range of 138,130,135,140,120,125,120,130,130,144,143,140,130,150

{ "query": { "display": "range $$138,\\:130,\\:135,\\:140,\\:120,\\:125,\\:120,\\:130,\\:130,\\:144,\\:143,\\:140,\\:130,\\:150$$", "symbolab_question": "STATISTICS#range 138,130,135,140,120,125,120,130,130,144,143,140,130,150" }, "solution": { "level": "PERFORMED", "subject": "Statistics", "topic": "range", "subTopic": "Other", "default": "30" }, "steps": { "type": "interim", "title": "Data Range of $$138,\\:130,\\:135,\\:140,\\:120,\\:125,\\:120,\\:130,\\:130,\\:144,\\:143,\\:140,\\:130,\\:150:{\\quad}30$$", "steps": [ { "type": "definition", "title": "Range of data", "text": "The range of the data is the difference between the maximum and the minimum of the data set" }, { "type": "interim", "title": "Minimum element of $$138,\\:130,\\:135,\\:140,\\:120,\\:125,\\:120,\\:130,\\:130,\\:144,\\:143,\\:140,\\:130,\\:150:{\\quad}120$$", "steps": [ { "type": "definition", "title": "Minimum of a set", "text": "The minimum of a data set is the smallest term of that set.<br/>In order to find the minimum, it is easiest to first sort the set" }, { "type": "step", "primary": "Arrange the terms in ascending order", "result": "120,\\:120,\\:125,\\:130,\\:130,\\:130,\\:130,\\:135,\\:138,\\:140,\\:140,\\:143,\\:144,\\:150" }, { "type": "step", "primary": "Take the smallest element of the ascending data set", "result": "120" } ], "meta": { "interimType": "Minimum Top 1Eq" } }, { "type": "interim", "title": "Maximum element of $$138,\\:130,\\:135,\\:140,\\:120,\\:125,\\:120,\\:130,\\:130,\\:144,\\:143,\\:140,\\:130,\\:150:{\\quad}150$$", "steps": [ { "type": "definition", "title": "Maximum of a set", "text": "The maximum of a data set is the biggest term of that set.<br/>In order to find the maximum it is easiest to first sort the set" }, { "type": "step", "primary": "Arrange the terms in ascending order", "result": "120,\\:120,\\:125,\\:130,\\:130,\\:130,\\:130,\\:135,\\:138,\\:140,\\:140,\\:143,\\:144,\\:150" }, { "type": "step", "primary": "Take the biggest element of the ascending data set", "result": "150" } ], "meta": { "interimType": "Maximum Top 1Eq" } }, { "type": "interim", "title": "Compute the difference between $$150$$ and $$120:{\\quad}30$$", "steps": [ { "type": "step", "primary": "Subtract $$120$$ from $$150$$", "result": "=150-120" }, { "type": "step", "primary": "Simplify", "result": "=30" } ], "meta": { "interimType": "Compute Difference Two Inputs Title 2Eq" } }, { "type": "step", "result": "30" } ] } }