Question

The weekly salaries (in dollars) for 7 employees of a small business are given below. (Note that these are already ordered from least to greatest.) 522, 718, 818, 827, 847, 905, 984 Suppose that the $ 522 salary changes to $683 .

Answer 1

(a) What happens to the median?

It stays the same ⇒ $827

(b) What happens to the mean?

It increases by $23

Explanation:

$522, $718, $818, $827, $847, $905, $984

median = the median is the number in the middle = $827

mean = ($522 + $718 + $818 + $827 + $847 + $905 + $984) / 7 = $803

$683, $718, $818, $827, $847, $905, $984

median = the median is the number in the middle = $827

mean = ($683 + $718 + $818 + $827 + $847 + $905 + $984) / 7 = $826

the mean is the average salary, since the salary of one of the employees increases, the average salary will also increase.