There are 7 people in a group named as A, B, C, D, E, F and G. Average weight of A, B, C and D is
73kg. Average weight of D, E, F and G is 75kg. If the weight of D is 81kg, then what is total average
of all 7 people?
Answers
73*4=292-81=211, and 211 age total a,b,c
75*4=300-81=219 and 219 age total e,f,g so ,
211+81+219=511/7=73 and 73 is right ans. thanks
Average weight of 7 people = 73 kg
Given:
There are 7 people in a group named as A, B, C, D, E, F and G
Average weight of A, B, C and D is 73kg
Average weight of D, E, F and G is 75kg
The weight of D is 81kg
To find:
what is total average of all 7 people
Solution:
As we know
Average = sum of observations/ number of observations
⇒ Sum of observations = Average × No. of observations
Given that
Average weight of A, B, C and D = 73kg
⇒ Sum of weights of A, B, C and D = 73× 4 = 292 kg
⇒ Sum of weights of A, B, C = 292 - 81 kg = 211 kg [ ∵ D = 81 kg ]
Average weight of D, E, F and G = 75kg
⇒ Sum of weights of D, E, F and G = 75 × 4 = 300
⇒ Sum of weights of E, F and G = 300 kg - 81kg = 219 kg
Now calculate sum of weights of 7 people by using above data
= Sum of weights of A,B,C + Sum of weights of E,F,G + weight of D
= 211 kg + 219 kg + 81 kg = 511 kg
Average of weight of 7 people = 511 / 7 = 73 kg
Average weight of 7 people = 73 kg
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