Exploring Box and Whisker Plots

What does a box-and-whisker plot primarily show?

• The mean of the data

• The difference between the highest and lowest data points

• The sum of all data points

• The distribution of data items along a number line

What represents the middle 50% of the data in a box-and-whisker plot?

• The box

• The median

• The whiskers

• The quartiles

What does the median represent in a box-and-whisker plot?

• The average value of the dataset

• The total sum of the dataset

• The highest value of the dataset

• The middle value of the dataset

How do you find the median in a set of 13 data points?

• Add all points and divide by 13

• Arrange in order and select the 7th point

• Select the point with the highest value

• Calculate the average of the middle two points

How is the lower quartile found in a dataset?

• By averaging the two middle numbers of the lower half

• By subtracting the median from the smallest number

• By dividing the smallest number by four

• By finding the median of the lower half of the dataset

What is the significance of the upper quartile in a box-and-whisker plot?

• It represents the highest value of the dataset

• It marks the end of the box

• It indicates the median of the upper half of the dataset

• It shows the average value of the dataset

What is the purpose of the whiskers in a box-and-whisker plot?

• To divide the data into quartiles

• To connect the box to the least and greatest data values

• To show the range of the middle 50% of the data

• To indicate the median of the data

What does the length of the whisker indicate in a box-and-whisker plot?

• The variability of the data

• The average value of the data

• The median of the data

• The total number of data points

How do you create a double box-and-whisker plot?

• By creating a single plot and labeling it as double

• By doubling the values of the original data set

• By stacking two plots on top of each other on the same number line

• By plotting two sets of data on separate number lines

In comparing two box-and-whisker plots, what can be inferred if one box is larger than the other?

• The dataset with the larger box has greater variability

• The dataset with the larger box has more data points

• The dataset with the larger box has a higher median

• The dataset with the larger box has a higher total sum