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Math  /  Data & Statistics

Question15. The mean length of six rods is 44⋅2 cm44 \cdot 2 \mathrm{~cm}. The mean length of five of them is 46 cm . How long is the sixth rod?

Studdy Solution

STEP 1

1. The mean length of six rods is 44.2 cm 44.2 \, \text{cm} .
2. The mean length of five of these rods is 46 cm 46 \, \text{cm} .
3. We need to find the length of the sixth rod.

STEP 2

1. Calculate the total length of all six rods.
2. Calculate the total length of the five rods.
3. Determine the length of the sixth rod.

STEP 3

Calculate the total length of all six rods using the mean:
Total length of six rods=44.2×6\text{Total length of six rods} = 44.2 \times 6
=265.2 cm= 265.2 \, \text{cm}

STEP 4

Calculate the total length of the five rods using their mean:
Total length of five rods=46×5\text{Total length of five rods} = 46 \times 5
=230 cm= 230 \, \text{cm}

STEP 5

Determine the length of the sixth rod by subtracting the total length of the five rods from the total length of all six rods:
Length of sixth rod=265.2−230\text{Length of sixth rod} = 265.2 - 230
=35.2 cm= 35.2 \, \text{cm}
The length of the sixth rod is:
35.2 cm \boxed{35.2 \, \text{cm}}

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