60. 解:(1)平均分:87.5分; 眾數(shù):90分; 中位數(shù):90分
(2) 七(7)的分數(shù)為100分,所以七(7)班為優(yōu)勝班級.
共50人,從中選出5名,選中的概率為![]()
59. 解:(1)
(名)················································································· 2分
答:在這次調(diào)查中,一共抽取了50名學生.
(2)
(名)·················································································· 1分
補全圖形(略)············································································································· 1分
(3)在抽取的學生中,最喜歡滇金絲猴的人數(shù)占被抽取人數(shù)的百分比為![]()
····································································································································· 1分
由樣本估計總體得全校最喜歡滇金線猴的學生約有
(名)·················· 1分
答:估計全校最喜歡滇金絲猴的學生約有288名.
58. 解:(1) ①10 ②100.5 ③25 ④1 (2) 25 100
57. (1)一般20%.200×(25%+50%)=150(人).
故200名學生中對安全知識了解“較好”、“很好”的總?cè)藬?shù)為150人.
(2)樣本頻數(shù)的條形統(tǒng)計圖如圖(2).
![]()
(3)從以上信息可看出,全校約有25%的學生對安全知識了解處在“一般”、“較差”層次,說明學校應大力加強安全知識教育,將安全工作落到實處.
0.3×200=60
∴在這一時噪聲聲級小于75dB的測量點約有60個.…………………………………9分
56.解:(1)a=8,b=12,c=0.3.(每對一個給1分)…………………………………………3分
(2)略 (畫對一個直方圖給1分)…………………………………………………5分
(3)算出樣本中噪聲聲級小于75dB的測量點的頻率是0.3…………………………7分
55. 解:(1)
;
(2)補畫的直方圖如圖:
(3)41號跑步鞋的銷售頻率為30%,所以商場計劃再進1000雙跑步鞋時,41號鞋應進300雙左右.
54. (1)根據(jù)第一組的頻數(shù)為15,頻率為0.30,
所以這次被抽查的學生人數(shù)是
(人)
第三組的頻率為![]()
分數(shù)在79.5~89.5之間的人數(shù)為50―15―10―18―3=4人.
頻率為
.
因此第二列從上至下 兩空分別填4、50;第三列從上至下兩空分別填0.36、0.08.
(2)總體是300名學生的中考數(shù)學成績.
樣本容量為50.
(3)∵∠DOE=∠AOF,∠E=∠AFO=90°,DE=AF,
∴△DOE≌△AOF.
∴S梯形ABCD=S矩形ABGF+ S矩形CDEG=0.08+0.36=0.44.
(4)本題有多個結(jié)論,例如,300名初中畢業(yè)年級學生數(shù)學分數(shù)在89.5~99.5的人數(shù)最多,約為108人;
或300名初中畢業(yè)年級學生數(shù)學分數(shù)在69.5~79.5的人數(shù)最少,約為18人.
53. 解:(1)500
=1000(名)
(2)3600
=1260
(3)補充正確即可,(1000×15%=150名)
52. 解:(1)略 ·········································································································· 3分
(2)略············································································································· 5分
(3)
(人)······································································· 6分
的頻率為
,大于A、C、D的頻率,故這名學生評為B等的可能性最大. 8分
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