为了让万州区义务教育阶段学生更加深入地了解新型冠状肺炎,从而增强学生的自我防护意识,万州区教委组织了一次新型冠状肺炎相关防疫知识竞赛,通过学校选拔和推荐,对进入此次决赛的小学组和初中组各20名学生的成绩进行了整理和分析,给出了部分信息如下:
小学组学生决赛成绩统计如下: (满分: 100 分)表1
67 | 89 | 88 | 65 | 75 | 76 | 80 | 85 | 88 | 92 |
98 | 100 | 66 | 73 | 86 | 86 | 87 | 95 | 86 | 78 |
初中组学生决赛成绩统计如下: (满分: 100分)表 2
76 | 83 | 89 | 68 | 68 | 95 | 83 | 86 | 86 | 67 |
77 | 86 | 90 | 84 | 68 | 100 | 86 | 73 | 93 | 86 |
整理数据:(用
表示学生决赛成绩)表3
| ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E60%3C%2Fmn%3E%3Cmo%3E%E2%89%A4%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26lt%3B%3C%2Fmo%3E%3Cmn%3E70%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E70%3C%2Fmn%3E%3Cmo%3E%E2%89%A4%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26lt%3B%3C%2Fmo%3E%3Cmn%3E80%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E80%3C%2Fmn%3E%3Cmo%3E%E2%89%A4%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26lt%3B%3C%2Fmo%3E%3Cmn%3E90%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | 分及以上 |
小学组学生决赛成绩 | 3 | 4 | 9 | 4 |
初中组学生决赛成绩 | 4 | 3 | 9 | 4 |
分析数据:两组样本数据的平均数、中位数、众数如表所示:表4
| 平均数 | 中位数 | 众数 | 优秀率(80分及以上) |
小学组学生决赛成绩 | 83 | 86 | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Eb%3C%2Fmi%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E65%3C%2Fmn%3E%3Cmi%3E%25%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E) |
初中组学生决赛成绩 | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E82.2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E86%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E65%3C%2Fmn%3E%3Cmi%3E%25%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E) |