The average length of 10 wood sticks bundle is 1.5 m. When 3 wood sticks from the bundle are removed then the average increases by 0.25 m. What is the total length of those 3 wood sticks?
The average length of 10 wood sticks bundle is 1.5 m. When 3 wood sticks from the bundle are removed then the average increases by 0.25 m. What is the total length of those 3 wood sticks? Correct Answer 2.75 m
Average = Sum of elements/Number of elements
Given, the average length of 10 wood sticks bundle is 1.5 m.
The total length of 10 wood sticks = 10 × 1.5 = 15
The total length of 10 wood sticks = 15m
Given,
When 3 wood sticks from the bundle are removed then the average increases by 0.25m
New average of 7 wood sticks = 1.5 + 0.25 = 1.75
The total length of 7 wood sticks = 7 × 1.75 = 12.25
The total length of 10 wood sticks = Total length of 7 wood sticks + Total length of 3 wood sticks
⇒ 15 = 12.25 + Total length of 3 wood sticks
∴ The total length of 3 wood sticks = 2.75m
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Feb 20, 2025