题目列表(包括答案和解析)
6、某班50名学生身高测量结果如下表:
|
身高 | 1.51 | 1.52 | 1.53 | 1.54 | 1.55 | 1.56 | 1.57 | 1.58 | 1.59 | 1.60 | 1.64 |
人数 | 1 | 1 | 3 | 4 | 3 | 4 | 4 | 6 | 8 | 10 | 6 |
A.1.60,1.56 | B.1.59,1.58 | C.1.60,1.58 | D.1.60,1.60 |
某班45名学生的体重记录如下(单位:kg):
48 48 42 50 61 44 43 51 46 46
51 46 50 45 52 54 51 57 55 48
49 48 53 48 56 55 57 42 54 49
47 60 51 51 44 41 49 53 52 49
61 58 52 54 50
(1)计算45名学生的平均体重和标准差;
(2)分别选取6名、15名、30名学生体重的一个样本,计算这三个样本的平均数和标准差,最后用总体的平均数和标准差与它们作比较.你认为随机抽样的方法可靠吗?样本较大时样本的估计值与总体是否更接近?
某年级300名同学的体重如下(单位:kg):
49, |
48, |
43, |
52, |
62, |
74, |
43, |
51, |
46, |
47, |
51, |
45, |
50, |
46, |
52, |
54, |
50, |
58, |
55, |
58, |
48, |
48, |
53, |
49, |
56, |
55, |
56, |
43, |
54, |
68, |
47, |
61, |
51, |
44, |
41, |
49, |
53, |
52, |
49, |
52, |
62, |
58, |
52, |
54, |
50, |
47, |
66, |
46, |
47, |
44, |
72, |
55, |
43, |
60, |
51, |
41, |
48, |
49, |
43, |
52, |
63, |
44, |
41, |
47, |
48, |
49, |
55, |
53, |
58, |
50, |
50, |
43, |
60, |
61, |
52, |
50, |
42, |
44, |
46, |
67, |
47, |
66, |
46, |
47, |
69, |
48, |
43, |
50, |
50, |
43, |
46, |
47, |
44, |
42, |
55, |
56, |
55, |
56, |
43, |
54, |
49, |
56, |
55, |
56, |
65, |
43, |
60, |
51, |
41, |
48, |
43, |
52, |
62, |
46, |
52, |
54, |
50, |
58, |
58, |
52, |
49, |
48, |
43, |
50, |
50, |
47, |
44, |
42, |
55, |
63, |
60, |
48, |
43, |
50, |
50, |
43, |
49, |
53, |
52, |
49, |
48, |
43, |
50, |
50, |
47, |
44, |
49, |
48, |
43, |
44, |
42, |
55, |
43, |
42, |
64, |
46, |
47, |
48, |
43, |
50, |
44, |
41, |
47, |
48, |
49, |
55, |
53, |
58, |
55, |
73, |
60, |
51, |
41, |
53, |
49, |
56, |
55, |
56, |
43, |
54, |
44, |
41, |
47, |
48, |
49, |
55, |
41, |
48, |
43, |
42, |
44, |
46, |
47, |
42, |
55, |
43, |
60, |
68, |
43, |
50, |
48, |
43, |
52, |
62, |
43, |
51, |
46, |
47, |
51, |
45, |
49, |
46, |
72, |
54, |
50, |
58, |
47, |
61, |
51, |
44, |
41, |
44, |
41, |
49, |
73, |
52, |
49, |
52, |
49, |
56, |
55, |
56, |
43, |
54, |
48, |
47, |
61, |
50, |
50, |
43, |
46, |
47, |
44, |
42, |
48, |
43, |
52, |
62, |
55, |
41, |
48, |
43, |
42, |
44, |
46, |
47, |
43, |
46, |
67, |
44, |
42, |
44, |
41, |
47, |
48, |
49, |
55, |
53, |
72, |
54, |
50, |
58, |
55, |
58, |
49, |
48, |
43, |
52, |
53, |
54, |
48, |
47, |
61, |
51, |
44, |
4l, |
49, |
53, |
72, |
49, |
52, |
47, |
66, |
46, |
47, |
49, |
48, |
43, |
50, |
49. |
(1)请用计算器或计算机计算总体的平均数、方差和标准差(精确到0.01),并绘制总体的频数分布直方图;
(2)请用简单随机抽样方法,从上述调查的数据中分别抽取样本容量为10的两个样本,并分别计算这两个样本的平均数、方差和标准差,分别绘制这两个样本的频数分布直方图,结果一致吗?如果分别抽取样本容量为20、50的两个样本呢?
(3)通过以上的抽样和计算,你有什么发现?并与同伴交流.
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