已知一組數(shù)據(jù)為3,12,4,x,9,5,6,7,8的平均數(shù)7,則這組數(shù)據(jù)的中位數(shù)是 .
【答案】分析:首先根據(jù)平均數(shù)的求法求出x,再根據(jù)中位數(shù)定義把數(shù)據(jù)從小到大排列起來,再找出中間的數(shù)即可.
解答:解:∵3,12,4,x,9,5,6,7,8的平均數(shù)7,
∴(3+12+4+x+9+5+6+7+8)÷9=7,
解得:x=9,
將數(shù)據(jù)從小到大重新排列:3,4,5,6,7,8,9,9,12,
最中間的那個數(shù)是:7,
則中位數(shù)是:7.
故答案為:7.
點評:此題考查了中位數(shù),解題的關鍵是掌握中位數(shù)的定義即中位數(shù)是將一組數(shù)據(jù)從小到大(或從大到。┲匦屡帕泻,最中間的那個數(shù)(最中間兩個數(shù)的平均數(shù)),叫做這組數(shù)據(jù)的中位數(shù).