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Question
reading a bar chart summer reading competition each student in a class recorded the number of books they read over the summer. the bar chart shows how many students read different numbers of books. order the frequency of the number of books read by students in the class from least to greatest. numbers 9, 15, 12, 3, 6 in boxes below
Step1: Identify the values
The number of books read are 3, 6, 9, 12, 15 (from the bar chart, we can infer the frequencies: for 3 books, the number of students (frequency) is 5? Wait, no, the x - axis is "Number of Books Read" with values 3, 6, 9, 12, 15 and y - axis is "Number of Students". Wait, actually, we need to order the number of books read (the x - axis categories) by the number of students (frequency, y - axis length). Wait, the problem says "Order the frequency of the number of books read by students in the class from least to greatest". Wait, the numbers given are 3, 6, 9, 12, 15 (the number of books), and we need to find their frequencies (number of students) from the bar chart.
Looking at the bar chart:
- For 3 books: the bar reaches up to 5 (y - axis: number of students)
- For 6 books: the bar reaches up to 7
- For 9 books: the bar reaches up to 4
- For 12 books: the bar reaches up to 2
- For 15 books: the bar reaches up to 1
So the frequencies (number of students) for each number of books (3, 6, 9, 12, 15) are 5, 7, 4, 2, 1 respectively.
Step2: Order the frequencies from least to greatest
The frequencies are 1 (for 15 books), 2 (for 12 books), 4 (for 9 books), 5 (for 3 books), 7 (for 6 books). Now, we need to order the number of books (the categories) by their frequencies from least to greatest.
So first, the frequency 1 corresponds to 15 books, frequency 2 corresponds to 12 books, frequency 4 corresponds to 9 books, frequency 5 corresponds to 3 books, frequency 7 corresponds to 6 books.
So ordering the number of books (the original values: 3, 6, 9, 12, 15) by their frequencies (number of students) from least to greatest:
15 (frequency 1), 12 (frequency 2), 9 (frequency 4), 3 (frequency 5), 6 (frequency 7)
Wait, but the problem shows the numbers 3, 6, 9, 12, 15 as the options to order. Wait, maybe I misread. Let's re - examine the problem: "Order the frequency of the number of books read by students in the class from least to greatest." Wait, the "frequency" here is the number of students who read a certain number of books. So we need to find for each number of books (3, 6, 9, 12, 15), how many students (frequency) read that number, then order those frequencies.
From the bar chart:
- Number of books = 3: number of students (frequency) = 5 (since the bar for 3 books goes up to 5 on the y - axis)
- Number of books = 6: number of students (frequency) = 7 (bar goes up to 7)
- Number of books = 9: number of students (frequency) = 4 (bar goes up to 4)
- Number of books = 12: number of students (frequency) = 2 (bar goes up to 2)
- Number of books = 15: number of students (frequency) = 1 (bar goes up to 1)
Now, we order these frequencies (1, 2, 4, 5, 7) from least to greatest. But the problem has the numbers 3, 6, 9, 12, 15 as the elements to order (probably ordering the number of books by their frequency). So the order of the number of books (from least frequency to greatest frequency) is:
15 (frequency 1), 12 (frequency 2), 9 (frequency 4), 3 (frequency 5), 6 (frequency 7)
So if we list the numbers (3, 6, 9, 12, 15) in the order of their frequencies from least to greatest, it is 15, 12, 9, 3, 6.
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15, 12, 9, 3, 6 (in the order of least to greatest frequency of number of books read)