C#时间平均

如何计算给定列表的平均值,其内容如下所述:

06:56
06:58
06:55
06:54
06:54
06:53
06:55
06:53
06:58
06:54
06:58
06:55
06:54
06:50
06:54
06:57

任何的想法 ？!？

        var times = new List
        {
            "06:56",
            "06:58",
            "06:55",
            "06:54",
            "06:54",
            "06:53",
            "06:55",
            "06:53",
            "06:58",
            "06:54",
            "06:58",
            "06:55",
            "06:54",
            "06:50",
            "06:54",
            "06:57"
        };
        var average = times
            .Select(TimeSpan.Parse)
            .Average(x => x.TotalMilliseconds);

        var averageTime = TimeSpan.FromMilliseconds(average);