1. Express each fraction as a percent. (1 mark each) a) 5/9 b) 17/80 2. Express each decimal as a percent. (1 mark each) a) 0.051 b) 4.12 3. Express each percent as a decimal. (1 mark each) a) 84.7% b) 0.98% 4. The local sales tax is 4.95%. You purchase a car for $31,300. (1 mark each) a) What is the tax paid? b) What is the car's total cost? 5. Boxing day sales offer 15% discount on ski coats. The coat you want is $300. (1 mark each) a) What is the discount amount? b) What is the coat's sale price? 6. You new job pays you $108,600/year. If your old job paid $84,700/year, what is the percent increase for the new job over the old job? (1 mark) 7. The population Cuba is projected to decline from 11.3 million to 10.2 million by the end of 2020. What is the percent decrease of this decline? (1 mark) 8. You borrow $6000 from a loan shark at 11% simple interest rate for 9 months. How much do you owe at the end of the term? (1 mark) 9. You lend out $6200 and get $8525 back after 5 years. What was the simple interest rate on the loan? (1 mark) 10. If you wanted to have $3500 in your account after 7 years with 3.5% simple interest rate, how much would you need to start with? (1 mark) 11. The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. Find out how much money will be in the account after the given number of years. (Assume 360 days in a year). (1 mark each) Principal |Rate |Compounded Time a) $8000 3.9% Quarterly 4 years b) $1500 7% Monthly 10 years 12. The principal represents an amount of money deposited in a savings account subject to continuously compounded interest at the given rate. Find out how much money will be in the account after the given number of years. (1 mark each) Principal Rate Time a) $11,000 6% 2 years b) $5500 4.8% 5 years Dil DD F5 F6 F7 F8 F9 F10 F 1112. The principal represents an amount of money deposited in a savings account subject to continuously compounded interest at the given rate. Find out how much money will be in the account after the given number of years. (1 mark each) Principal Rate Time a) $11,000 6% 2 years b) $5500 4.8% 5 years 1 13. How much money should be deposited in an account that can earn 6% compounded semiannually so that it will accumulate to $12,000 in 3 years? (1 mark) 14. Which account is a better investment? (Assume 360 days in a year) (3 marks) Account 1 Account 2 6.35% compounded daily |6.5% compounded monthly 15. A savings account has a rate of 7%. Find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compound: (1 mark each) a) quarterly b) 5000 times in a year Chapter 12: Statistics (37 marks) 1. Construct a grouped frequency distribution for the below data. Use 85-94 for the first class and use the same width for each subsequent class. (2 marks) 85 87 105 133 122 110 117 99 95 109 126 132 134 128 114 116 127 91 88 104 109 113 129 124 106 115 108 122 126 119 101 115 109 102 110 121 132 90 120 111 2. Calculate the mean, mode and median for the following data sets. (4 marks each) a) 9, 2, 5, 4, 2, 3, 8, 7 b ) F4 F6 DII DD E7 F8 F9 F11 F12 % & 8 9 O Y U O PChapter 12: Statistics (37 marks) 1. Construct a grouped frequency distribution for the below data. Use 85-94 for the first class and use the same width for each subsequent class. (2 marks) 85 87 105 133 122 110 117 99 95 109 126 132 134 128 114 116 127 91 88 104 109 113 129 124 106 115 108 122 126 119 101 115 109 102 110 121 132 90 120 111 2. Calculate the mean, mode and median for the following data sets. (4 marks each) a) 9, 2, 5, 4, 2, 3, 8, 7 b) X 10 2 11 4 12 6 13 9 14 8 15 5 16 3. Find the standard deviation for each group of data items. (2 marks each) a) 0.5, 0.6, 0.7, 0.8, 0.9 b) 10, 10, 10, 13, 13, 16, 16, 16 4. The scores on a test are normally distributed with a mean of 85 and a standard deviation of 10. Find the score that is: (1 mark each) a) 2 standard deviations above b) 0.5 standard deviations below 5. A data set is normally distributed with a mean of 52 and a standard deviation of 6. Convert each data item to a z-score. (1 mark each) a) 40 b) 54 C) 68 6. A data set is normally distributed with a mean of 140 and a standard deviation of 16. Begin by converting the data items to z-scores, then use Table 17 to find the percentage of items with the given scores. (2 marks each) a) below 119.2 b) above 168.8 c) between 147.2 and 173.6 2 FA F5 F6 F7 DD F9 F10 F11 & 8 9 O7. A data set is normally distributed with a mean of 83.6 and a standard deviation of 4.2. Begin by converting the data items to z-scores, then use Table 17 to find the percentage of items with the given scores. (2 marks each) a) below 79.82 b) above 92.42 c) between 82.76 and 87.59 8. Compute the correlation coefficient for the given data sets. (3 marks each) a) b X y X y 3 6.1 w - 2 5.2 4 6 4.3 6 7 3.4 7 6 8 2.5 9 1.6 EA F5 DD DD F9 F10 % & A 9 O T Y U O P