Calculate mean, median and mode from the below series.
X. F
0-10. 4
10-20. 2
20-30. 3
30-40. 5
40-50. 7
50-60. 4
60-70. 5
70-80. 5
80-90. 5
90-100. 7
Answers
mean=35.60, median=35.667, mode=35.4545
Answer:
x. fi. xi. fixi(fi×xi) CF
0-10. 4. 5. 20. 4
10-20. 2. 15. 30. 6
20-30. 3. 25. 125. 9
30-40. 5. 35. 175 14
40-50. 7. 45. 315. 21
50-60. 4. 55. 220. 25
60-70. 5. 65. 325. 30
70-80. 5. 75. 375. 35
80-90. 5 85. 425. 40
90-100. 7. 95. 665. 47
47. 2675
mean:-
x(bar)= £fixi
----------
£fi
=. 2675
--------
47
= 56.91
median:-
l=50
n=10
CF=21
f=4
h=10
n/2=47/2=23.5
median=l+(n/2-cf)×h
---------
f
=50+(23.5-21)×10
-----------
4.
=50+(2.5)×10
-------
4
=50+25/4
=50+6.25
=56.25
mode:-
l=40
h=10
f1=7
f0=5
F2=4
mode= l+( f1-f0 ) × h
-------------
(2f1-f0-f2)
=40+(7-5). ×10
---------------
(2(7)-5-4)
=40+(2)×10
-----
5
=40+20/5
=40+4
=44.
I hope you will understand.