Question

1. The weights of 50 football players are listed below

201	240	217	283	268	212	251	263	275	208
230	288	259	225	218	236	243	247	280	234
250	236	277	255	228	268	231	269	224	259
258	231	255	202	219	245	246	271	249	255
265	235	243	245	252	246	238	257	254	284

1. Construct the Frequency distribution
2. Calculate the mode, 8^th decile, 87^th percentile (both for Grouped and Ungrouped data)

Answer 1

a)

class interval	frequency
201-210	3
211-220	4
221-230	4
231-240	8
241-250	9
251-260	10
261-270	5
271-280	4
281-290	3

b)for grouped data

mode

decile

percentile

-------------------------------

for ungrouped data

mode=225 (highest frequency

percentile=0.87(n+1)th value in ordered data=44.37th value=272.48

decile=0.8(n+1)th value in ordered data=40.8th value=265+0.8*(268-265)=267.4