Box and Whisker Plot Quiz

Measuring Data Distribution

• There are two types of data: grouped data and ungrouped data
• Grouped data is categorized into intervals or classes, while ungrouped data consists of individual values

Calculating Quartiles

• The lower quartile (Q1) is the median of the lower half of the data
• The median quartile (Q2) is the middle value of the data, separating the lower half from the upper half
• The upper quartile (Q3) is the median of the upper half of the data

Calculating Quartiles for Ungrouped Data

• To calculate quartiles for ungrouped data, arrange the data in order from smallest to largest
• Q1 is the value at the 25th percentile, Q2 is the median, and Q3 is the value at the 75th percentile

Calculating Quartiles for Grouped Data

• To calculate quartiles for grouped data, use the cumulative frequency to find the median and then the quartiles
• The median class is the class that contains the median, and the quartiles are the median of the lower and upper halves of the data

Box and Whisker Plot

• A box and whisker plot is a graphical representation of the data distribution
• The box represents the interquartile range (IQR), with Q1 and Q3 at the ends and Q2 in the middle
• The whiskers represent the range of the data, with the upper whisker extending to the maximum value and the lower whisker extending to the minimum value