Data: 43, 36, 20, 39, 38, 52, 29, 36, 38, 37, 38, 37, 41, 35, 42, 50, 31, 43, 30, 41, 32, 47, 43, 42, 47, 31, 38,
29, 23, 48, 41, 51, 48, 49 37, 26, 34, 48, 35, 41, 38, 47, 41, 33, 39, 48, 38, 20, 59, 37, 29, 44, 29, 33, 35, 58,
41, 38, 26, 29, 32, 55, 25, 38, 38, 56, 56, 48, 34, 35, 26, 25, 39, 37, 56, 24, 44, 62, 29, 41
For these data,
a) Construct a grouped frequency distribution with 20-22 as the apparent limits for the lowest class interval
(thus, the interval width should be 3)
b) Construct another frequency distribution with interval width of 3, but begin with 18-20 as the lowest
interval
c) List the lower and upper real limits for each interval in both frequency distributions
d) Compare the two distributions. Do they provide similar views of the data?
e) The two distributions differ in the intervals covering scores between 45 and 52. Why do they differ
there?