box and whisker practice

How do you find the upper quartile (Q3)?

• Order the data set from greatest to least, then find the median of the lower half of the data.

• Order the data set from least to greatest, then find the median of the upper half of the data.

• Calculate the mean of the entire data set and use that as Q3.

• Identify the mode of the data set and use that as Q3.

What are quartiles in statistics?

• Values that divide a data set into three equal parts.

• Values that divide a data set into four equal parts.

• Values that represent the average of a data set.

• Values that indicate the range of a data set.

What is the maximum value in a data set?

• The smallest number in a data set.

• The average of all numbers in a data set.

• The largest number in a data set.

• The sum of all numbers in a data set.

What does the median represent in a data set?

• The average value of a data set.

• The middle value of a data set when ordered from least to greatest.

• The highest value in a data set.

• The range of values in a data set.

What is a box and whisker plot?

• A type of bar graph that displays categorical data.

• A graphical representation of a data set that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

• A line graph that shows trends over time.

• A pie chart that represents parts of a whole.

What is the first quartile (Q1)?

• The first quartile (Q1) is the median of the lower half of a data set, representing the 25th percentile.

• The first quartile (Q1) is the average of the highest and lowest values in a data set.

• The first quartile (Q1) is the value that separates the highest 25% of the data from the rest.

• The first quartile (Q1) is the median of the entire data set.

What does a box and whisker plot show about outliers?

• Outliers are represented as individual points beyond the whiskers.

• Outliers are always included within the box.

• Outliers are the average of the data points.

• Outliers are the median of the data points.

How do you interpret a box and whisker plot?

• By looking at the mean and mode to understand the data distribution.

• To interpret a box and whisker plot, look at the median, quartiles, and range to understand the distribution and spread of the data.

• By analyzing the frequency of each data point in the dataset.

• By comparing the highest and lowest values only.

What is the interquartile range (IQR)?

• The average of the first and third quartiles.

• The difference between the third quartile (Q3) and the first quartile (Q1).

• The range of the entire dataset.

• The median of the dataset.

How can you tell which box and whisker plot has more variability?

• By comparing the colors of the boxes

• By comparing the lengths of the boxes and whiskers; a longer box or whisker indicates more variability.

• By looking at the median line within the box

• By counting the number of data points in each plot