mode of the data with detailed “frequency table” that has the following columns:

Question

mode of the data with detailed “frequency table” that has the following columns: class; lower limit; upper limit; midpoint; frequency; relative frequency; cumulative frequency; cumulative relative frequency FOR following:

111S 865 1015 885 1594 1000 1416 1501 1310 2130 845 1223 2023 1820 1560 1540 1421 1674 375 1315 1940 1055 990 4502 0 016 226 12 9 113 1964 468 3238 1258 1481 1102 1910 1260 910 1330 1512 1315 1567 16051018 1888 1730 1608 1750 1085-1883 706 1452 1782 1102 1535 1642 -79 1203-2215-18901522 15 1781 1522 1578 1781 = :

Explanation / Answer

there are all total 70 data point and the m lowest value is 375 and the highest value is 2265

so total frequency=N=70

we want to create say 10 classes with the lower limit of the first class be 350 and the upper limit of the last class be 2300

so the class widths=(2300-350)/10=195

so the classes are

350-545

545-740

740-935

935-1130

1130-1325

1325-1520

1520-1715

1715-1910

1910-2105

2105-2300

now in the first class 350 to 545 there is only 1 data=375

within 545-740 there is only 1 data=706

withing 740-935 there are 7 data points=758 785 798 845 865 885 910

within 935-1130 there are 13 data points=990 1000 1015 1016 1018 1020 1055 1085 1102 1102 1109 1115 1120

within 1130-1325 there are 10 data points=1203 1223 1238 1258 1260 1269 1270 1310 1315 1315

within 1325-1520 there are 9 data points=1330 1416 1421 1452 1468 1481 1501 1502 1512

within 1520-1715 there are 11 data points=1522 1535 1540 1560 1567 1578 1594 1605 1608 1642 1674

within 1715-1910 there are 12 data points=1730 1750 1750 1764 1781 1782 1792 1820 1883 1888 1890 1910

within 1910-2105 there are 3 data points=1940 2023 2100

within 2105-2300 there are 3 data points=2130 2215 2265

midpoint is calculated as (lower limit+upper limit)/2

relative frequency is calculated as=frequency/total frequency

hence the frequency table is as follows

350

lower limit upper limit midpoint frequency rel. freq cum. freq cum. rel. freq

350

545 447.5 1 1/70=0.0143 1 0.0143 545 740 642.5 1 1/70=0.0143 2 0.0286 740 935 837.5 7 7/70=0.1 9 0.1286 935 1130 1032.5 13 13/70=0.1857 22 0.3143 1130 1325 1227.5 10 10/70=0.1429 32 0.4572 1325 1520 1422.5 9 9/70=0.1286 41 0.5858 1520 1715 1617.5 11 11/70=0.1571 52 0.7429 1715 1910 1812.5 12 12/70=0.1714 64 0.9143 1910 2105 2007.5 3 3/70=0.0429 67 0.9572 2105 2300 2202.5 3 3/70=0.0429 70 1.000

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