The data shows the classification that 40 students received for their homework. By forming a frequency table, determine the most common classification.
So to solve this question, the first thing you need to do is draw up our frequency table. So here’s our frequency table. What I’ve got across the top is the classification, so we’ve got pass, good, very good, and excellent. Downside, I have tally and frequency. I’ve included tally because it’ll be very useful when we’re counting up the different classifications that we have. So I’m gonna start by tallying up the passes. And to do this what I’m gonna do is do each row at a time, being very careful to make sure that I don’t miss any. So I’ve got one pass in the first row, so I draw one vertical stick, then three in the second row, so I now add three vertical sticks. And then I’ve got one in third row, so what I do now is add a diagonal line. And I do this because we had four vertical sticks or vertical lines, so the fifth one is always diagonal. So then in the fourth and final row, I have three more passes, so I add these on as three more vertical sticks or vertical lines.
So now I move onto good, and I’ve got three goods in the first row. Then I have one in the second row, three in the third row, which means I’ve added one diagonal line, and then two vertical lines for three. And again it’s because we’ve reached four, so five, and then add two more. So in the fourth row, we have three more goods. So what I do that I add two more vertical lines and one more diagonal line. So now we’re gonna move to very good. We’ve got two of these in the first row, and then we’ve got three in the second row. So we’re gonna have to add two vertical lines and one diagonal line. And then we have three more in the third row, and then finally one in the fourth row.
So now we can move on to our final classification, which is excellent. So we start with four excellents in the first row, three in the second row, three in the third row, and then finally in the final row we have three more. So now we finish tallying up our classifications, we can count how many we’ve got of each of them. So we take a look at pass; we have eight; good, we have 10; very good, we have nine; and excellent, we have 13. Now what we can do now to make sure that we haven’t missed any out and recorded everything properly and our tally is add up how many this makes. Well when we add them up, we get 40 because eight plus 10 is 18 plus nine is 27 plus 13 is 40. So we knew that there were 40 students, so we know we haven’t missed any out. So that means we’ve completed the first part of the question which is to form a frequency table.
Now what we need to do is determine the most common classification. Well if we look at our frequency table, we can see that excellent has 13 students, so this will be the most common. So therefore, we can say that by using our frequency table we can see the excellent is the most common classification.