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Answer :
The value 15 and 45 will have 50% of the data.
To find between which two values 50% of the data would lie, we need to identify the median or the 50th percentile. This involves sorting the data set in ascending order and finding the middle value(s). In the case of an even number of data points, we take the average of the two middle values. If we have an odd number of data points, we take the middle one directly. For the given data set (10, 15, 20, 25, 30, 40, 45, 50, 55, 60, 65), we can see there are 11 values.
Therefore, the 50% mark or median would be the 6th value after sorting, which in this case happens to be 40.
Thus, in this specific set, 50% of the data lies between the 5th value (30) and the 7th value (45). Hence, option 2 which states '15 and 45' is the correct option as that interval contains the median and satisfies the condition that 50% of the data lie within this interval.
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