Here are my data points:
{{86.0365, 38.6844}, {86.0526, 38.6998}, {86.069, 38.7154}, {86.085,
38.7308}, {86.1087, 38.7534}, {86.1332, 38.7766}, {86.1491,
38.7918}, {86.1651, 38.8068}, {86.1976, 38.8378}, {86.2377,
38.8758}, {86.2779, 38.9136}, {86.2942, 38.9289}, {86.3347,
38.9672}, {86.359, 38.99}, {86.3834, 39.0129}, {86.3996,
39.0281}, {86.4157, 39.0432}, {86.432, 39.0585}, {86.4562,
39.0812}, {86.4723, 39.0963}, {86.4968, 39.1191}, {86.5211,
39.1418}, {86.5534, 39.1719}, {86.5781, 39.1947}, {86.6104,
39.2249}, {86.6347, 39.2472}, {86.668, 39.278}, {86.6841,
39.2931}, {86.7082, 39.3152}, {86.7248, 39.3306}, {86.741,
39.3455}, {86.7573, 39.3605}, {86.7736, 39.3756}, {86.7898,
39.3904}, {86.8066, 39.4058}, {86.8229, 39.4209}, {86.839,
39.4357}, {86.8554, 39.4506}, {86.872, 39.4658}, {86.8965,
39.4882}, {86.9126, 39.503}, {86.9294, 39.5183}, {86.9456,
39.5332}, {86.962, 39.5481}, {86.9784, 39.5631}, {86.9945,
39.5776}, {87.012, 39.5936}, {87.0259, 39.6062}, {87.0506,
39.6289}, {87.0446, 39.6248}, {86.9309, 39.6007}, {86.9319,
39.6008}, {87.1508, 39.7224}, {87.3654, 39.9241}, {87.5335,
40.0905}, {87.7128, 40.2768}, {87.884, 40.4632}, {88.0522,
40.6547}, {88.2157, 40.8498}, {88.3747, 41.0487}, {88.5293,
41.2511}, {88.6793, 41.4572}, {88.8248, 41.6666}, {88.9656,
41.8794}, {89.1018, 42.0955}, {89.2334, 42.3148}, {89.3602,
42.5372}, {89.4823, 42.7625}, {89.5998, 42.9908}, {89.7124,
43.2221}, {89.8204, 43.4563}, {89.9238, 43.6932}, {90.0224,
43.933}, {90.1166, 44.1757}, {90.2062, 44.4212}, {90.2914,
44.6696}, {90.3721, 44.9211}, {90.4486, 45.1757}, {90.5209,
45.4338}, {90.589, 45.6955}, {90.6533, 45.9612}, {90.7138,
46.2312}, {90.7706, 46.5062}, {90.8241, 46.7866}, {90.8742,
47.0734}, {90.9214, 47.3672}, {90.9658, 47.6697}, {91.0078,
47.9819}, {91.0476, 48.3054}, {91.0858, 48.6428}, {91.1226,
48.9961}, {91.1587, 49.3684}, {91.1948, 49.7634}, {91.2319,
50.1849}, {91.2709, 50.6391}, {91.3132, 51.1306}, {91.3612,
51.6697}, {91.4166, 52.2603}, {91.4833, 52.9137}, {91.5656,
53.6424}, {91.6703, 54.4657}, {91.7964, 55.3387}, {92.0805,
56.9426}, {92.525, 58.792}, {93.1174, 60.7094}, {93.799,
62.5189}, {94.5706, 64.2644}, {95.4121, 65.9257}, {96.3133,
67.5056}, {97.2625, 69.0023}, {98.2484, 70.4143}, {99.2639,
71.7454}, {100.3, 72.9955}, {101.351, 74.1696}, {102.407,
75.2641}, {103.468, 76.2902}, {104.527, 77.2461}, {105.572,
78.1298}, {106.613, 78.9553}, {107.636, 79.7175}, {108.645,
80.4243}, {109.63, 81.0735}, {110.596, 81.673}, {111.538,
82.2233}, {112.45, 82.725}, {113.345, 83.1891}, {114.208,
83.61}, {115.042, 83.9921}, {115.847, 84.3391}, {116.627,
84.6545}, {117.378, 84.9388}, {118.101, 85.1949}, {118.795,
85.4242}, {119.46, 85.6288}, {120.101, 85.8117}, {120.716,
85.9736}, {121.305, 86.1165}, {121.872, 86.2421}, {122.412,
86.3509}, {122.933, 86.4453}, {123.434, 86.5265}, {123.913,
86.5948}, {124.377, 86.6522}, {124.822, 86.6988}, {125.254,
86.736}, {125.677, 86.7646}, {126.082, 86.7846}, {126.475,
86.7968}, {126.87, 86.8018}, {127.251, 86.7998}, {127.625,
86.7909}, {128.011, 86.7748}, {128.167, 86.7663}, {128.19,
86.7649}, {128.947, 86.7163}, {129.704, 86.6611}, {130.46,
86.5993}, {131.215, 86.5309}, {131.97, 86.4559}, {132.724,
86.3743}, {133.478, 86.2862}, {134.23, 86.1915}, {134.982,
86.0902}, {135.733, 85.9823}, {136.483, 85.868}, {137.231,
85.747}, {137.979, 85.6196}, {138.726, 85.4856}, {139.471,
85.3451}, {140.215, 85.1981}, {140.958, 85.0447}, {141.7,
84.8847}, {142.44, 84.7183}, {143.178, 84.5454}, {143.915,
84.3661}, {144.651, 84.1804}, {145.384, 83.9883}, {146.116,
83.7897}, {146.847, 83.5848}, {147.575, 83.3735}, {148.302,
83.1559}, {149.027, 82.9319}, {149.749, 82.7016}, {150.47,
82.4651}, {151.189, 82.2222}, {151.905, 81.9731}, {152.619,
81.7177}, {153.331, 81.4561}, {154.041, 81.1884}, {154.748,
80.9144}, {155.453, 80.6343}, {156.156, 80.348}, {156.855,
80.0556}, {157.553, 79.7571}, {158.247, 79.4525}, {158.939,
79.1419}, {159.629, 78.8253}, {160.315, 78.5026}, {160.999,
78.174}, {161.68, 77.8394}, {162.357, 77.4989}, {163.032,
77.1525}, {163.704, 76.8003}, {164.373, 76.4421}, {165.038,
76.0782}, {165.7, 75.7084}, {166.359, 75.3329}, {167.015,
74.9517}, {167.668, 74.5647}, {168.317, 74.1721}, {168.962,
73.7738}, {169.604, 73.3699}, {170.243, 72.9604}, {170.877,
72.5454}, {171.509, 72.1248}, {172.136, 71.6988}, {172.76,
71.2672}, {173.38, 70.8303}, {173.996, 70.388}, {174.609,
69.9402}, {175.217, 69.4872}, {175.821, 69.0289}, {176.422,
68.5653}, {177.018, 68.0965}, {177.61, 67.6225}, {178.198,
67.1434}, {178.782, 66.6592}, {179.362, 66.1698}, {179.937,
65.6755}, {180.508, 65.1761}, {181.074, 64.6718}, {181.637,
64.1625}, {182.194, 63.6484}, {182.747, 63.1294}, {183.296,
62.6056}, {183.84, 62.0771}, {184.38, 61.5438}, {184.914,
61.0058}, {185.444, 60.4632}, {185.97, 59.916}, {186.49,
59.3642}, {187.006, 58.8079}, {187.516, 58.2471}, {188.022,
57.6819}, {188.523, 57.1122}, {189.019, 56.5383}, {189.51,
55.96}, {189.996, 55.3775}, {190.476, 54.7907}, {190.952,
54.1998}, {191.422, 53.6048}, {191.888, 53.0056}, {192.347,
52.4025}, {192.802, 51.7953}, {193.251, 51.1842}}
I plotted these point in Mathematica.
And after checked and zoom in, I get "abnormality point"as shown below
How to make logic (loop) for detecting this"abnormality point" and remove it from data points? so that the curve will be smooth.