1. Homework #2 solution
Q1: Suppose you have a sample from a sport club and the distribution of the sample as:
Tennis
Basket ball
Soccer
Hand ball
Male 15 20 28 25
Female 17

2. Homework #2 solution
Plot bar chart for male and female separately

3. Homework #2 solution
For Female

4. Homework #2 solution
Plot companying bar chart over the entire club.

5. Homework #2 solution
Plot Pie chart for Male and Female.
a) For Male

6. Homework #2 solution
For Male

7. Homework #2 solution
For female

8. Homework #2 solution
For female

9. Homework #2 solution
Suppose you have the data set {5.1, 1.5, 1.9, 2.7, 4.5, 0.8, 4.1, 2.1,2.4, 1.2, 1.0, 3.5, 1.9}
Calculate: mean –median- mean deviation-interquartile range- variance standard deviation- coefficient of variation.

10. Homework #2 solution Sort data as:
{0.8,1,1.2,1.5,1.9,1.9,2.1,2.4,2.7,3.5,4.1,4.5,5.1}

11. Homework #2 solution Sort data as:
{0.8,1,1.2,1.5,1.9,1.9,2.1,2.4,2.7,3.5,4.1,4.5,5.1}
Mean deviation = 1.127
Deviation interquartiles = Q3 – Q1
Position of Q3 = * 14 = 10.5

12. Homework #2 solution Position of Q1 = 0.25 * 14 = 3.5
Then Deviation interquartiles = 3.8 – 1.35 = 2.45

13. Homework #2 solution
Variance

14. Homework #2 solution
Plot Box plot

15. Homework #2 solution Construct a stem and leaf diagram.
Minimum vale = 0.8
Maximum value = 5.1
Frequency
0 | 8 1
1 |
2 |
3 | 5 1
4 | 15 2
5 | 1 1

16. Homework #2 solution
Suppose you have a marks of 59 student as {37, 51, 68, 55, 9, 18,54, 38, 32, 66, 19, 48, 6, 7,11 59, 13, 37, 36, 56, 58, 47, 41, 39, 21, 39, 49, 8, 17, 19, 15, 12, 67, 22, 23, 25, 21, 31, 29, 46, 34, 47, 33, 28, 27, 29, 25, 43, 49, 44, 41, 26, 36, 35, 46, 45,34,31,38}

17. Homework #2 solution
Construct a frequency table for above data set with 7 classes and the length of each class is 10.

18. Homework #2 solution Frequency table for above. class frequency x x^2fx
fx^2
0 - 10 4 5 25 20
100 8 15
225
120
1800 11
625
275
6875 35
1225
525
18375 12 45
2025
540
24300 6 55
3025
330
18150 3 65
4225
195
12675
Total 59
2005
82275

19. Homework #2 solution
Plot: Histograms

20. Homework #2 solution
Polygon

21. Homework #2 solution
Ogive

22. Homework #2 solution Box plot
ملاحظة تم حساب أقل قيمة وأكبر قيمة وكذلك الربيع الاول والوسيط والوسط الحسابي ويمكن اضافتها يدوياً على رسم الصندوق

23. Homework #2 solution
Calculate mean – median – mode -interquartile range- variance – standard deviation.
Median
Step (2) =59/2=29.5

24. Homework #2 solution Step(3): the median class is 30-40
Step (4): Lm =30 , Fm-1 = 23 , fm =15 , Cm = 10
Step (5)

25. Homework #2 solution
IQR=Q3-Q1
IQR = Q3 - Q1 = = 22.94

26. Homework #2 solution Table class frequency R.F x x^2 fx fx^2
cumulative
0-10 4 5 25 20
100
0.067
10:20 8 15
225
120
1800
0.2023
20:30 11
625
275
6875
0.389
30:40 35
1225
525
18375
0.643
40:50 12 45
2025
540
24300
0.846
50:60 6 55
3025
330
18150
0.948
60:70 3 65
4225
195
12675 1
Total 59
2005
82275

27. Homework #2 solution
Variance

28. Homework #2 solution
You want to buy a new car: One car has a speed of 160 km/h, consume 11 litter of fuel/km and its capacity is 5 persons, another car has a speed of 180 km/h, consume 12 litter of fuel/km and its capacity is 4 persons.
Which is the better? and how?
Geometric mean for the first

29. Homework #2 solution Geometric mean for the first
Geometric mean for the second
The first one is better because it have the maximum geometric mean