Q Find the mean of the following distribution : Height (in cm) Less than 75 Less - Maths - Statistics

Question

Q Find the mean of the following distribution :

Height (in cm)
Less than 75
Less than 100
Less than 125
Less than 150
Less than 175
Less than 200

No of students
5
11
14
18
21
28

Height (in cm)
Less than 225
Less than 250
Less than 275
Less than 300

No of students
33
37
45
50

Neha Sethi · Accepted Answer

Dear student

Height
No of students fi
xi
di=xi-A where A=187 5
ui=di/h where h=25
fiui

50-75
5
62 5
-125
-5
-25

75-100
6
87 5
-100
-4
-24

100-125
3
112 5
-75
-3
-9

125-150
4
137 5
-50
-2
-8

150-175
3
162 5
-25
-1
-3

175-200
7
187 5
0
0
0

200-225
5
212 5
25
1
5

225-250
4
237 5
50
2
8

250-275
6
262 5
75
3
18

275-300
7
287 5
100
4
28

N=50

∑fiui=-10

Mean=A+h1N∑fiui=187 5+25-1050=182 5
Regards

Height (in cm)	Less than 75	Less than 100	Less than 125	Less than 150	Less than 175	Less than 200
No. of students	5	11	14	18	21	28
Height (in cm)	Less than 225	Less than 250	Less than 275	Less than 300
No. of students	33	37	45	50

Q. Find the mean of the following distribution : Height (in cm) Less than 75 Less than 100 Less than 125 Less than 150 Less than 175 Less than 200 No. of students 5 11 14 18 21 28 Height (in cm) Less than 225 Less than 250 Less than 275 Less than 300 No. of students 33 37 45 50