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
Welcome back — been a while! Let's pick up where you left off. Step 1: Understand the definition of a modal class. The modal class is the class interval with the highest frequency. Step 2: Identify the given modal class and its frequency. The problem states that the modal class is 40-50 kg. From the table, the frequency for this class is P. Step 3: Compare the frequency of the modal class with other frequencies. For 40-50 kg to be the modal class, its frequency P must be greater than the frequencies of all other classes. The frequencies of the other classes are: • 20-35 kg: 30 pupils • 55-60 kg: 12 pupils • 65-70 kg: 16 pupils • 75-85 kg: 21 pupils So, P must satisfy the following conditions: P > 30 P > 12 P > 16 P > 21 Step 4: Determine the least possible integer value for P. To satisfy all these conditions, P must be greater than the largest of the other frequencies. The largest frequency among 30, 12, 16, and 21 is 30. Therefore, P > 30. Since P represents the number of pupils, it must be an integer. The least integer value greater than 30 is 31. The least possible value of P is: 31 Send me the next one 📸