ÔN TẬP: CÁC SỐ ĐẶC TRƯNG ĐO MỨC ĐỘ PHÂN TÁN CỦA MẪU SỐ LIỆU GHÉP NHÓM (trung bình 2)

Home Lớp 12 Toán lớp 12 - Sách Kết nối tri thức Bài tập cuối chương 3. CÁC SỐ ĐẶC TRƯNG ĐO MỨC ĐỘ PHÂN TÁN CỦA MẪU SỐ LIỆU GHÉP NHÓM.Bài tập trung bình

{"common":{"save":0,"post_id":"7856","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5841","post_id":"7856","mon_id":"1159285","chapter_id":"1159394","question":"Cô Hà th\u1ed1ng kê l\u1ea1i \u0111\u01b0\u1eddng kính thân g\u1ed7 c\u1ee7a m\u1ed9t s\u1ed1 cây xoan \u0111ào 6 n\u0103m tu\u1ed5i \u0111\u01b0\u1ee3c tr\u1ed3ng \u1edf m\u1ed9t lâm tr\u01b0\u1eddng \u1edf b\u1ea3ng sau.<\/p><svg height=\"210\" width=\"260\"> <g><title><\/title><rect fill=\"#fff\" height=\"212\" id=\"canvas_background\" width=\"262\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_17\"> <rect fill=\"#ffaa56\" height=\"40\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"255\" x=\"2.31818\" y=\"1.52272\"><\/rect> <rect fill=\"#aad4ff\" height=\"165.99999\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"255\" x=\"2.31818\" y=\"41.52273\"><\/rect> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"182.31817\" x2=\"182.31817\" y1=\"1.52272\" y2=\"207.52272\"><\/line> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"185.31817\" xml:space=\"preserve\" y=\"29.52272\">T\u1ea7n s\u1ed1<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(0.954459547996521,0,0,1,0.28773227742141216,0) \" x=\"9.46131\" xml:space=\"preserve\" y=\"29.52272\">\u0110\u01b0\u1eddng kính (cm)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"59.31817\" xml:space=\"preserve\" y=\"65\">[40; 45)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"59.31817\" xml:space=\"preserve\" y=\"95\">[45; 50)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"59.31817\" xml:space=\"preserve\" y=\"125\">[50; 55)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"59.31817\" xml:space=\"preserve\" y=\"155\">[55; 60)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"59.31817\" xml:space=\"preserve\" y=\"185\">[60; 65)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"213.31817\" xml:space=\"preserve\" y=\"65\">5<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"207.31817\" xml:space=\"preserve\" y=\"95\">20<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"207.31817\" xml:space=\"preserve\" y=\"125\">18<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"213.31817\" xml:space=\"preserve\" y=\"155\">7<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"213.31817\" xml:space=\"preserve\" y=\"185\">3<\/text> <\/g> <\/g> <\/svg><\/span><\/p>Hãy tìm kho\u1ea3ng bi\u1ebfn thiên c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u ghép nhóm trên.<\/p>","options":["A.<\/strong> 30","B.<\/strong> 6","C.<\/strong> 25","D.<\/strong> 69,8"],"correct":"3","level":"2","hint":"S\u1eed d\u1ee5ng \u0111\u1ecbnh ngh\u0129a kho\u1ea3ng bi\u1ebfn thiên.<\/p>","answer":"Ch\u1ecdn C.<\/strong> 25<\/span><\/p>Kho\u1ea3ng bi\u1ebfn thiên c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u ghép nhóm trên là 65 – 40 = 25 (cm).<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 02:51:24","option_type":"txt","len":0},{"id":"5843","post_id":"7856","mon_id":"1159285","chapter_id":"1159394","question":"Cho m\u1eabu s\u1ed1 li\u1ec7u ghép nhóm có t\u1ee9 phân v\u1ecb th\u1ee9 nh\u1ea5t, th\u1ee9 hai, th\u1ee9 ba l\u1ea7n l\u01b0\u1ee3t là $Q_1;Q_2;Q_3$<\/span>. Kho\u1ea3ng t\u1ee9 phân v\u1ecb c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u ghép nhóm \u0111ó b\u1eb1ng:<\/p>","options":["A.<\/strong> $Q_3+Q_1-Q_2$<\/span>","B.<\/strong> $Q_1-Q_3$<\/span>","C.<\/strong> $2Q_2$<\/span>","D.<\/strong> $Q_3-Q_1$<\/span>"],"correct":"4","level":"2","hint":"S\u1eed d\u1ee5ng \u0111\u1ecbnh ngh\u0129a kho\u1ea3ng t\u1ee9 phân v\u1ecb.<\/p>","answer":"Ch\u1ecdn D.<\/strong> $Q_3-Q_1$<\/span><\/span><\/p>Kho\u1ea3ng t\u1ee9 phân v\u1ecb c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u ghép nhóm \u0111ó b\u1eb1ng: $Q_3-Q_1$<\/span><\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 02:53:25","option_type":"math","len":0},{"id":"5845","post_id":"7856","mon_id":"1159285","chapter_id":"1159394","question":"Doanh thu bán hàng trong 20 ngày \u0111\u01b0\u1ee3c l\u1ef1a ch\u1ecdn ng\u1eabu nhiên c\u1ee7a m\u1ed9t c\u1eeda hàng \u0111\u01b0\u1ee3c ghi l\u1ea1i \u1edf b\u1ea3ng sau (\u0111\u01a1n v\u1ecb: tri\u1ec7u \u0111\u1ed3ng):<\/p><svg height=\"200\" width=\"230\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"202\" id=\"canvas_background\" width=\"232\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_18\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <rect fill=\"#aad4ff\" height=\"37\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"225\" x=\"1.31817\" y=\"0.97727\"><\/rect> <rect fill=\"#aaffaa\" height=\"157.99998\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"225\" x=\"1.31817\" y=\"37.97726\"><\/rect> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"128.31817\" x2=\"128\" y1=\"0.97727\" y2=\"195.97727\"><\/line> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"7.31817\" xml:space=\"preserve\" y=\"26.97727\">Doanh thu<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"139.31817\" xml:space=\"preserve\" y=\"26.97727\">S\u1ed1 ngày<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"28.31817\" xml:space=\"preserve\" y=\"64.97727\">[5; 7)<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"28.31817\" xml:space=\"preserve\" y=\"95\">[7; 9)<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"28.31817\" xml:space=\"preserve\" y=\"125\">[9; 11)<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"28.31817\" xml:space=\"preserve\" y=\"155\">[11; 13)<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"28.31817\" xml:space=\"preserve\" y=\"185\">[13; 15)<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.31817\" xml:space=\"preserve\" y=\"64.97727\">2<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.31817\" xml:space=\"preserve\" y=\"95\">7<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.31817\" xml:space=\"preserve\" y=\"125\">7<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.31817\" xml:space=\"preserve\" y=\"155\">3<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"170.31817\" xml:space=\"preserve\" y=\"185\">1<\/text> <\/g> <\/svg><\/span><\/p>T\u1ee9 phân v\u1ecb th\u1ee9 nh\u1ea5t c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u trên g\u1ea7n nh\u1ea5t v\u1edbi giá tr\u1ecb nào trong các giá tr\u1ecb sau?<\/p>","options":["A.<\/strong> 7","B.<\/strong> 7,6","C.<\/strong> 8","D.<\/strong> 8,6"],"correct":"3","level":"2","hint":"S\u1eed d\u1ee5ng công th\u1ee9c tính t\u1ee9 phân v\u1ecb th\u1ee9 nh\u1ea5t.<\/p>","answer":"Ch\u1ecdn C.<\/strong> 8<\/span><\/p>T\u1ee9 phân v\u1ecb th\u1ee9 nh\u1ea5t c\u1ee7a dãy s\u1ed1 li\u1ec7u là $\\dfrac{1}{2}(x_4+x_5)$<\/span> thu\u1ed9c nhóm [7; 9) nên t\u1ee9 phân v\u1ecb th\u1ee9 nh\u1ea5t c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u là<\/p>$Q_1=7+\\dfrac{20:4-2}{7}(9-7)=7,86$<\/span><\/p>","type":"choose","extra_type":"shape2","user_id":"131","test":"0","date":"2024-10-18 03:02:35","option_type":"txt","len":0}]}