def guess_interval(nums, accuracy=0):
    if not nums:
        return 0
    nums = sorted([int(i) for i in nums])
    if len(nums) == 1:
        return nums[0]
    diffs = [nums[i + 1] - nums[i] for i in range(len(nums) - 1)]
    diffs = [item for item in diffs if item >= accuracy]
    sorted_diff = sorted(diffs)
    result = sorted_diff[len(diffs) // 2]
    return result