有六個數(shù)排成一行,它們的平均數(shù)是65,前四個數(shù)的平均數(shù)是55,后三個數(shù)的平均數(shù)是80,第四個數(shù)是________.
70
分析:根據(jù)“六個數(shù)的平均數(shù)是65,”求出六個數(shù)的和;再根據(jù)“前四個數(shù)的平均數(shù)是55,”求出前四個數(shù)的和;再由“后三個數(shù)的平均數(shù)是80,”求出后三個數(shù)的和;把前四個數(shù)的和與后三個數(shù)的和加起來再減去六個數(shù)的和就是第四個數(shù).
解答:55×4+80×3-65×6,
=220+240-390,
=460-390,
=70,
故答案為:70.
點評:解答此題的關(guān)鍵是,前四個數(shù)的和與后三個數(shù)的和加起來就是7個數(shù)的和,是因為第四個數(shù)加了兩次,所以再減去六個數(shù)的和就是第四個數(shù).