A square field measures 10 meters by 10 meters. Ten students each mark a randomly selected region of the field; each region is square and has side lengths of 1 meter and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground’s surface in each region.
The results are shown in the table below.
Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground’s surface in the entire field?

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150

1,500

15,000

1,50,000

answer is C.

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Detailed Solution

Since we have a 10 meter square field and one area is a smaller 1 meter square, there would be 100 such areas in the entire field.
Since the analysis is available for 10 areas, a good approximation would be to multiply the total count in those ten areas by 10 to get the total number of earthworms in the field.
We add the numbers obtained in this way.
107+147+146+135+149+141+150+154+176+166=1471
The number of earthworms to a depth of 5 centimeters below the surface of the earth in the entire field is therefore 1471×10=14,710, which can be approximated to the order of 15,000.
So the correct answer is option (3).

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