1 hour – 45 marks

Statistics [8 marks]

For the following data set relating to sales in a shopping center a temperature

Sales | 1 | 5 | 10 | 13 | 16 | 21 | 25 |

Temperature | 22 | 24 | 26 | 28 | 30 | 32 | 34 |

i) Find the median number of sales [1 mark]

ii) Sketch a scatter plot of temperature against sales [2 mark]

iii) Comment on the r^{2} value [1 mark]

iv) Define the range of temperature [1 mark]

v) What is the standard deviation of sales [2 marks]

vi) Explain whether or not this is an example of bivariant data [1 mark]

Integration

2) [6 marks]

3)

Integrate, leaving the answer in the exact form:

4i)

Differentiate

ii) Hence or otherwise find the primitive function