"in error" meaning in English

{
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "prepositional phrase",
        "head": ""
      },
      "expansion": "in error",
      "name": "head"
    },
    {
      "args": {},
      "expansion": "in error",
      "name": "en-PP"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "prep_phrase",
  "senses": [
    {
      "categories": [
        {
          "_dis": "95 5",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "95 5",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "96 4",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "The cheque was sent in error.",
          "type": "example"
        }
      ],
      "glosses": [
        "By mistake"
      ],
      "id": "en-in_error-en-prep_phrase-hSFdizZY",
      "links": [
        [
          "By mistake",
          "by mistake"
        ]
      ],
      "related": [
        {
          "_dis1": "100 0",
          "word": "error"
        }
      ],
      "synonyms": [
        {
          "_dis1": "100 0",
          "word": "erroneous"
        },
        {
          "_dis1": "100 0",
          "word": "erroneously"
        }
      ]
    },
    {
      "categories": [],
      "examples": [
        {
          "text": "You are in error in your conclusions.",
          "type": "example"
        }
      ],
      "glosses": [
        "Mistaken"
      ],
      "id": "en-in_error-en-prep_phrase-nzNFJX5A",
      "links": [
        [
          "Mistaken",
          "mistaken"
        ]
      ]
    }
  ],
  "word": "in error"
}

{
  "categories": [
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English prepositional phrases",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "prepositional phrase",
        "head": ""
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      "expansion": "in error",
      "name": "head"
    },
    {
      "args": {},
      "expansion": "in error",
      "name": "en-PP"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "prep_phrase",
  "related": [
    {
      "word": "error"
    }
  ],
  "senses": [
    {
      "categories": [
        "English terms with usage examples"
      ],
      "examples": [
        {
          "text": "The cheque was sent in error.",
          "type": "example"
        }
      ],
      "glosses": [
        "By mistake"
      ],
      "links": [
        [
          "By mistake",
          "by mistake"
        ]
      ]
    },
    {
      "categories": [
        "English terms with usage examples"
      ],
      "examples": [
        {
          "text": "You are in error in your conclusions.",
          "type": "example"
        }
      ],
      "glosses": [
        "Mistaken"
      ],
      "links": [
        [
          "Mistaken",
          "mistaken"
        ]
      ]
    }
  ],
  "synonyms": [
    {
      "word": "erroneous"
    },
    {
      "word": "erroneously"
    }
  ],
  "word": "in error"
}