Question 3 The price in £1000s of a random sample of 150 houses in the northern side of a town are summarised in the table below. Price (£1000s) x Frequency 140 to less than 160 18 160 to less than...

Extracted text: Question 3 The price in £1000s of a random sample of 150 houses in the northern side of a town are summarised in the table below. Price (£1000s) x Frequency 140 to less than 160 18 160 to less than 170 21 170 to less than 180 46 180 to less than 200 30 200 to less than 250 25 250 to less than 350 10 a) What fraction of the houses are worth less than £170 000? Write your answer in its simplest form. b) Use your calculator to estimate the mean and standard deviation of house prices in this area. Round your answers to the nearest £1000. c) Use linear interpolation to find an estimate of the median house price. Round your answer to the nearest £1000. d) Use your answers to parts b) and c) to calculate Pearson's coefficient of skewness. Interpret your answer. e) Which average best represents the distribution of house prices in the northern side of the town. Explain your answer. f) A similar survey is done in the southern side of the same town. The mean house price is estimated to be £205 000 with a standard deviation of £11 000. Describe the main differences between house prices in the northern and southern sides of the town.