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| Section | Objectives |
|---|---|
| Fundamental Mathematics | - Numerical methods - Algebra
|
| Mathematical Techniques | - Basic modeling concepts - Mathematical notation and functions |
| Probability and Statistics | - Descriptive statistics - Statistical distributions - Probability theory |
Question 1
Consider the three vectors:
Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude
A. v
B. u+v
C. w
D. v-u
Question 2
A snack bar does not give an itemised bill tor drinks In the past three visits, the total bills have been:
1) Three teas, two coffees and one lemonade cost £9.80
2) One tea four coffees and two lemonades cost £13.60
3) Two teas, two coffees andtwo lemonades cost£10
Calculate the price for a single coffee, given the prices have been the same for the three visits.
A. £1.20
B. £2.05
C. £2.48
D. £2.40
Question 3
The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.
A. i) Symmetric, ii) 4
B. i) Negatively skewed, ii) 3
C. i) Positively skewed, ii)
D. i) Positively skewed, ii) 3
Question 4
Identify which of the following statements is not true.
A. The variance is the square of the standard deviation.
B. The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
C. The coefficient of skewness for a symmetric distribution is 1.
D. The skewness is a measure of the asymmetry of a probability distribution about the mean.
Question 5
Calculate the determinant of the product of the matrices given below:
A. -0 00227
B. -78
C. -440
D. -60
Solutions:
| Question 1 Answer: B | Question 2 Answer: D | Question 3 Answer: D | Question 4 Answer: B | Question 5 Answer: C |
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