Answer all of the Questions. Show all of your working where necessary. State units for your answers where necessary. Round off decimal answers to two decimal places.

Here are the solutions to your questions: Step 1: Answer Question 1. To find the mean of a set of numbers, sum all the numbers and divide by the total count of numbers. The given numbers are: 18, 12, 15, 17, 14, 11, 17, 14. There are 8 numbers. Sum = 18 + 12 + 15 + 17 + 14 + 11 + 17 + 14 = 118 Mean = SumCount = (118)/(8) = 14.75 1. What is the mean of the following set of numbers? Answer: 14.75 Step 2: Answer Question 2. To find the average score, sum all the scores and divide by the total number of scores. The given scores are: 122, 145, 144, 168, 125, 142. There are 6 scores. Sum of scores = 122 + 145 + 144 + 168 + 125 + 142 = 846 Average score = Sum of scoresNumber of scores = (846)/(6) = 141 2. Stephen scored the following points in an online game: 122, 145, 144, 168, 125 and 142. What is his average score? Answer: 141 Step 3: Answer Question 3. The value 'a' is the midpoint (M) for the class interval 16-20. The midpoint is calculated as Lower Limit + Upper Limit2. a = (16 + 20)/(2) = (36)/(2) = 18 We can also verify this using the fM column: for the last row, frequency (f) is 7 and fM is 126. So, f × M = 7 × a = 126. a = (126)/(7) = 18 3. What must be the value of a in the table? Answer: 18 Step 4: Answer Question 4. The value 'b' is the sum of all fM values ( fM). b = 24 + 72 + 78 + 126 b = 96 + 78 + 126 b = 174 + 126 b = 300 4. What must be the value of b in the table? Answer: 300 Step 5: Answer Question 5. The mean of grouped data is calculated using the formula: Mean = ( fM)/(N). From the table, we have N = 30 and we calculated fM = b = 300. Mean = (300)/(30) = 10 5. What is the mean of the grouped data in the table? Answer: 10 That's 2 down. 3 left today — send the next one.