The table shows the height of pea plants in centimeters after 6 weeks of growth. Each plant started at a height of 5 centimeters. Two planting soils were tested. Which statement BEST compares the mean absolute deviation (MAD) of the two sets of data? Planting soil 1 plant height: 15, 10, 19, 17, 16, 12, 20, 22, 18, 35 Planting soil 2 plant height: 16, 17, 10, 12, 18, 17, 14, 15, 17, 23 A) Planting soil 1 showed less variability, since Planting soil 1 MAD is approximately 2.0 times greater than planting soil 2 MAD. B) Planting soil 2 showed less variability, since Planting soil 2 MAD is approximately 2.0 times greater than planting soil 1 MAD. C) Planting soil 1 showed greater variability, since Planting soil 1 MAD is approximately 1.8 times greater than planting soil 2 MAD. D) Planting soil 2 showed greater variability, since Planting soil 2 MAD is approximately 1.8 times greater than planting soil 1 MAD.

Planting soil 1 showed greater variability, since planting soil 1 MAD is approximately 1.8 times greater than planting soil 2 MAD option (C) is correct.

What is the mean absolute deviation?

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.

We know we can calculate the MAD value by the formula:

[tex]\rm MAD = \dfrac{\sum (x-X)}{n}[/tex]

For the first data, the MAD value:

MAD for first data = 4.48 ≈ 4.5

MAD for the second data = 2.5

MAD for the first data = 4.5/2/5(MAD for the second data)

MAD for the first data = 1.8(MAD for the second data)

Thus, planting soil 1 showed greater variability since planting soil 1 MAD is approximately 1.8 times greater than planting soil 2 MAD option (C) is correct.

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