{ "query": { "display": "range $$12,\\:6,\\:7,\\:3,\\:10$$", "symbolab_question": "STATISTICS#range 12,6,7,3,10" }, "solution": { "level": "PERFORMED", "subject": "Statistics", "topic": "range", "subTopic": "Other", "default": "9" }, "steps": { "type": "interim", "title": "Data Range of $$12,\\:6,\\:7,\\:3,\\:10:{\\quad}9$$", "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 $$12,\\:6,\\:7,\\:3,\\:10:{\\quad}3$$", "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": "3,\\:6,\\:7,\\:10,\\:12" }, { "type": "step", "primary": "Take the smallest element of the ascending data set", "result": "3" } ], "meta": { "interimType": "Minimum Top 1Eq" } }, { "type": "interim", "title": "Maximum element of $$12,\\:6,\\:7,\\:3,\\:10:{\\quad}12$$", "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": "3,\\:6,\\:7,\\:10,\\:12" }, { "type": "step", "primary": "Take the biggest element of the ascending data set", "result": "12" } ], "meta": { "interimType": "Maximum Top 1Eq" } }, { "type": "interim", "title": "Compute the difference between $$12$$ and $$3:{\\quad}9$$", "steps": [ { "type": "step", "primary": "Subtract $$3$$ from $$12$$", "result": "=12-3" }, { "type": "step", "primary": "Simplify", "result": "=9" } ], "meta": { "interimType": "Compute Difference Two Inputs Title 2Eq" } }, { "type": "step", "result": "9" } ] } }