The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys

The mean of the remaining 3 boys is 51.

Step-by-step explanation:

The mean mark of the entire group (), dimensionless, is:

(Eq. 1)

()

(Eq. 1b)

Where is the mark of the i-th boy, dimensionless.

In addition, we know the following mean marks from statement:

(Eq. 2)

()

(Eq. 2b)

(Eq. 3)

Where:

- Mean mark of the first 7 boys, dimensionless.

- Mean mark of the remaining 3 boys, dimensionless.

By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:

The mean of the remaining 3 boys is 51.

6.5

step-by-step explanation:

you said it was in the question

~courtney