the table and corresponding frequency polygon show information about the waiting times of some patients at a…

the table and corresponding frequency polygon show information about the waiting times of some patients at a hospital. what fraction of patients waited for more than 7 minutes? waiting time (x minutes) 5<x≤6 6<x≤7 7<x≤8 8<x≤9 9<x≤10

the table and corresponding frequency polygon show information about the waiting times of some patients at a hospital. what fraction of patients waited for more than 7 minutes? waiting time (x minutes) 5<x≤6 6<x≤7 7<x≤8 8<x≤9 9<x≤10

Answer

Explanation:

Step1: Estimate frequencies from graph

From the frequency - polygon, assume frequencies for each interval: For (5 < x\leq6), frequency (f_1 = 2); for (6 < x\leq7), frequency (f_2 = 8); for (7 < x\leq8), frequency (f_3 = 6); for (8 < x\leq9), frequency (f_4 = 4); for (9 < x\leq10), frequency (f_5 = 2).

Step2: Calculate total frequency

The total frequency (N=f_1 + f_2+f_3+f_4+f_5=2 + 8+6 + 4+2=22).

Step3: Calculate frequency of patients waiting more than 7 minutes

The frequency of patients waiting more than 7 minutes (n=f_3+f_4+f_5=6 + 4+2 = 12).

Step4: Calculate the fraction

The fraction of patients who waited more than 7 minutes is (\frac{n}{N}=\frac{12}{22}=\frac{6}{11}).

Answer:

(\frac{6}{11})