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the average of five number is 25.if four of the numbers are 30,29,25 and 20,the average of the three larger numbers are

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Answer:

28

Step-by-step explanation:

There are five numbers so the average must be x/5.

25= x/5

x= 125

30+29+25+20 = 104

Therefore the final number of the five must be 125-104=21

The 3 largest are still 30,29,25.

So their average is (30+29+25)/3

= 28

The average of the three larger numbers is 28

Let y be the 5th number.

Next, we shall determine the value of y. This can be obtained as follow:

  • Data: 30, 29, 25, 20 and y
  • Average = 25
  • y =?

Average = Sum of data / number of data

25 = (30 + 29 + 25 + 20 + y) / 5

25 = (104 + y) /5

Cross multiply

25 × 5 = 104 + y

125 = 104 + y

Collect like terms

y = 125 – 104

y = 21

Thus, the correct data are: 30, 29, 25, 20, 21

Finally, we shall determine the average of the three larger numbers.

  • Data: 30, 29, 25, 20, 21
  • Three large numbers: 30, 29, 25
  • Average =?

Average = Sum of data / number of data

Average = (30 + 29 + 25) / 3

Average = 84 / 3

Average = 28

Therefore, the average the three larger numbers is 28

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