Question

comparing statistical measures
mad range mode median mean
2.67 8 85 85.5 87 noah
3.22 12 86 85 87.17 gabriel
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 of these ratios show that the difference in the means is about 5% of the mad values.

Explanation:

Step1: Calculate the difference in means

Difference in means = \(87.17 - 87=0.17\)

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

Ratio \(=\frac{0.17}{2.67}\approx0.064\approx 6.4\%\)

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

Ratio \(=\frac{0.17}{3.22}\approx0.053\approx5.3\%\)

Step4: Analyze the ratios

The ratio of the difference in the mean to Gabriel's MAD is about \(5\%\) of the MAD value. And the ratio of the difference in the mean to Noah's MAD is also relatively small. Both ratios show that the difference in the means is relatively small compared to the MAD values.

Answer:

The ratio of the difference in the mean to Gabriel's MAD is about \(5\%\) of the MAD values. Both of these ratios show that the difference in the means is relatively small compared to the MAD values.