The Effect of Sample Size

A school's ballet class has $11$ students, with a mean height of $1.51m$ and a range of heights of $21cm$. The school's chess club also has $11$ students, with a mean height of $1.73m$ and a range of heights of $43cm$.

Comment on the differences between the heights of the members of the ballet class and the chess club.

Tom and Jo are comparing their marks in recent English assessments. The $IQR$ for Tom's marks is $13$ and the $IQR$ for Jo's marks is $18$. Tom says that because his $IQR$ is smaller he has performed better in the assessments. Jo says that because her $IQR$ is larger she has performed better in the assessments. Comment on their claims.