In a group of 140 people 1 / 5 are males, ¼ of remaining are females

1.	In a group of 140 people 1 / 5 are males, ¼ of remaining are females and rest are children. If the average weight of children is 30 kg and the average weight of females is twice the average weight of C, Also the average weight of males is 1.5 times the average age of F. The average weight of whole group is?1. 452. 483. 564. 545. 68
Answer» Correct Answer - Option 2 : 48 Formula used∶ Average = sum of all the observations / total number of observations Calculations∶ Let the number of males, females and children be M, F and C respectively M + F + C = 140 Number of males = 1 / 5 × 140 = 28 Number of females = (140 - 28) / 4 = 28 Number of children = 140 - 28 - 28 = 84 Average weight of children = 30 kg Sum of weights of children = no. Of children × avg. Weight ⇒ 84 × 30 ⇒ 2520 kg Average weight of females = 2(30) = 60 kg Sum of weights of females = no. Of females × avg. Weight ⇒ 28 × 60 = 1680 kg Average weight of male = 1.5(60) = 90 kg Sum of weights of males = no. Of males × avg. Weight ⇒ 28 × 90 = 2520 kg Average of whole group = (2520 + 1680 + 2520) / 140 = 48 kg

In a group of 140 people 1 / 5 are males, ¼ of remaining are females and rest are children. If the average weight of children is 30 kg and the average weight of females is twice the average weight of C, Also the average weight of males is 1.5 times the average age of F. The average weight of whole group is?1. 452. 483. 564. 545. 68

Answer» Correct Answer - Option 2 : 48

Formula used∶

Average = sum of all the observations / total number of observations

Calculations∶

Let the number of males, females and children be M, F and C respectively

M + F + C = 140

Number of males = 1 / 5 × 140 = 28

Number of females = (140 - 28) / 4 = 28

Number of children = 140 - 28 - 28 = 84

Average weight of children = 30 kg

Sum of weights of children = no. Of children × avg. Weight

⇒ 84 × 30

⇒ 2520 kg

Average weight of females = 2(30) = 60 kg

Sum of weights of females = no. Of females × avg. Weight

⇒ 28 × 60 = 1680 kg

Average weight of male = 1.5(60) = 90 kg

Sum of weights of males = no. Of males × avg. Weight

⇒ 28 × 90 = 2520 kg

Average of whole group = (2520 + 1680 + 2520) / 140 = 48 kg