Question

Wo commondities A and B cost 070 and D80 respe

with 26 kg of B and the mixture issold at 085 per kg: calo
The weight (in kg) of 50 contenstants at a competition is
65 66 67 66 64 66 65 63 65 68
64 62 66 64 67 65 64 66 65 67
65 67 66 64 65 64 66 65 64 65
66 65 64 65 63 63 67 65 63 64
66 64 68 65 63 65 64 67 66 64
a. construct a frequency table for the discrete data
b. calculate, correct to 2 decimal places, the
mean,
ii. standard deviation of the data​

Answer 1

b) 65.08

ii) 0.75

Explanation:

x(Kg): 62 63 64 65 66 67 68

Frequency(f): 1 5 11 15 10 6 2

xf: 62 315 704 975 660 402 136

b) mean(X) = ∑xf/N = 3254/50 = 65.08

c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92

(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53

ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613

∴ S.D.= 0.75