This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: List all the marks from the table. The marks obtained in the Grade 8 Mathematics test are: 33, 23, 38, 34, 90, 51, 80, 87, 43, 37 58, 65, 17, 45, 70, 53, 91, 23, 37, 96 89, 15, 17, 64, 96, 1, 57, 6, 13, 74 80, 98, 63, 88, 81, 78, 81, 88, 93, 68 There are a total of 40 marks. Step 2: Determine appropriate class intervals for the marks. The lowest mark is 1 and the highest mark is 98. We will use class intervals of 10, starting from 0. The intervals are: 0-9, 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99. Step 3: Tally the marks into their respective intervals and count the frequency. • 0-9: 1, 6 (2 marks) • 10-19: 17, 15, 17, 13 (4 marks) • 20-29: 23, 23 (2 marks) • 30-39: 33, 38, 34, 37, 37 (5 marks) • 40-49: 43, 45 (2 marks) • 50-59: 51, 53, 57, 58 (4 marks) • 60-69: 65, 64, 63, 68 (4 marks) • 70-79: 70, 74, 78 (3 marks) • 80-89: 80, 87, 89, 80, 81, 88, 81, 88 (8 marks) • 90-99: 90, 91, 96, 96, 98, 93 (6 marks) Step 4: Construct the tally and frequency table. |c|c|c| Mark (m) & Tally & Frequency \\ 0-9 & || & 2 \\ 10-19 & |||| & 4 \\ 20-29 & || & 2 \\ 30-39 & ||||| & 5 \\ 40-49 & || & 2 \\ 50-59 & |||| & 4 \\ 60-69 & |||| & 4 \\ 70-79 & ||| & 3 \\ 80-89 & ||||| ||| & 8 \\ 90-99 & ||||| | & 6 \\ The final answer is The tally and frequency table for the marks is shown above.. What's next? 3 done, 2 left today. You're making progress.