8. A professor grades students on 5 tests, a project, and a final examination. Each test counts as 10% of the course grade. The project counts as 20% of the course grade. The final examination counts as 30% of the course grade. Samantha has test scores of 70, 65, 82, 94, and 85. Samantha's project score is 92. Her final examination score is 80. Use the weighted mean formula to find Samantha's average for the course. Hint: The sum of all the weights is 100% = 1. Ill. Find the range and standard deviation of each of the following: 9. The mean salary of ten nurses is P 32,000 and the median is P 30,000. The highest paid employee gets a P 5,000 raise. a. What is the new mean salary of the ten nurses? b. What is the new median salary of the ten nurses ? 10. The Department of Trade and Industry surveyed the price of unleaded gasoline at gas stations in Tagum City and Digos City. The raw data in pesos per gallon, are given in the table below. TAGUM 48.75 49.25 48.65 50.10 47.80 49.10 CITY DIGOS 50.10 48.90 47.95 48.99 48.25 49.85 CITY a. Find the mean price in each city. Which city has the lowest mean? b. Find the standard deviation of prices in each city c. Which city has the most consistently priced gasoline? Why