Zero Median Runs Scored!

Transcript

Zero Median Runs Scored!In a cricket match, can a team’s median runs scored by a player be 0 but the team’s total score be 407/10? What’s the average? In yesterday's match, the median runs scored by England's players was 0 , and yet the team scored 407 for the loss of 10 wickets.In the 2nd test match following India's 587 in the first innings England scored 407/10 (Zak Crawley 19, Ben Duckett 0, Ollie Pope 0, Joe Root 22, Harry Brook 158, Ben Stokes 0, Jamie Smith 184, Chris Woakes 5, Brydon Carse 0, Josh Tongue 0, Shoaib Bashir 0, and 19 extras; Akash Deep 4/88, M. Siraj 6/70),Number of runs scored by a player (excluding extras) are 19, 0, 0, 22, 158, 0, 184, 5, 0, 0, 0 Finding Median Number of players = 11 We put our data in ascending order 0, 0, 0, 0, 0, 0, 5, 19, 22, 158, 184 Since number of players is odd Median is the middle-most observation Thus, Median = 6th observation = 0 Thus, Median runs is 0 Finding Mean Now, Mean runs scored per player = (𝑇𝑜𝑡𝑎𝑙 𝑟𝑢𝑛𝑠 𝑠𝑐𝑜𝑟𝑒𝑑)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑙𝑎𝑦𝑒𝑟𝑠) = (19+0+0+22+158+0+184+5+0+0+0)/11 = 388/11 = 35.27 Thus, Average runs is 35.27 Therefore, we can conclude that The total score is huge (407 runs) because of Player 10 and 11. But if you look at the "middle" player (Player 6), they scored 0. This shows why Median can sometimes tell a different story than the Total or Average.