# The weight of a metal piece as calculated by the average of 7 differen

A. 52.353 gm

B. 51.717 gm

C. 53.067 gm

D. 54.513 gm

### Right Answer is: C

#### SOLUTION

Total weight of 7 experiments = No. of experiments Average weight = 7 53.735 gm = 376.145 gm

Total weight of the first three experiments = No. of experiments Average weight = 3 54.007 gm = 162.021 gm

Average weight of sixth and seventh experiment = 54.007 – 0.015 = 53.992 gm (Given in question)

Total weight of sixth and seventh experiment = No. of experiments Average weight = 2 53.992 gm = 107.984 gm

Let the weight of fourth experiment be x gm

then weight of fifth experiment = (x + 0.006) gm

Total weight of fourth and fifth experiment = Total weight of all the 7 experiments – Total weight of the first three experiments – Total weight of sixth and seventh experiment

x + x + 0.006 = 376.145 – 162.021 – 107.984

2x = 106.14 – 0.006

2x = 106.134

x = 53.067

Hence the weight in fourth experiment was 53.067 gm.

The weight of a metal piece as calculated by the average of 7 differen