Q3

cuss-non 3 (22 MARKS) The company's manager selects its new marketing executive through an interview process. The interview session was attended by sixty ve candidates. The following frequency table displays the candidates' interview scores. Table 1: The frequency table for the candidates' interview scores. Interview score Number of candidates 61-65 66-70 71-75 76-80 81 -85 86-90 91 -95 96-100 a) Calculate the mean and standard deviation. Interpret the value of the mean. (4 marks) b) Given that the mean and variance of the interview score of a random sample of 15 candidates who went to the interview session last year were 78 and 30, respectively, gure out which group of candidates is the most consistent in their interview score. (3 marks) c) Construct the histogram and estimate the mode. (6 marks) d) Find the median. Interpret. (3 marks) e) Construct the less than ogive and estimate the 64''1 percentile. (6 marks)