# Math Problem Set I

## Math Problem Set I

• Submitted By: moni1019
• Date Submitted: 03/10/2009 2:22 PM
• Words: 852
• Page: 4
• Views: 341

Chapter 3

60. 23, 19, 26, 17, 21, 24, 22

a. x = ∑x/ n
= 23+19+26+17+21+24+22 / 7
= 152 / 7
= 21.71 Mean

17, 19, 21, 22, 23, 24, 26 Median

b. x = ∑x/n = 152 / 7 = 21.7

s2 = ∑ (x † x)2 / n-1

= (23-21.7)2 + (19-21.7)2 + (26-21.7)2 + (17-21.7)2 + (21-21.7)2 + (24-21.7)2 + (22-21.7)2

= 1.29 + -2.71 + 4.29 + -4.71 + -0.71 + 2.29 + 0.29
= 0.03 ≈ 0

62. µ = 83 + 64 + 84 + 76 + 84 + 54 + 75 + 59 + 70 + 61 + 63 + 80 + 84 + 73 + 68 + 52 + 65 + 90 + 52 + 77 + 95 + 36 + 78 + 61 + 59 + 84 + 95 + 47 + 87 + 60

= 2116 / 30
= 70.53

68. µ = 21.57 / 15
= 1.44

a. ∑ (x-x) = (1.44-1.44) + (1.42-1.44) + (1.35-1.44) + (1.39-1.44) + (1.49-1.44) + (1.49-1.44) + (1.41-1.44) + (1.46-1.44) + (1.41-1.44) + (1.49-1.44) + (1.45-1.44) + (1.48-1.44) + (1.39-1.44) + (1.46-1.44) + (1.44-1.44)

= 0 + -0.02 + -0.09 + -0.05 + 0.05 + 0.05 + -0.03 + 0.02 + -0.03 + 0.05 + 0.01 + 0.04 + -0.05 + 0.02 + 0

= 0.03 ≈ 0

b. 1.35, 1.39, 1.39, 1.41, 1.41, 1.42, 1.44, 1.44, 1.45, 1.46, 1.46, 1.48, 1.49, 1.49, 1.49
Median = 1.44

c. Mode = 1.49

d. s = √∑ (x-xbar)2 / n-1

= √(12-7.6)2 + (6-7.6)2 + (7-7.6)2 + (3-7.6)2 + (10-7.6)2 / 5-1
= √19.36 + 2.56 + 0.36 +21.16 + 5.76 / 4
= √49.2 / 4
= √12.3
= 3.507 = 3.51

70. GM = n√(x1) (x2)…(xn) 3%
= 10√33598 / 25000 † 1.0
= 10√1.34 † 1.0
= 0.029 = 0.03

GM = 10√44771 / 25000 † 1.0 4%
= 10√1.79 † 1.0
= 0.059 = .006

72. 12, 6, 7, 3, 10

a. Range = largest value † smallest value
= 12 † 3
= 9

b. MD = ∑ ‌ x-x / n 12+ 6 + 7 + 3 + 10 / 5 = 38 / 5 = 7.6

= (12-7.6) + (6-7.6) + (7-7.6) + (3-7.6) + (10-7.6)
= 4.4 + -1.6 + -0.6 + -4.6 + 2.4
= 4.4 + 1.6 + 0.6 + 4.6 + 2.4 / 5
= 13.6 / 5 = 2.72

Chapter 5

8. a. 2,000 licensed drivers and # of speeding...