constructing the plot, highlighting the importance of understanding data spread and central tendency.

Why does the restaurant owner want to gather data about the distances traveled by patrons?

• To find out the most popular dishes

• To understand where his patrons are coming from

• To determine the busiest days of the week

• To calculate the average spending per customer

What key information does the owner want to visualize with the graph?

• The total number of patrons

• The spread and median of distances traveled

• The peak hours of operation

• The average distance traveled

Which type of graph is suggested to visualize both the spread and the median of the data?

• Histogram

• Pie Chart

• Line Graph

• Box and Whisker Plot

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

• Drawing the number line

• Ordering the data

• Finding the mode

• Calculating the mean

How many data points are there in the dataset?

• 17

• 16

• 18

• 15

What is the median of the entire dataset?

• 5

• 8

• 6

• 7

What is the median of the bottom half of the dataset?

• 3

• 2.5

• 3.5

• 2

What is the median of the top half of the dataset?

• 11

• 12

• 12.5

• 14

What does the box part of the box and whisker plot represent?

• The outliers

• The entire dataset

• The middle half of the data

• The range of the data

What do the whiskers in a box and whisker plot show?

• The median of the data

• The interquartile range

• The range of the data

• The mode of the data