mean in relation to the five number summary

450 Views Asked by At

Can the mean of a set of data be equal the Q1 value of the five number summary? hence can 75% of the data be above the mean? can you please provide an example of this?

1

There are 1 best solutions below

1
On

$\{0,10,11,12,12,13,13,13\}$ has $Q1=\text{mean}=10.5$

Indeed 75% of the data (the 6 biggest values) are above the mean.