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Comparing Statistical Measures
A 3-column table with 5 rows. Column 1 has entries Mean, median, mode, range, M A D. Column 2 is labeled Noah with entries 87, 85.5, 85, 8, 2.67. Column 3 is labeled Gabriel with entries 87.17, 85, 86, 12, 3.22.

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.

Respuesta :

The difference between Noah’s mean and Gabriel’s mean is 0.17, ratios are 0.17/2.67 and 0.17/3.22 respectively.

What is mean absolute deviation?

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

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

We have:

Column 1       Noah       Gabriel

Mean               87            87.17

Median            85.5         85

Mode               85            86

Range              8              12

M A D              2.67          3.22

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

= 87.17 - 87

= 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  

= 0.17/3.22

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

Thus, the difference between Noah’s mean and Gabriel’s mean is 0.17, ratios are 0.17/2.67 and 0.17/3.22 respectively.

Learn more about the mean absolute deviation here:

brainly.com/question/10528201

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