median of 9,8,21,8,6,10,9,7,10,7,7

{ "query": { "display": "median $$9,\\:8,\\:21,\\:8,\\:6,\\:10,\\:9,\\:7,\\:10,\\:7,\\:7$$", "symbolab_question": "STATISTICS#median 9,8,21,8,6,10,9,7,10,7,7" }, "solution": { "level": "PERFORMED", "subject": "Statistics", "topic": "median", "subTopic": "Other", "default": "8" }, "steps": { "type": "interim", "title": "Median of $$9,\\:8,\\:21,\\:8,\\:6,\\:10,\\:9,\\:7,\\:10,\\:7,\\:7:{\\quad}8$$", "steps": [ { "type": "definition", "title": "Median", "text": "The median is the value separating the higher half of the data set, from the lower half.<br/>If the number of terms is odd, then the median is the middle element of the sorted set<br/>If the number of terms is even, then the median is the arithmetic mean of the two middle elements of the sorted set" }, { "type": "step", "primary": "Arrange the terms in ascending order", "result": "6,\\:7,\\:7,\\:7,\\:8,\\:8,\\:9,\\:9,\\:10,\\:10,\\:21" }, { "type": "interim", "title": "Find the median of the ascending set:$${\\quad}8$$", "steps": [ { "type": "step", "primary": "Count the number of terms in the data set", "result": "\\begin{Bmatrix}6&7&7&7&8&8&9&9&10&10&21\\\\1&2&3&4&5&6&7&8&9&10&11\\end{Bmatrix}" }, { "type": "step", "primary": "The number of terms in the data set is", "result": "11" }, { "type": "step", "primary": "Since the number of terms is odd, the median is the middle element of the sorted set.", "result": "8" } ], "meta": { "interimType": "Get Median From Ascending List 0Eq" } }, { "type": "step", "result": "8" } ] } }