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The average height of 7 ropes is 4.8 meters. The average height of the first 5 ropes is 2.3 meters then find the average height of the last 2 ropes. 
1. 21.84 meters
2. 3.71. meters
3. 11.05 meters
4. 11.42 meters

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Correct Answer - Option 3 : 11.05 meters

Given:

The average height of 7 ropes is 4.8 meters.

The average height of the first 5 ropes is 2.3 meters.

Formula Used:

Average = sum of total terms/ total number of terms

Calculation:

The average height of 7 ropes is 4.8 meters.

Average = sum of total terms/ total number of terms

⇒ 4.8 = Sum of the total height of 7 ropes / 7

⇒ Sum of the total height of 7 ropes = 4.8 × 7 

⇒ Sum of the total height of 7 ropes = 33.6 meters.

The average height of the first 5 ropes is 2.3 meters.

⇒ 2.3 = Sum of the height of first 5 ropes / 5

⇒ Sum of the height of the first 5 ropes = 2.3 × 5

⇒ Sum of the height of the first 5 ropes = 11.5 meters.

⇒ Sum of the height of the last two ropes = 33.6 – 11.5

⇒ Sum of the height of the last two ropes = 22.1

Average = sum of total terms/ total number of terms

⇒ Average = 22.1 / 2

⇒ Average = 11.05

∴ The average height of the last two ropes is 11.05 meters

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