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The average of five weights is 13 grams. This set of of five weights is then increased by another weight of 7 grams. What is the average of the 6 weights?

User Ffrey
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2 Answers

0 votes

Answer:

the answer is 12

Explanation:

You just find the total weight and divide it by the number of weights

hope this helped ;3

User Cwhisperer
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4 votes

Answer:

12 g

Explanation:

Recall that

Average Weight = Sum of All weights ÷ Number of Weights

in the first case we are given that average of 5 weights is 13g

i.e Average weight (of 5 weights) = 13g and number of weights = 5

or, using the formula above,

13 = sum of 5 weights ÷ 5 (rearranging)

sum of 5 weights = 13 x 5 = 65 g

we are subsequently told that one more weight of 7 g is added,

hence, new number of weights = 6

and,

sum of 6 weights = sum of original 5 weights + sum of 6th weight

= 65 g + 7 g = 72 g

once again using the first formula

Average Weight (of 6 weights) = Sum of All weights ÷ Number of Weights

= 72 ÷ 6

= 12g

User Akuhn
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