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Toán 10, 𓃲giải toán lớp 10 kết nối tri thức với cuộc sống

Giải bài 5.26 trang 90 SGK Toán 10 – Kết nối tri thức

Tỉ lệ trẻ em suy dinh dưỡng (tính theo cân nặng ứng với độ tuổi) của 10 tỉnh thuộc Đồng bằng sông Hồng được cho như sau: 5,5 13,8 10,2 12,2 11,0 7,4 11,4 13,1 12,5 13,4 (Theo Tổng cục Thống kê) a) Tính số trung bình, trung vị, khoảng biến thiên và độ lệch chuẩn của mẫu số liệu trên. b) Thực hiện làm tròn đến hàng đơn vị cho các giá trị trong mẫu số liệu. Sai số tuyệt đối của phép làm tròn này không vượt qua bao nhiêu?

Tổng hợp đề thi học kì 2 lớp 10 tất cả các m🐼ôn 🌜- Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...

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Đề bài

Phương pháp giải - Xem chi tiết

a) - Sắp xếp lại mẫu số liệu theo thứ tự không giảm. - Áp dụng công thức số trung bình của mẫu số liệu \({x_1},{x_2},...,{x_n}\): \(\overline X = \frac{{{x_1} + {x_2} + ... + {x_n}}}{n}\) - Số trung vị + Sắp xếp lại số liệu theo thứ tự không giảm. + Nếu số giá trị của mẫu số liệu là số lẻ thì giá trị chính giữa của mẫu là trung vị. Nếu là số chẵn thì trung vị là trung bình cộng của hai giá trị chính giữa của mẫu. Khoảng biến thiên R = Số lớn nhất – Số nhỏ nhất Phương sai \({s^2} = \frac{{{{\left( {{x_1} - \overline x} \right)}^2} + {{\left( {{x_2} - \overline x} \right)}^2} + ... + {{\left( {{x_n} - \overline x} \right)}^2}}}{n}\) Độ lệch chuẩn: \(s = \sqrt {{s^2}} \) b) Làm tròn và tìm tìm độ chính xác d.

Lời giải chi tiết

a)Sắp xếp:5,5 7,4 10,2 11,0 11,4 12,2 12,5 13,1 13,4 13,8n=10Số trung bình: \(\overline X = 11,05\)Trung vị: 11,8Khoảng biến thiên: R=13,8-5,5=8,3

Giá trị	Độ lệch	Bình phương độ lệch
5,5	5,55	30,8025
7,4	3,65	13,3225
10,2	0,85	0,7225
11,0	0,05	0,0025
11,4	-0,35	0,1225
12,2	-1,15	1,3225
12,5	-1,45	2,1025
13,1	-2,05	4,2025
13,4	-2,35	5,5225
13,8	-2,75	7,5625
Tổng		65,6850

Độ lệch chuẩn: 8,1b) Làm trò các số liệu trong mẫu:

Giá trị	Làm tròn	Sai số
5,5	6	0,5
7,4	7	0,4
10,2	10	0,2
11,0	11	0
11,4	11	0,4
12,2	12	0,2
12,5	13	0,5
13,1	13	0,1
13,4	13	0,4
13,8	14	0,2

Sai số tuyệt đối của các phép làm tròn không vượt quá 0,5.

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4 trên 9 phiếu

Giải bài 5.25 trang 90 SGK Toán 10 – Kết nối tri thức 😼 Hai mẫu số liệu sau đây cho biết số lượng trường Trung học phổ thông ở mỗi tỉnh/thành phố thuộc Đồng bằng sông Hồng và Đồng bằng sông Cửu Long năm 2017: Đồng bằng sông Hồng
ꦦ 🐻 Giải bài 5.24 trang 90 SGK Toán 10 – Kết nối tri thức Bảng sau cho biết dân số của các tỉnh/thành phố Đồng bằng Bắc Bộ năm 2018 (đơn vị triệu người) a) Tìm số trung bình và trung vị của mẫu số liệu trên. b) Giải thích tại sao số trung bình và trung vị lại có sự sai khác nhiều. c) Nên sử dụng số trung bình hay trung vị để đại diện cho dân số của các tỉnh thuộc Đồng bằng Bắc Bộ?
꧂ Giải bài 5.23 trang 89 SGK Toán 10 – Kết nối tri thức Điểm Toán và điểm Tiếng Anh của 11 học sinh lớp 10 được cho trong bảng sau: Hãy so sánh mức độ học đều của học sinh trong môn Tiếng Anh và môn Toán thông qua các số đặc trưng: khoảng biến thiên, khoảng tứ phân vị, độ lệch chuẩn.
♛ ⛄ Giải bài 5.22 trang 89 SGK Toán 10 – Kết nối tri thức Lương khởi điểm của 5 sinh viên vừa tốt nghiệp tại một trường đại học (đơn vị triệu đồng) là: 3,5 9,2 9,2 9,5 10,5 a) Giải thích tại sao nên dùng trung vị để thể hiện mức lương khởi điểm của sinh viên tốt nghiệp từ trường đại học này. b) Nên dùng khoảng biến thiên hay khoảng tứ phân vị để đo độ phân tán? Vì sao?
Giải bài 5.21 trang 89 SGK Toán 10 – Kết nối tri thức ꦰ Điểm trung bình môn học kì I một số môn học của bạn An là 8; 9; 7; 6; 5; 7; 3. Nếu An được cộng thêm mỗi môn 0,5 điểm chuyên cần thì các số đặc trưng nào sau đây của mẫu

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Luyện Bài Tập Trắc nghiệm Toán 10 - Kết nối tri thức - Xem ngay

Báo lỗi - Góp ý

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{copa america tổ chức mấy năm 1 lần}

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