Question

1. the 2005 hurricane season was a highly active season. the hurricanes with the highest wind speeds, based on the saffir - simpson scale, are listed in the table below. what was the mean wind speed (in knots) of the nine hurricanes? express the answer rounded to the nearest tenth.

Explanation:

Step1: Calculate the sum of wind speeds

$$130 + 140+90 + 150+100 + 80+100+160+155$$
$$=(130+140)+(90 + 150)+(100 + 80)+(100+160)+155$$
$$=270+240 + 180+260+155$$
$$=(270+240)+(180+260)+155$$
$$=510+440+155$$
$$=950+155$$
$$=1105$$

Step2: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 9$ (the number of hurricanes) and $\sum_{i=1}^{n}x_{i}=1105$
$$\bar{x}=\frac{1105}{9}\approx122.8$$

Answer:

$122.8$