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प्रश्न
The heights (in cm) of the volleyball players from team A and team B were recorded as:
Team A: 180, 178, 176, 181, 190, 175, 187
Team B: 174, 175, 190, 179, 178, 185, 177
Which team had a greater average height?
Find the median of team A and team B.
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उत्तर
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" = 4^"th" "Observation" = 180 cm`
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" = 4^"th" "Observation" = 178 cm`
