Final answer:
The data values were sorted into corresponding bins and listed in increasing order. The bins had ranges that did not include all possible values correctly, indicating a possible typo or mistake in the bin labels, which would need clarification for accurate sorting.
Therefore, the correct answer is: a. 27 30 31 31 37
Step-by-step explanation:
To tackle this question, we'll assign each data value to its corresponding bin based on the ranges provided. We will list them in increasing order, as requested.
- The first bin, likely intended for values between 27 and 31, will contain the following data values: 27 30 31 31 37. The value 37 is not within our expected range; possibly due to a typo in the bin label, but we shall include it here because no other bin fits for 37.
- The second bin, covering values in the range of 32 to 40, should thus contain: 38 38 40.
- For the third bin, which includes values from 41 to 45, there are no values.
- The fourth bin, for values from 46 to 50, includes: 46 47 48.
- Lastly, the remaining values, 44 44, do not have a specified bin. However, based on the distribution, we would place them in a bin for values likely between 41 to 45 which was not mentioned in the original question.
It appears there are no bins corresponding to the values of 44, and the initial bins might have a typo or mistake, as they don't cover all the values correctly. This might need clarification for proper categorization.