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Giải bài tập 7.14 trang 45 SGK Toán 9 tập 2 - Kết nối tri thức

Biểu đồ cột Hình 7.16 cho biết cỡ giày của các bạn nam khối 9 trong trường. Lập bảng tần số và tần số tương đối biểu diễn trên biểu đồ.

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Biểu đồ cột Hình 7.16 cho biết cỡ giày của các bạn nam khối 9 trong trường.

Lập bảng tần số và tần số tương đối biểu diễn trên biểu đồ.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

- Cách lập bảng tần số: + Từ biểu đồ ta tìm được tần số tương ứng với cỡ giày \({x_i}\). + Lập bảng tần số có dạng:

Trong bảng tần số, ta chỉ liệt kê các giá trị \({x_i}\) khác nhau, các giá trị \({x_i}\) này có thể không là số. - Cách lập bảng tần số tương đối: + Tính tần số tương đối ứng với các giá trị trong mẫu dữ liệu: Giá trị \({x_i}\) có tần số \({m_i}\) thì có tần số tương đối là: \({f_i} = \frac{{{m_i}}}{n}.100\left( \%  \right)\) với m là tổng tất cả các tần số có trong mẫu số liệu. + Lập bảng tần số tương đối có dạng:

Lời giải chi tiết

Tổng số học sinh trong khối 9 là: \(28 + 37 + 30 + 10 + 15 = 120\) (học sinh) Cỡ giày 36, 37, 38, 39, 40 có tần số lần lượt là 28, 37, 30, 10, 15. Do đó, ta có bảng tần số:

Tỉ lệ cỡ giày 36, 37, 38, 39, 40 tương ứng là \(\frac{{28}}{{120}} \approx 23,33\% ;\frac{{37}}{{120}} \approx 30,83\% ;\frac{{30}}{{120}} = 25\% ;\frac{{10}}{{120}} \approx 8,34\% ;\frac{{15}}{{120}} = 12,5\% \) Ta có bảng tần số tương đối:

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