Number of beds in 30 random hospitals:235, 205, 371, 342, 61, 55, 109, 74, 74, 137, 428, 260, 159, 142, 45,42, 92, 28, 56, 68, 206, 93, 68, 330, 127, 87, 577, 310, 49, 4491. Construct a grouped frequency distribution for the sample data. Use6 classes, Use the minimum data value as the lower limit of the firstclass.Relative Cumulative MidpointFrequency FrequencyClassClassFrequencyLimits Boundaries

The data shows the number of beds in 30 random hospitals.From the data the minimum value is 28, and maximum value is 577. The width of the each interval is, Width=Max-MinNumber of class=577-286=91.5≈92 The class starts with 28 and ends with 579 with range 92. The frequency and class limits are, Class limits Tally Frequency 28 - 119 |||| |||| |||| 15 120 - 211 |||| | 6 212 - 303 || 2 304 - 395 |||| 4 396 - 487 || 2 488 - 579 | 1Class boundaries: The data values used for separating the classes is termed as class boundaries. The lower class boundary is obtained by subtracting 0.5 from the value and upper class boundary is obtained by adding 0.5 to the given value. The grouped frequency distribution for the sample data is, Class Limits Class Boundaries Frequency Relative frequency Cumulative frequency Midpoint 28 - 119 27.5 - 119.5 15 1530=0.5 15 28+1192=73.5 120 - 211 119.5 - 211.5 6 630=0.2 15 + 6 = 21 120+2112=165.5 212 - 303 211.5 - 303.5 2 230=0.0667 21 + 2 = 23 212+3032=257.5 304 - 395 303.5 - 395.5 4 130=0.1333 23 + 4 = 27 304+3952=349.5 396 - 487 395.5 - 487.5 2 230=0.0667 27 + 2 = 29 396+4872=441.5 488 - 579 487.5 - 579.5 1 130=0.0333 29 + 1 =30 488+5792=533.5 Therefore, the grouped frequency distribution for the sample data is, Class Limits Class Boundaries Frequency Relative frequency Cumulative frequency Midpoint 28 - 119 27.5 - 119.5 15 0.5 15 73.5 120 - 211 119.5 - 211.5 6 0.2 21 165.5 212 - 303 211.5 - 303.5 2 0.0667 23 257.5 304 - 395 303.5 - 395.5 4 0.1333 27 349.5 396 - 487 395.5 - 487.5 2 0.0667 29 441.5 488 - 579 487.5 - 579.5 1 0.0333 30 533.5