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歡迎您訪問數學考題練習:10名同學分成甲、乙兩隊進行籃球比賽,它們的身!

數學考題練習:10名同學分成甲、乙兩隊進行籃球比賽,它們的身

更新時間:2024-01-12 16:26:25作者:貝語網校

10名同學分成甲、乙兩隊進行籃球比賽,它們的身高(單位:cm)如下表所示:

甲隊177176175172175
乙對170175173174183
則兩隊隊員身高的平均數==175,則方差S2________S2(填“>”“<”或“=”).

試題答案

試題解析

首先求出平均數再進行比較,然后根據再根據方差的公式計算.

解答:由于S2=[(177-175)2+(176-175)2+(175-175)2+(172-175)2+(175-175)2],

=2.8.

S2=[(170-175)2+(175-175)2+(173-175)2+(174-175)2+(183-175)2],

=18.8,

∵S2<S2

故答案為:<.

點評:本題考查方差的意義.方差是用來衡量一組數據波動大小的量,方差越大,表明這組數據偏離平均數越大,即波動越大,數據越不穩定;反之,方差越小,表明這組數據分布比較集中,各數據偏離平均數越小,即波動越小,數據越穩定.

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