Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to three. The second, labeled ten through nineteen, has a bar that goes up to seven. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has no bar. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to one.
Image with alt text: Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to three. The second, labeled ten through nineteen, has a bar that goes up to seven. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has no bar. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to one.
Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to two. The second, labeled ten through nineteen, has a bar that goes up to five. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has a bar that goes up to two. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to four.
Image with alt text: Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to two. The second, labeled ten through nineteen, has a bar that goes up to five. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has a bar that goes up to two. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to four.
Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to two. The second, labeled ten through nineteen, has a bar that goes up to five. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has no bar. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to one.
Image with alt text: Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to two. The second, labeled ten through nineteen, has a bar that goes up to five. The third, labeled twenty through twenty-nine has a bar that goes up to three. The fourth, labeled thirty through thirty-nine, has no bar. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to one.
Bar graph with no title. The y axis is labeled Frequency and ranges from zero to eight. The x axis contains six categories. The first, labeled zero through nine, has a bar that goes up to two. The second, labeled ten through nineteen, has no bar. The third, labeled twenty through twenty-nine has a bar that goes up to five. The fourth, labeled thirty through thirty-nine, has a bar that goes up to four. The fifth, labeled forty through forty-nine, has a bar that goes up to six. The sixth, labeled fifty through fifty-nine, has a bar that goes up to four.
1 answer
To determine which histogram represents the given data set (8, 9, 10, 11, 11, 14, 18, 28, 28, 29, 40, 41, 41, 44, 45, 47, 55), we need to organize the data into frequency categories corresponding to the x-axis labels of the histograms:
Category 0-9: The values in this range are 8 and 9. So, the frequency is 2.
Category 10-19: The values in this range are 10, 11, 11, 14, and 18. So, the frequency is 5.
Category 20-29: The values in this range are 28, 28, and 29. So, the frequency is 3.
Category 30-39: There are no values in this range. So, the frequency is 0.
Category 40-49: The values in this range are 40, 41, 41, 44, 45, and 47. So, the frequency is 6.
Category 50-59: The value in this range is 55. So, the frequency is 1.
Now we can summarize the frequencies:
0-9: 2
10-19: 5
20-29: 3
30-39: 0
40-49: 6
50-59: 1
Now we can compare these frequencies with the options available:
First option (Frequency: 3, 7, 3, 0, 6, 1) - Incorrect for the range 10-19.
Second option (Frequency: 2, 5, 3, 2, 6, 4) - Incorrect for the range 0-9 and 30-39.
