This posting will use four baseball statistics, batting average (AVG), in-play batting average (IPBA), strike-out average (SOA) and home-run average (HRA). Their definitions are AVG = #H/#AB, IPBA = #H/(#AB−#SO), SOA =#SO/#AB and HRA = #HR/#AB. It turns out that AVG = IPBA*(1−SOA). The two figures below show these four statistics for the years 1901 thru …