1) The given histogram represents the prices (in thousand dollars) of a sample of listed houses for sale in a small city. Use it to answer the following questions. Prices of Listed Houses 00 Frequency N W 550 650 750 850 950 House Prices (Thousand Dollars) (a) How many houses are there in the sample? No need to show work. (3) Answer: 20 (b) What percent of the houses in the sample are having a sale price greater than (5) $750, 000? Answer: 20% 4 + 20 = 0.2 = 20% (c) Estimate the sample mean of the sale prices. Round the answer to one decimal place. (5) Answer: 850 p.2 of 52) A group of students estimated the length of one minute without reference to a watch or clock. The times (seconds) are given in the stemplot below. If you use a graphing calculator /Excel to find the answer, write a short explanation describing how you have obtained the answer. For each part, round the answer to one decimal place. 6 08 012678 08 8 Key: 3 1 means 31 (a) Find the mean. (5) Answer: 4.71 (b) Find the median. (5) Answer: 6 (c) Find the standard deviation. (8) Answer: 7.85 p.3 of 53) A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.67427 grams and a standard deviation of 0.05348 grams. (a) Find the z score for the weight of coin that is 5.81436 grams. Is this weight (6) significantly high? z score: significantly high? (yes or no): x - J Z = - X = M + z x0 (b) What weights are significantly low? (6) Answer: Weights that are less than grams are significantly low. 4) Listed below are the ACT Scores of 16 randomly selected students at a major university. (8) Find the 84th percentile. 23 24 19 13 18 27 30 17 21 32 26 24 23 27 22 24 Answer:5) The Highway Patrol, using radar, checked the speeds (in mph) of 20 passing motorists at a checkpoint. The results are listed below: 35 40 37 41 43 50 45 39 45 38 42 32 48 62 55 38 47 42 44 39 (a) Construct a cumulative frequency distribution using six classes. (5) (b) Determine the IQR. (1) Answer: (c) Fill in the blanks: When a speed is greater than mph or when a speed is (2) less than mph, it is considered to be an outlier. (d) Are there any outliers? If yes, list them. If no, write "none". (1) p.5 of 5