This presentation is related statistics

1. Problems on Mean, Median and Mode
Presenter: Sherzad

2. 1A-2
Arithmetic Mean
(Marks)
X
65
55
42
58
94
86
ΣX=400
Individual Series

3. 1A-3
Arithmetic Mean
(Marks)
X
20
30
40
50
60
70
Freq Discrete Series
8
12
20
10
6
4
N=60
Fx
160
360
800
500
360
280
ΣΣffxx==22446600

4. 1A-4
Arithmetic Mean (Continuous Series)
(Marks)
CI
0-10
10-20
20-30
30-40
40-50
50-60
Mv=(LL+UL/2)
f
5
10
25
30
20
10
N=100
5
15
25
35
45
55
f.mv
25
150
625
1050
900
550
ΣΣffmmvv==33330000

5. Calculation of Median (Individual Series)
1A-5
From the following data of the wages of 7 workers compute
the median wage
Wages (in ascending order):
108, 110, 112, 115, 116, 120, 140
M = size . of N +
1
th item
= 7 + 1
=
M th item
115
4 ..
2
...
2
=
M

6. Calculation of Median (Discrete Series)
1A-6
From the following data find the value of median:
Income (Rs) No. person (f) Cumulative freq (cf)
80 16 16
100 24 40
150 26 66
180 30 96
200 20 116
250 6 122
N=122
M = size . of N +
1
th item
= 122 + 1
=
150
61.5
2
...
2
=
M
M

7. 1A-7
Calculation of Median (Continuous Series)
100
Calculate the median for the following frequency distribution
200
= =
2
M L L L
= + - -
= + - -
25 30 25
27.74
(100 77)
42
. )
2
1 2 1(
2
=
M
M
N p cf
f
N
Marks No. students (f) Cumulative freq (cf)
5-10 7 7
10-15 15 22
15-20 24 46
20-25 31 77
25-30 42 119
30-35 30 149
35-40 26 175
40-45 15 190
45-50 10 200
N=200

8. 1A-8
Calculation of Mode (Individual Series)
From the following data calculate the value of mode:
3 X No. of times occurred
5 3 2
8 4 2
5 5 3 Max
4 8 1
5 9 1
9
3 Mo=5
4

9. 1A-9
Calculation of Mode (Discrete Series)
Calculate the mode from the following data:
size of garments No. people
28 10
29 20
30 40
31 65 Max Mo=31
32 50
33 15

10. 1A-10
Calculation of Mode (Continuous Series)
Calculate mode from the following data:
Marks No.
0-5 2
5-10 5
10-15 12
15-20 17 class with highest f
20-25 14
25-30 6
30-35 3
35-40 1
Mo L xC
5 18.12
= + D
1 1
D = - =
1 17 12 5
D = - =
2 17 14 3
15 5
5 3
5
1 2
=
+
= +
=
D + D
C
Mo x

11. 1A-11
The End