# The average weight of 6 students is 62 kg. If a 7th student weighs 52 kg, what is the new average weight of all 7 students?

Compute total weight of 6 students first.

First, you must determine the combined weight of the six students:

When the seventh student is added, the total weight will be

Now find the average weight of these seven pupils:

Say 61 kg, if you would.

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The new mean will be

#mu_"new"=62+1/7(52-62)#

#color(white)(mu_"new")~~60.57#

G_Ozdilek's solution is excellent because it is very detailed. This explanation will show you how to get there quickly.

As can be seen in the Answer section above, the quick formula is

Why is this effective?

This is the source of the formula:

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To find the new average weight of all 7 students, we can calculate the total weight of all 7 students, including the weight of the 7th student, and then divide this total weight by the total number of students (7 in this case).

The total weight of the first 6 students is (6 \times 62 ) kg.

So, the total weight of all 7 students is ( 6 \times 62 + 52) kg.

Now, we divide this total weight by the total number of students (7) to find the new average weight.

The new average weight of all 7 students is (\frac{(6 \times 62 + 52)}{7}) kg.

Calculating this gives us the new average weight.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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