Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week (in the order of Monday through Sunday) with the frequencies 54, 63, 71, 57, 55, 45, 55. Does it appear that such births occur on the days of the week with equal frequency? Construct the relative frequency distribution. Day Relative Frequency Monday nothing% Tuesday nothing% Wednesday nothing% Thursday nothing% Friday nothing% Saturday nothing% Sunday nothing%
Solution :
=> From the given information,
=> Total frequency = 54 + 63 + 71 + 57 + 55 + 45 + 55 = 400
=> Relative frequency = Frequency/Total frequency
Day Frequency Relative frequency
Monday 54 54/400 = 0.135 = 13.5%
Tuesday 63 63/400 = 0.1575 = 15.75%
Wednesday 71 71/400 = 0.1775 = 17.75%
Thursday 57 57/400 = 0.1425 = 14.25%
Friday 55 55/400 = 0.1375 = 13.75%
Saturday 45 45/400 = 0.1125 = 11.25%
Sunday 55 55/400 = 0.1375 = 13.75%
=> Yes, it appears that births occur on the days of the week with frequencies that are about the same.
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