e are being asked to answer the following questions: 1. How many students got 5 ? 2. How many students got below 3 ? 3. If the passing score is 4 , how many passed the quiz? 4. What was the lowest score obtained by a student?

1. To determine how many students got a score of \(5\), we need the frequency (or count) assigned to that score. In other words, if we let \(f(5)\) be the number of students scoring \(5\), then the answer is \[ f(5). \] 2. To find how many students scored below \(3\), we typically sum the frequencies for the scores that are less than \(3\). For example, if the scores are \(0, 1, 2, \ldots, 5\) with frequencies \(f(0)\), \(f(1)\), \(f(2)\), \(\dots\) respectively, then the total number of students scoring below \(3\) is \[ f(0) + f(1) + f(2). \] 3. If the passing score is \(4\), then any score of \(4\) or \(5\) is considered passing. Thus, the number of students who passed the quiz is given by \[ f(4) + f(5). \] 4. The lowest score obtained by a student is found by identifying the smallest score for which the corresponding frequency is positive. If we denote the scores in increasing order (for example, \(0, 1, 2, 3, 4, 5\)) and if there exists a score \(s_{\text{min}}\) such that \[ f(s_{\text{min}}) > 0, \] and for all \(s < s_{\text{min}}\) we have \[ f(s) = 0, \] then \(s_{\text{min}}\) is the lowest score obtained. *Note:* To obtain numerical answers, the actual frequency distribution (i.e. the values for \(f(0), f(1), \ldots, f(5)\)) must be provided. Without those specific data, we can only express the answers in this general form.