Question

在自动精密旋床的加工过程中,任抽取200个轴,测得轴的直径与规定尺寸偏差统计如下表:

偏差	频数	频率	累积频率
(20,-15]	7
(-15,-5]	11
(-10,-5]	15
(-5,0]	24
(0,5]	49
(5,10]	41
(10,15]	26
(15,20]	17
(20,25]	7
(25,30]	3
合  计	200

(1)完成表格;

(2)画出频率分布直方图和累积频率分布图;

(3)求出偏差在(-10,15]之间的概率.

Answer 1

(1)

偏差	频数	频率	累积频率
(20,-15]	7	0.035	0.035
(-15,-5]	11	0.055	0.09
(-10,-5]	15	0.075	0.165
(-5,0]	24	0.12	0.285
(0,5]	49	0.245	0.53
(5,10]	41	0.205	0.735
(10,15]	26	0.13	0.865
(15,20]	17	0.085	0.95
(20,25]	7	0.035	0.985
(25,30]	3	0.015	1
合  计	200	1

(2)频率分布直方图和累积频率分布图如下:

(3)0.775.