Question

comparing statistical measures
the difference between noahs mean and gabriels mean is.
the ratio of the difference in the mean to noahs mad is.
the ratio of the difference in the mean to gabriels mad is.
both ratios show that the difference in the means is less than 5% of the mad values.

	noah	gabriel
median	85.5	85
mode	85	86
range	8	12
mad	2.67	3.22

Explanation:

Step1: Calculate the difference between the means

The difference between Noah's mean ($87$) and Gabriel's mean ($87.17$) is $87.17 - 87=0.17$.

Step2: Calculate the ratio of the difference in the mean to Noah's MAD

Noah's MAD is $2.67$. The ratio is $\frac{0.17}{2.67}$.

Step3: Calculate the ratio of the difference in the mean to Gabriel's MAD

Gabriel's MAD is $3.22$. The ratio is $\frac{0.17}{3.22}$.

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 $\frac{0.17}{2.67}$.
The ratio of the difference in the mean to Gabriel's MAD is $\frac{0.17}{3.22}$.