cameroon gce advance level business mathematics 3
cameroon gce advance level business mathematics 3
1. The following table provide marks on a competitive examination for ten students in two courses:
| Candidate | A | B | C | D | E | F | G | H | I | J |
| Accounting (X) | 95 | 83 | 74 | 92 | 84 | 89 | 36 | 71 | 49 | 71 |
| Business Maths (Y) | 78 | 92 | 72 | 84 | 81 | 93 | 63 | 63 | 66 | 73 |
Calculate:
a) The equations of the least squares regression line of Y on X and X on Y (8 marks)
b) The product-moment correlation coefficient (5 marks)
c) The spearman’s coefficient of correlation (7 marks)
(Total = 20 Marks)
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2. The table provides information for three commodities in the Muea Market in 2018 and 2019:
| Commodities | 2018 | 2019 | |
| Price (FCFA) | Quantity (KG) | Price (FCFA) | Quantity (KG) |
| Rice | 600 | 500 | |
| Groundnut | 400 | 300 | |
| Beans | 500 | 400 |
The prices of each commodity sold in 2018 increased by 10% in 2019, meanwhile their respective quantities
dropped by 5%.
Using 2018 as based year, calculate:
a) The simple price and quantity indices for each product. (6 marks)
b) The simple price and quantity aggregates (6 marks)
c) The Laspeyres and Paasche indices (8 marks)
(Total = 20 marks)
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3. a) (i) What is skewness? (2 marks)
(ii) Differentiate between positively and negatively skewed distributions (4 marks)
b) A die is tossed 116 times and the following distribution is obtained:
| Number on die (xi) | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency (ni) | 14 | 22 | 30 | 25 | 15 | 10 |
Calculate:
i) The mean and the mean deviation of the distribution. (6 marks)
| ii) iii) |
The median and standard deviation of the distribution. The coefficient of skewness |
(5 marks) (3 marks) (Total = 20 marks) |
