Carcass wrote:
The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following?
A) 20 ≤ m ≤ 29
B) 25 ≤ m ≤ 34
C) 30 ≤ m ≤ 39
D) 35 ≤ m ≤ 44
E) 40 ≤ m ≤ 49
Since we have \(161\) employees, the 81st one is their median since we exclude 80 data from the least number and 80 data from the greatest number after we put the numbers in an ascending order.
Since we have \(29 + 58 = 87\) from the first two top rows, the 81st one should be in \(20-29\).
Therefore, A is the right answer.