In a survey of 365 randomly selected households, respondents were requested to indicate their monthly household...

  

Transcribed Image Text:

In a survey of 365 randomly selected households, respondents were requested to indicate their monthly household income. The data is organised in Table 6 below. + Monthly Household Income ($) Number of Respondents 0 up to 2,000 2,000 up to 4,000 4,000 up to 6,000 6,000 up to 8,000 31 62 121 79 8,000 up to 10,000 46 10,000 up to 12.000 19 12,000 up to 14,000 7 Table 6 Calculate the following and show all workings. (a) (i) Mean (ii) Median (iii) Mode (b) State TWO scenarios where relative dispersion is a better measure of dispersion than standard deviation. QUESTION 7 (10 Marks) Vehicles pass through a junction on a busy road at an average rate of 300 per hour. (a) Find the probability that none passes in a given minute. (b) What is the expected number passing in two minutes? () (3 marks) Based on your answer in part (b) find the probability that this expected number actually pass through in a given two-minute period. (d) Based on your answer in part (b) write the excel function to find the probability that this expected number actually pass through in a given two-minute period. In a survey of 365 randomly selected households, respondents were requested to indicate their monthly household income. The data is organised in Table 6 below. + Monthly Household Income ($) Number of Respondents 0 up to 2,000 2,000 up to 4,000 4,000 up to 6,000 6,000 up to 8,000 31 62 121 79 8,000 up to 10,000 46 10,000 up to 12.000 19 12,000 up to 14,000 7 Table 6 Calculate the following and show all workings. (a) (i) Mean (ii) Median (iii) Mode (b) State TWO scenarios where relative dispersion is a better measure of dispersion than standard deviation. QUESTION 7 (10 Marks) Vehicles pass through a junction on a busy road at an average rate of 300 per hour. (a) Find the probability that none passes in a given minute. (b) What is the expected number passing in two minutes? () (3 marks) Based on your answer in part (b) find the probability that this expected number actually pass through in a given two-minute period. (d) Based on your answer in part (b) write the excel function to find the probability that this expected number actually pass through in a given two-minute period.