Question

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

52​,66,68,57,61,43​,53.
Does it appear that such births occur on the days of the week with equal​ frequency? Construct the relative frequency distribution.

Answer 1

To construct a relative frequency distribution for the given categorical data on natural births occurring on different days of the week, we divide the frequency of each day by the total number of births. The relative frequency distribution shows that births do not occur with equal frequency on each day.

Step-by-step explanation:

To construct a relative frequency distribution, we need to divide the frequency of each day of the week by the total number of natural births. Let's calculate the relative frequencies:

Day of the WeekFrequencyRelative FrequencyMonday5252/400 = 0.13Tuesday6666/400 = 0.165Wednesday6868/400 = 0.17Thursday5757/400 = 0.1425Friday6161/400 = 0.1525Saturday4343/400 = 0.1075Sunday5353/400 = 0.1325

Based on the relative frequency distribution, it does not appear that natural births occur with equal frequency on each day of the week. The relative frequencies vary, indicating that some days have a higher likelihood of natural births than others.