Q.1. Given a sample of survey results about how long does a family spend their daily time on TV. Find Mean, Median, Modal Class, Standard Deviation and Variation: Time (minutes) Number of family 0-29 8 30-59 5 60-89 16 90-119 7 120-149 9 150-179 5 Mean = Median = Modal Class= Standard Deviation = Variance = Q.2. Given a sample data set of weight of 10 people (in Kg): 78 63 34 89 78 56 77 80 75 67 Calculate Mean, Median, Mode, Mid-range, Range, Standard Deviation and Variance. Q.3. Given a sample data set of weight of 15 people (in Kg): 78 63 34 89 78 56 85 70 77 80 75 67 51 78 84 a) Give a five number summary of the dataset. b) Test the dataset for outliers and find if any c) Find the percentile rank of the value x = 67. Round your answer to nearest whole percent. d) Draw a boxplot for the above dataset. Q.4. The mean of a distribution is 27 and the standard deviation is 2. Use Chebyshev's Theorem and the formula to determine the minimum percentage of values that will fall between 22 and 32. Round your answer to two decimal places. Q.5. The mean of a distribution is 25 and the standard deviation is 6. Compute the z-score for the values a) x = 22 and b) x = 33. Give your answer as an exact decimal value. Q.6. Find the probability that a randomly selected group of four children will contain exactly three girls. Q.7. A card is drawn randomly from a well shuffled deck. Find the probability that it is: a) A diamond, b) A seven or a Heart, c) A Jack or a King, d) Not a Spade Q.8. In a group of 25 students, 8 are Freshman, 6 are Sophomore, 7 are Junior and the rest are seniors. A student is chosen at random. Find the probability that the student is: a) A sophomore, b) A freshman or a senior, c) Not a Junior Q.9. A coin is tossed three times. Draw a tree diagram and find the probability of getting: 2) At most one Head b) Exactly one Head At least two Tails d) Two heads and One