Team A: 180, 178, 176, 181, 190, 175, 187
Team B : 174, 175, 190, 178, 185, 177
Which team had the greater average height
Find the median of team A and team B. full solution
Answers
Answer:
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Step-by-step explanation:
Total number of players in each team = 7
Mean height of team A = Sum of the height of players of the team A / Total number of team A players
= 180+178+176+181+190+175+187 / 7
= 1267 /7
= 181 cm
Mean height of team B = Sum of the height of players of the team B / Total number of team B players
= 174+175+190+179+178+185+177 / 7
= 1258 / 7
= 179.7 cm
Thus, team A has greater average height.
Median of team A:
Arranging heights in ascending order, we get
175, 176, 178, 180, 181, 187, 190
Total number of observations = n = 7 (odd)
∴ Median = (n+1 /2)^th Observation = ( 7+1/2) th Observation
= 4th Observation = 180cm
Median of team B:
Arranging heights in ascending order, we get
174, 175, 177, 178, 179, 185, 190
Total number of observations = n = 7 (odd)
∴ Median = (n+1/2)^th Observation = ( 7+1/2) th Observation
= 4th Observation = 178 cm