内容正文:
3.4 方差
九年级(上册)
初中数学
3.4 方差
生活数学
A厂:40.0,39.9,40.0,40.1,40.2,
39.8,40.0,39.9,40.0,40.1;
你能从哪些角度认识这些数据?
乒乓球的标准直径为40mm.质检部门对A、B两厂
生产的乒乓球的直径进行检测,从A、B两厂生产的乒
乓球中各抽取了10只,测量结果如下(单位:mm):
B厂:40.0,40.2,39.8,40.1,39.9,
40.1,39.9,40.2,39.8,40.0.
3.4 方差
问题
A厂:40.0,39.9,40.0,40.1,40.2,
39.8,40.0,39.9,40.0,40.1;
B厂:40.0,40.2,39.8,40.1,39.9,
40.1,39.9,40.2,39.8,40.0.
极差=最大值-最小值.
怎样更精确地比较这两组数据的离散程度呢?
极差在一定程度上描述了一组数据的离散(波动)
程度.
3.4 方差
A厂
B厂
直径/mm
直径/mm
怎样用数量来描述这两组数据的离散程度呢?
A厂:40.0,39.9,40.0,40.1,40.2,
39.8,40.0,39.9,40.0,40.1;
B厂:40.0,40.2,39.8,40.1,39.9,
40.1,39.9,40.2,39.8,40.0.
40.3
40.2
39.7
40.1
40.0
39.9
39.8
40.3
40.2
39.7
40.1
40.0
39.9
39.8
3.4 方差
A厂
0 -0.1 0 0.1 0.2 -0.2 0 -0.1 0 0.1
0 0.2 -0.2 0.1 -0.1 0.1 -0.1 0.2 -0.2 0
B厂
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10
数据 40.0 39.9 40.0 40.1 40.2 39.8 40.0 39.9 40.0 40.1
与平均数的差
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10
数据 40.0 40.2 39.8 40.1 39.9 40.1