The following frequency distribution table is derived from the data obtained for the number of minutes spent in an E.R. room before seeing a doctor. Time Spent in the ER (min) Frequency (f) 12-36 5 37-61 6 62-86 10 87-111 6 112-136 8 Use the frequency distribution above to construct the following: a. Relative Frequency Distribution b. Cumulative Frequency Distribution c. Relative Cumulative Frequency Distribution Round percentages to two decimal places Frequency Time (min) (f) 12-36 5 Relative Cumulative Relative Cumulative Frequency Frequency Frequency % % 62-86 10 6 8 87-111 112-136 Use the frequency distribution above to construct the following: a. Relative Frequency Distribution b. Cumulative Frequency Distribution c. Relative Cumulative Frequency Distribution Round percentages to two decimal places Frequency Relative Cumulative Relative Cumulative Time (min) (f) Frequency Frequency Frequency 12-36 5 % % 37-61 6 % % 62-86 10 % % 87-111 6 % % 112-136 8 % % Step 1: Add 3 columns to the frequency chart: Relative Frequency, Cumulative Frequency, and Relative Cumulative Frequency. Step 2: Add up the total number of entries in the frequency column to get the total frequency (Ftotal). Ftotal = f = (5+8+ 7+ 8+5) = 33 Step 3: Compute the relative frequency for each class. f Relative Frequency = 100% Ftotal Step 4: Compute the cumulative frequency by calculating the total value of Step 4: Compute the cumulative frequency by calculating the total value of frequency from the first class up to and including that class. Step 5: Compute for the relative cumulative frequency. Cumulative Frequency Relative Cumulative Frequency = 100% Ftotal Frequency Relative Cumulative Relative Cumulative Time (min) (f) Frequency Frequency Frequency 12-36 5 15.15% 5 15.15% 37-61 8 24.24% 13 39.39% 62-86 7 21.21% 20 60.61% 87-111 8 24.24% 28 84.85% 112-136 5 15.15% 33 100.00% Relative frequencies may not necessarily sum to 100% due to rounding errors.