Problem Set I Bus 172 l) A corporation recruiting business graduates was particularly interested in hiring numerate graduates. To check on the numeracy of applicants, a test of fty questions was developed. In a pilot study, this test was administered to a sample of 10 recent business graduates, resulting in the following numbers of correct answers: 42 29 2 1 3 7 40 3 3 3 8 2 6 3 9 47 a) Find the mean number of correct answers.| b) Find the median of this sample. 2) A sample of fty personal property insurance policies found the following number of claims over the past 2 years. Number of 0 1 2 3 4 5 6 claims Number of 21 13 5 4 2 3 2 policies a) Find the mean number of claims per policy. b) Find the sample median number of claims. c) Find the modal number of claims for this sample. 3) 20 students from economics department were asked about their favourite course. 7 students said statistics, 3 of them said game theory, 9 of them said Microeconomics, 1 student said finance and 0 student said mathematics for economists. Draw a bar chart to represent the above information. 5) Calculate the mean, variance and standard deviation of the following SAMPLE of observations: 5.1, 4.2, 6.7, 9.4, 3.2, 6.6, 7.1, 8.4, 3.3, 5.2 6) A group committed to quality television has been concerned about a new talk show. For two weeks, they decide to count the number of words that must be "bleeped" as too obscene for television and the number of physical altercations. They hope that after recording this data that they will be able to argue that the show is inappropriate for television particularly during the day. The data for number of words censored is provided below. 342 267 321 157 33 349 254 166 132 289 a) Find the variance and standard deviation. b) What does this information tell you about variability of number of words censored per show? Choose the correct answer 7) What is the mode for the following distribution of scores? a) Eye colour Frequency b) Blue 365 c) Brown 432 (1) Hazel 99 e) Green 103 8) The most common type of average computed is a. mode b. variance c. mean d. median 7) What is the mean for the following values: 10, 35, 40, 60, 55, 25, and 50? a. 45 b. 44.17 c. 40 d. 39.29 8) The midpoint in a set of scores is called the a. mode b. mean c. median