Question

In a study of distances traveled to a college by commuting students data from 100commuters yield a mean of 8.7342 miles after the mean was calculated data came in late from three students with distances of 11.5, 7.6 and 10.0 calculate the mean distance for all 103 students

Answer 1

The mean distance for 103 students is 8.7623.

Step-by-step explanation:

The mean (m) is the sum (s) of all data divided by how many numbers there are (n):

`m=(\sum^n_(i\mathop=1)x_i)/(n)`

In this problem, the average distance for 100 commuters is 8.7342 miles.

That means,

m = 8.7342

n = 100

the sum of the distances is 8.7342*100 = 873.42

If we want to know the new mean, including 3 more values, we have to sum this values to the sum of the distances:

`\begin{gathered} m=(873.42+11.5+7.6+10)/(103) \\ m=(902.52)/(103) \\ m=8.7623 \end{gathered}`

The mean distance for 103 students is 8.7623.