Question

1. The following distribution gives the daily income of 50 workers of a factory.Convert
the distribution to a "Less then type" cumulative frequency distribution and draw its
Ogive?
Scores
0-10 10-20 20-30 30-40 40-50 50-60 60-70
Number of students 8 12 15 10
20 5 15​

Answer 1

Answer:

ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ ᴅɪsᴛʀɪʙᴜᴛɪᴏɴ ɢɪᴠᴇs ᴛʜᴇ ᴅᴀɪʟʏ ɪɴᴄᴏᴍᴇ ᴏғ ᴡᴏʀᴋᴇʀs ᴏғ ᴀ ғᴀᴄᴛᴏʀʏ.ᴄᴏɴᴠᴇʀᴛ

ᴛʜᴇ ᴅɪsᴛʀɪʙᴜᴛɪᴏɴ ᴛᴏ ᴀ "ʟᴇss ᴛʜᴇɴ ᴛʏᴘᴇ" ᴄᴜᴍᴜʟᴀᴛɪᴠᴇ ғʀᴇǫᴜᴇɴᴄʏ ᴅɪsᴛʀɪʙᴜᴛɪᴏɴ ᴀɴᴅ ᴅʀᴀᴡ ɪᴛs

Answer 2

Number of workers (Frequency) f

Number of workers (Frequency) f 1

Number of workers (Frequency) f 1

Number of workers (Frequency) f 1

Number of workers (Frequency) f 1 Cumulative frequency less than type

Number of workers (Frequency) f 1 Cumulative frequency less than type100-120

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 120

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-140

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-160

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-180

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-200

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50Total

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50Totaln=50

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50Totaln=50n=50 gives n/2=25

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50Totaln=50n=50 gives n/2=25On the graph, we will plot the points (120, 12), (140, 26), (160, 34), (180, 40), (200, 50).

Number of workers (Frequency) f 1 Cumulative frequency less than type100-12012Less than 12012=12120-14014Less than 140(12+14)=26140-1608Less than 160(26+8)=34160-1806Less than 180(34+6)=40180-20010Less than 200(40+10)=50Totaln=50n=50 gives n/2=25On the graph, we will plot the points (120, 12), (140, 26), (160, 34), (180, 40), (200, 50).solution