Final answer:
To find between which two values 50% of the data lie, we need to find the median. The median is the middle value when the data is arranged in ascending order. The correct answer is C.
Step-by-step explanation:
The data values given are:
10 15 20 25 30 35 40 45 50 55 60 65
To find between which two values 50% of the data lie, we need to find the median. The median is the middle value when the data is arranged in ascending order. In this case, the middle value is 35. Therefore, 50% of the data would lie between 35 and the middle value before it, which is 30. So the answer is between 30 and 35.
To accurately determine where 50% of the data lies, the interquartile range is needed, which is between the 25th percentile (Q1) and the 75th percentile (Q3). Assuming an even distribution for the provided data, the middle 50% would be between the values 25 and 50. However, this is a speculation and more context is needed for a precise answer.
To determine between which two values 50% of the data lie, we often refer to this range as the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3) in a data set.
Without the exact data distribution or a box plot, it is challenging to provide the precise answer. However, given that this is a question related to understanding concepts, we can typically deduce that the middle 50% of data in a set arranged in ascending order lies between the 25th percentile (Q1) and the 75th percentile (Q3).
If we are to assume an even distribution across the data provided (10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65), with each number representing an equal percentile range, Q1 would be around the 3rd data value (25% of 12 data points), and Q3 would be around the 9th data value (75% of 12 data points). This would suggest that the middle 50% of the data would be between the values corresponding to these percentiles, which looking at our list would be in the range of 25 (Q1) to 50 (Q3).
However, without a box plot or specific data distribution details, this is a speculative approach. For an accurate answer, one would need more context or descriptive statistics information.