comparing statistical measures\nthe difference between noahs mean and gabriels mean is.\nthe ratio of the…

comparing statistical measures\nthe difference between noahs mean and gabriels mean is.\nthe ratio of the difference in the mean to noahs mad is.\nthe ratio of the difference in the mean to gabriels mad is.\nboth ratios show that the difference in the means is less than 5% of the mad values.\n| | noah | gabriel |\n|--|--|--| \n| mean | 87 | 87.17 |\n| median | 85.5 | 85 |\n| mode | 85 | 86 |\n| range | 8 | 12 |\n| mad | 2.67 | 3.22 |

comparing statistical measures\nthe difference between noahs mean and gabriels mean is.\nthe ratio of the difference in the mean to noahs mad is.\nthe ratio of the difference in the mean to gabriels mad is.\nboth ratios show that the difference in the means is less than 5% of the mad values.\n| | noah | gabriel |\n|--|--|--| \n| mean | 87 | 87.17 |\n| median | 85.5 | 85 |\n| mode | 85 | 86 |\n| range | 8 | 12 |\n| mad | 2.67 | 3.22 |

Answer

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 $\frac{0.17}{3.22}$.