Probabiliy s homework
- 1. We asked to total of 42 people “How much time do you spend on
transportation daily?
10 dk (x1) 30 dk (x6) 40 dk (x1) 50 dk (x4) 60 dk (x5) 70 dk (x3)
73dk(x1) 75dk(x1) 80dk(x2) 90dk(x1) 100dk(x1) 120dk(x3)
150dk(x2) 155dk(x1) 180dk(x7) 200dk(x1) 240(x1) 400(x1)
x = Average
10 + 6.(30) + 40 + 4.(50) + 3.(70) + 73 + 75 + 2.(80) + 90 + 100 + 3.(120) + 2.(150) + 155 +
7.(180) + 200 + 240 + 400 = 4353
x = 4353 / 42 =̃̃ 104
x̃ = Median
10
30 (x6)
40
50 (x4)
60 (x5)
70 (x3)
73 = twenty first number 73 + 75 / 2 = 74
75 = twenty second number =̃̃ 74
80 (x2)
90
100
120 (x3)
150 (x2)
155
180 (x7) = seven person said to 180 minutes. İt is the most said number. So mode = 180
200
240
400
- 2. Sample Variance
(10 – 104)2
(30 – 104)2 x 6
(40 – 104)2
(50 – 104)2 x4
(60 – 104)2 x5
(70 – 104)2 x3
(73 – 104)2
(75 – 104)2
(80 – 104)2 x2
(90 – 104)2
(100 – 104)2
(120 – 104)2 x3
(150 – 104)2 x2
(155 – 104)2
(180 – 104)2 x7
(200 – 104)2
(240 – 104)2
(400 – 104)2 +
225.474,664
225.474,664 / (42-1) = 5499
S2 = 5499