{ "query": { "display": "range $$-2,\\:-1,\\:0,\\:2,\\:3$$", "symbolab_question": "STATISTICS#range -2,-1,0,2,3" }, "solution": { "level": "PERFORMED", "subject": "Statistics", "topic": "range", "subTopic": "Other", "default": "5" }, "steps": { "type": "interim", "title": "Data Range of $$-2,\\:-1,\\:0,\\:2,\\:3:{\\quad}5$$", "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 $$-2,\\:-1,\\:0,\\:2,\\:3:{\\quad}-2$$", "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": "-2,\\:-1,\\:0,\\:2,\\:3" }, { "type": "step", "primary": "Take the smallest element of the ascending data set", "result": "-2" } ], "meta": { "interimType": "Minimum Top 1Eq" } }, { "type": "interim", "title": "Maximum element of $$-2,\\:-1,\\:0,\\:2,\\:3:{\\quad}3$$", "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": "-2,\\:-1,\\:0,\\:2,\\:3" }, { "type": "step", "primary": "Take the biggest element of the ascending data set", "result": "3" } ], "meta": { "interimType": "Maximum Top 1Eq" } }, { "type": "interim", "title": "Compute the difference between $$3$$ and $$-2:{\\quad}5$$", "steps": [ { "type": "step", "primary": "Subtract $$-2$$ from $$3$$", "result": "=3-\\left(-2\\right)" }, { "type": "step", "primary": "Simplify", "result": "=5" } ], "meta": { "interimType": "Compute Difference Two Inputs Title 2Eq" } }, { "type": "step", "result": "5" } ] } }