A student rolled two six-sided number cubes several times. The numbers below are the sums of the numbers she rolled. Which histogram represents the data? 2, 7, 10, 6, 12, 9, 5, 10, 6 (1 point) Responses The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 4. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 4. The frequency of the second interval, 6 to 9, is 3. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 4. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 3. The frequency of the second interval, 6 to 9, is 3. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 3. The frequency of the second interval, 6 to 9, is 4. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 2. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 5. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 2. The frequency of the second interval, 6 to 9, is 4. The frequency of the third interval, 10 to 12, is 3. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 2. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 5. Skip to navigation

Question

A student rolled two six-sided number cubes several times. The numbers below are the sums of the numbers she rolled. Which histogram represents the data? 2, 7, 10, 6, 12, 9, 5, 10, 6 (1 point) Responses The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 4. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 4. The frequency of the second interval, 6 to 9, is 3. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 4. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 3. The frequency of the second interval, 6 to 9, is 3. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 3. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 2. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 3. The frequency of the second interval, 6 to 9, is 4. The frequency of the third interval, 10 to 12, is 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 3. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 2. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 2. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 5. Image with alt text: A histogram has intervals on the horizontal axis and frequencies on the vertical axis. The frequency of the first interval, 2 to 5, is 2. The frequency of the second interval, 6 to 9, is 4. The frequency of the third interval, 10 to 12, is 3. The horizontal axis is labeled Sum. It is divided into three partitions. The first is labeled 2 dash 5. The second is labeled 6 dash 9. The third is labeled 10 dash 12. The vertical axis is labeled Frequency. It is numbered from 0 to 10 with a step size of 1. Three rectangles or bars are shown. The rectangle spanning the 2 dash 5 partition has a height of 2. The rectangle spanning the 6 dash 9 partition has a height of 4. The rectangle spanning the 10 dash 12 partition has a height of 5. Skip to navigation

Answer 1

To determine which histogram best represents the data, we first need to tally the number of times each sum range occurs in the data set provided:

The data set is: 2, 7, 10, 6, 12, 9, 5, 10, 6

We have the following ranges for the sums: 2-5, 6-9, and 10-12. Let's count the frequencies for each:

- For the range 2-5: Sums are 2 and 5, so the frequency is 2.
- For the range 6-9: Sums are 6, 7, and 9, so the frequency is 3 + 1 + 1 = 5.
- For the range 10-12: Sums are 10, 12, and another 10, so the frequency is 2 + 1 = 3.

Based on this tally:

- The partition 2-5 should have a height of 2.
- The partition 6-9 should have a height of 5.
- The partition 10-12 should have a height of 3.

Now, let's look at the provided histograms to determine which one corresponds to our frequencies:

1. The height for 2-5 is 4, which does not match our count.
2. The height for 6-9 is 3, which also does not match our count.
3. The height for 10-12 is 2, which is incorrect based on our frequency count.

None of the provided histograms seem to exactly match our count. However, the last histogram provided does appear to have a copy-paste error in its description. If the description is ignored and we assume the frequencies are correctly displayed in a hypothetical image, the histogram with heights 2 for the 2-5 partition, 5 for the 6-9 partition, and 3 for the 10-12 partition would be the one representing the data accurately. Since such an option is not explicitly described in the provided text, there may be an error or miscommunication in the information given.