The difference between Noah’s mean and Gabriel’s mean is . The ratio of the difference in the mean to Noah’s MAD is . The ratio of the difference in the mean to Gabriel’s MAD is . Both of these ratios show that the difference in the means is about 5% of the MAD values.

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Answer:

The difference between Noah’s mean and Gabriel’s mean is .

0.17

The ratio of the difference in the mean to Noah’s MAD is .

0.17/2.67

The ratio of the difference in the mean to Gabriel’s MAD is .

Both of these ratios show that the difference in the means is about 5% of the MAD values. 0.17/3.22

Step-by-step explanation:

The difference between Noah’s mean and Gabriel’s mean is 0.17, and the ratio of the difference in the mean to Noah’s MAD is 17: 267, the ratio of the difference in the mean to Gabriel’s MAD is 17: 322, and the 5% of the MAD values are 6.36% and 5.27%

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.

Noah's Mean = 87.17, Gabriel’s mean = 87

The difference between Noah’s mean and Gabriel’s mean:

= 87.17 - 87

= 0.17

Noah’s MAD = 2.67, and Gabriel’s MAD = 3.22

The ratio of the difference in the mean to Noah’s MAD:

0.17: 2.67

Multiply by 10 on the above ratio, and we get:

17: 267

The ratio of the difference in the mean to Gabriel’s MAD is:

0.17: 3.22

Multiply by 100 on the above ratio, and we get:

17: 322

Both of these ratios show that the difference in the means is about 5% of the MAD values:

= (17/267)×100

= 6.36%

= (17/322)×100

= 5.27%

Thus, the difference between Noah’s mean and Gabriel’s mean is 0.17, and the ratio of the difference in the mean to Noah’s MAD is 17: 267, the ratio of the difference in the mean to Gabriel’s MAD is 17: 322, and the 5% of the MAD values are 6.36% and 5.27%

Learn more about the mean absolute deviation here:

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