Question

3 apples have a mean mass of 100 grams ,the largest apple is removed , the mean mass of the remaining two apples is 70 grams,what is the mass of the largest apple?

Answer 1

160 gm

Explanation:

Mean =
`\frac{\text{Sum of masses of apples}}{\text{No. of apples}}`

100 =
`\frac{\text{Sum of masses of apples}}{3}`

`100 * 3 = \text{Sum of masses of apples}`

`300 = \text{Sum of masses of apples}`

So, the mass of 3 apples is 300 gm.

Now we are given that the largest apple is removed , the mean mass of the remaining two apples is 70 grams

`\text{Mean mass of two apples}=\frac{\text{Sum of masses of two remaining apples}}{\text{No. of apples}}`

`70=\frac{\text{Sum of masses of two remaining apples}}{2}`

`70 * 2=\frac{\text{Sum of masses of two remaining apples}}{2}`

`140=\text{Sum of masses of two remaining apples}`

So, mass of two apples is 140 gm

Total mass of 3 apples = 300 gm

So, mass of largest apple = 300 - 140 = 160 grams.

Hence the mass of the largest apple is 160 gm