11. The average weight of 20, four wheelers is 180 kg. If an old car is removed from this group of four wheelers, the new average weight decreases by 2 kg. The weight of the removed car is:
Answers
Step-by-step explanation:
Given :-
The average weight of 20, four wheelers is 180 kg. An old car is removed from this group of four wheelers, the new average weight decreases by 2 kg.
To find :-
Find the weight of the removed car ?
Solution :-
Given that
Total number of four wheelers = 20
The average of 20 four wheelers = 180kg
We know that
Average = Sum of a observations/ Number of all observations
=> 180 = Sum of weight total four wheelers / 20
=> Sum of the weight of four wheelers
= 180×20
= > 3600 kg
If an old car removed from the group then
The total number of four wheelers
= 20-1
= 19
The new Average = Decreases by 2 kg
=> 180 kg -2 kg
= 178 kg
=> 178 = Sum of weight total four wheelers / 19
=> Sum of the weight of four wheelers
= 178×19
=> 3382 kg
Weight of the old car = 3600-3382
=> 218 kg
Answer:-
The weight of the old car = 218 kg
Used formulae:-
Average = Sum of a observations/ Number of all observations