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Answers to Math Exercises & Math Problems: Mathematical Statistics

 

 

- Show Answer to the Exercise:

 

 

 

 

 

1. Caroline will get better mark than James in two subjects.

 

Mathematical statistics - Answers to Exercise 1

 

 

2. Arithmetic mean = 170.8, med(x) = 171, mod(x) = 173, s2 = 21.87, s = 4.7

 

3. med(x) = 1.00, s2 = 0.0012

 

4. med(x) = 154.5, mod(x) = 158, Arithmetic mean = 154.47

 

Mathematical statistics - Answers to Exercise 4

 

5. Arithmetic mean of the measured heights = 157.1 cm, Arithmetic mean of the measured weights = 48.4 kg, r = 0.856
There is a high degree of linkage between the height and the weight of the ten students.

 

Mathematical statistics - Answers to Exercise 5

 

6. a)

 

Mathematical statistics - Answers to Exercise 6a

 

b)

Mathematical statistics - Answers to Exercise 6b

 

c) Arithmetic mean = 70.46, s2 = 310.89

d) Arithmetic mean = 71, s2 = 321.38

 

Mathematical statistics - Answers to Exercise 6d

 

7. 1st type: Arithmetic mean = 307.42, med(x) = 310, mod(x) = 310
2nd type: Arithmetic mean = 301, med(x) = 313, mod(x) = 313

 

8. μ < 109.65 ; 114.35 >

 

9. μ < 0.1373 ; 0.1422 >

 

10. σ < 3.790 ; 8.549 >

 

 

 

 

 

 

You might be also interested in:

- Probability

- Variations, Permutations, Combinations

- Factorials and Combinatorial Expressions

- Combinatorial Equations and Inequalities

 

 
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