5. A gardener grows tomatoes in his greenhouse. The temperature of the greenhouse, in degrees Celsius, is recorded every day at noon for one week. 18 21 24 17 23 14 16 a) Calculate the mean of these temperatures. For best growth the mean temperature should be ( 20 + 5 ) C. (b) Are the conditions in the greenhouse likely to result in best growth? 6. The mean of four numbers is 71.5. If three of the numbers are 58, 76, and 88, what is the value of the fourth number? 7. Chad recently launched a new website. In the past six days, he has recorded the following number of daily hits: 37, 29, 37, 56, 45, 38. He is hoping at week's end to have an average number of 40 hits per day. To achieve this, how many hits must he have on the final day of the week? 8. If the mean of 3, 5 and x is equal to 6, what is the value of x? 9. If the median of 10, 18, 4, 15, 3, 21, and x is 7, what is the value of x? 10. Construct a set of five data with mean 3, median 4 and mode 4. 11. Create a set of five whole numbers from 1 to 20 that have the same mean and median 12. You want to find the mean weight of the apples in a barrel. 13. A survey asks students to state how many sodas they drink What do you need to do? per week. The results show a mean of 12 sodas per week at a. Lay the apples out in order of increasing weight and find a median of 8 sodas per week. What can you conclude? the weight of the apple in the middle. a. Something must have been done wrong in computing th b. Find the total weight of all the apples and divide by the mean and median. number of apples. b. Most students drink between 8 and 12 sodas per week. c. Divide the number of apples in the barrel by the weight of the barrel. C. At least one student drinks more than 16 sodas per week 15. 14. Twenty students take a political science exam. Eighteen score On a math exam, one student scores 79 while 25 students between 70 and 75, and two score 100. What can you conclude? score below 79 and 25 students score above 79. The score of 79 therefore represents the a. The mean is higher than the median. a. mean. b. The median is higher than the mean. b. median. c. mode. c. The median is higher than the mode,1. Mr. Redman collected the following data on mountains he has traversed. The measurements are in thousands of feet. 5.2, 14.1, 14.1, 14.4, 14.4, 14.4, 14.5, 14.5, 14.6, 14.7, 14.7, 14.7, 14.9 a) What is the mean? b) What is the median? c) What is the mode? 2. Use the answers and data from number 1 above to answer the following questions: a) Why are the mean and median so different? b) Does the mean or the median give a more accurate description of the measurements? Why? 3. In your History class the scores on the first four exams are 65, 78, 85, and 85; and your overall grade is determined by 5 exams. a. What is the minimum score you need on the next exam for your overall mean of your exams to be a B (i.e. 80% or higher)? b. Is it possible for you to earn an A (90% or higher)? 4. Not all 12-ounce cans of soda are the same. It turns out that the average 12-ounce can of soda does vary slightly. Suppose you find the following weights (in ounces) of randomly selected cans of soda. Find the mean, median and mode. 12.1 12.13 11.98 11.97 12.05 12.18 11.82 11.78 12.19 12.05 11.94 11.67 11.91 12.27 12.31