Answers to Math Exercises: Mathematical Statistics 
Caroline will get better mark than James in two subjects.
= 170.8, med(x) = 171, mod(x) = 173, s^{2} = 21.87, s = 4.7
med(x) = 1.00, s^{2} = 0.0012
med(x) = 154.5, mod(x) = 158, = 154.47
= 157.1 cm, = 48.4 kg, r = 0.856
a)
b)
c) = 70.46, s^{2} = 310.89 d) = 71, s^{2} = 321.38
1st type: = 307.42, med(x) = 310, mod(x) = 310
μ ∈ < 109.65 ; 114.35 >
μ ∈ < 0.1373 ; 0.1422 >
σ ∈ < 3.790 ; 8.549 >
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