Respuesta :
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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