Core stretch Masses 2.5, 2.6, 2.7, 2.8, 2.9 kg have frequencies $4,p,6,q,2$. There are 20 masses a

Question

Core stretch Masses 2.5, 2.6, 2.7, 2.8, 2.9 kg have frequencies $4,p,6,q,2$. There are 20 masses and their mean is 2.7 kg.

Accepted Answer

(a) $p+q=8,\ 26p+28q=220$, so $p=2,q=6$. (b) Modes 2.7 kg and 2.8 kg; median 2.7 kg.

Two unknown measurement frequencies