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1. THE STUDY OF THE POCKET
MONEY
By
Ms. Seema Fernandes
Mr. Ravi Kamat
Ms. Felcy Dsilva
Mr.Remy Dcosta

2. ABSTRACT
This project contains unorganized raw data.
The presentation of the data is classified
into Tabular Presentation, Diagrammatic
Presentation, Measures of Central
Tendency- Mean, Median and Mode,
Measure of Dispersion- Mean Deviation,
Standard Deviation, Measures of Skewness
Karl Pearson’s measure of skewness.

3. INTRODUCTION
This project is based on the study of the
pocket money students. The information is
collected through primary data i.e., by
interviewing students of the class. The
limitation of the study is that the study is
limited only for our class. The study is
limited to 50 students.

4. RAW DATA
250 200 400 600 500 150 500 500 500 500
200 400 600 250 200 250 450 300 250 400
300 150 400 250 400 300 200 500 300 400
200 600 700 500 700 350 400 300 300 600
400 150 600 500 200 250 750 400 200 200

5. TABULAR PRESENTATION
CLASSES(per
week)
FREQUENCY(no of
students)
PERCENTAGE
100-200 03 06
200-300 14 28
300-400 07 14
400-500 10 20
500-600 08 16
600-700 05 10
700-800 03 06
TOTAL 50

6. GRAPHICAL REPRESENTATION
(PIE CHART)
6%
28%
14%20%
16%
10%
6%
100-200
200-300
300-400
400-500
500-600
600-700
700-800

7. Conclusion
• Based on the above pie chart we can
conclude that 6% of students have
pocket money in the class 100-200,
28% in the class 200-300, 14% in the
class 300-400, 20% in the class 400-
500, 16% in the class 500-600, 10%
in the class 600-700 and 6% in the
class 700-800.

8. MEASURES OF CENTRAL TENDENCY
• 1. Mean
CLASSES FREQUEN
CY(fi)
MIDVALU
E(xi)
C.F fixi Di=xi-A/h fidi
100-200 03 150 03 450 -3 -9
200-300 14 250 17 3500 -2 -28
300-400 07 350 24 2450 -1 -7
400-500 10 450 34 4500 0 0
500-600 08 550 42 4400 1 8
600-700 05 650 47 3250 2 10
700-800 03 750 50 2250 3 9
TOTAL 50 20800 -17

9. 𝑥=
∑𝑓𝑖𝑥𝑖
∑𝑓𝑖
=
20800
50
= 416
𝑥=A+h
∑𝑓𝑖𝑑𝑖
∑𝑓𝑖
=450+100
−17
50
=450+100(-0.34)
=450-34
=416
Conclusion: On average, a student has
pocket money of Rs. 416 per week.

10. 2. MEDIAN
The median is total value of the variable which
divides group in two equal parts, one part having
high value and other having less values.
𝑁
2
=
50
2
=25
Md=l+
ℎ
𝑓
𝑁
2
− c
=400+
100
10
25 − 24
=410
Conclusion: The median is 410. That is 50% of
values are greater than equal to 410, and 50% of
the values are less than equal to 410.

11. 3. MODE
d1=14-3 d2=14-7
=11 =7
Mo=l+h(
𝑑1
𝑑1+𝑑2
)
=200+100(
11
18
)
=200+100(0.61)
=200+61
=261
Conclusion: It is the point around which the pocket
money of students is heavily concentrated.

12. QUARTILES
•Q1=
𝑁
4
=
50
4
= 12.5
•Q2 =
𝑁
2
= 25
•Q3 = 3x
𝑁
4
=37.5

13. Q1= l+
ℎ
𝑓
(
𝑁
4
− C)
=200+
100
14
(12.5-3) = 267.83
Q2= l+
ℎ
𝑓
(
𝑁
2
- C)
= 400+
100
10
(25 – 24) = 410
Q3= l+
ℎ
𝑓
(3x
𝑁
4
− C)
=500+
100
8
(37.5 – 34) = 543.75

14. MEASURES OF DISPERSION
1. MEAN DEVIATION
classes fi xi fixi Xi-
𝟒𝟏𝟔
𝒙
|xi- 𝒙| Fi|xi- 𝒙| (xi-𝒙)2 Fi(xi-𝒙)2
100-200 03 150 450 -266 266 798 70756 212268
200-300 14 250 3500 -166 166 2324 27556 385784
300-400 07 350 2450 -66 66 462 4356 30492
400-500 10 450 4500 -34 34 340 1156 11560
500-600 08 550 4400 -134 134 1072 17956 143648
600-700 05 650 3250 234 234 1170 54756 273780
700-800 03 750 2250 334 334 1002 111556 334668
TOTAL 50 7168 1392200

15. Mean Deviation∑𝑓𝑖|𝑥𝑖 − 𝑥|
∑fi
=
7168
50
=143.36

16. STANDARD DEVIATION
𝜎 =
13,92,200
50
𝜎 = 27,884
𝜎 =166.87

17. Measures of skewness
Pearson’s Coefficient of Skewness
Sk=
𝑀𝑒𝑎𝑛−𝑀𝑜𝑑𝑒
𝜎
=
416−261
166.87
= 0.92
Conclusion : Since the skewness is positive,
the frequency curve is skewed towards
right.

18. THANK YOU