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Giải bài 18 trang 38 sách bài tập toán 10 - Cánh diều

Kết quả dự báo nhiệt độ cao nhất trong 10 ngày liên tiếp ở Nghệ An cuối tháng 01 năm 2022 được cho ở bảng sau:

♏Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Cánh diều

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

Kết quả dự báo nhiệt độ cao nhất trong 10 ngày liên tiếp ở Nghệ An cuối tháng 01 năm 2022 được cho ở bảng sau:
Ngày 22 23 24 25 26 27 28 29 30 31
Nhiệt độ (độ C) 23 25 26 27 27 27 27 21 19 18
  a) Viết mẫu số liệu thống kê nhiệt độ nhận được từ bảng trên b) Tính số trung bình cộng, phương sai và độ lệch chuẩn của mẫu số liệu đó

Phương pháp giải - Xem chi tiết

+ Viết mẫu số liệu theo thứ tự không tăng + Dùng công thức tính số trung bình: \(\overline x  = \frac{{{x_1} + {x_2} + ... + {x_n}}}{n}\) + Tìm phương sai theo công thức \({S^2} = \frac{1}{n}\left( {{n_1}{x_1}^2 + {n_2}{x_2}^2 + ... + {n_k}{x_k}^2} \right) - {\overline x ^2}\) và độ lệch chuẩn \(S = \sqrt {{S^2}} \)

Lời giải chi tiết

a) Viết mẫu số liệu theo thứ tự không tăng: 23; 25; 26; 27; 27; 27; 26; 21; 19; 18b)+ Số trung bình của mẫu số liệu là: \(\overline x  = \frac{{23 + 25 + 26 + 27 + 27 + 27 + 26 + 21 + 19 + 18}}{{10}} = 24\)+ Phương sai: \({S^2} = \frac{1}{{10}}\left( {{{23}^2} + {{25}^2} + ... + {{18}^2}} \right) - {24^2} = 11,2\)+ Độ lệch chuẩn: \(S = \sqrt {{S^2}}  = \sqrt {11,2}  = \frac{{2\sqrt {70} }}{5}\)

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