Question

for the data shown above, find the following. round answer in the first blank to 1 decimal place(s). in the second blank put the correct units. find the mean: 74.8 find the median: 64.0 find the range: 140.0 km find the variance: 1338.2 (km)^2 find the standard deviation: 36.6 question help: video message instructor

Explanation:

Step1: Recall standard - deviation formula

The formula for the sample standard deviation $s=\sqrt{\frac{\sum_{i = 1}^{n}(x_i-\bar{x})^2}{n - 1}}$, where $x_i$ are the data - points, $\bar{x}$ is the mean, and $n$ is the number of data - points. We are given that the variance $s^2 = 1338.2$.

Step2: Calculate standard deviation

Since $s=\sqrt{s^2}$, and $s^2=1338.2$, then $s=\sqrt{1338.2}\approx36.6$. The units of the standard deviation are the same as the units of the original data. Since the original data is in kilometers ($km$), the units of the standard deviation are $km$.

Answer:

36.6 km