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Bài 5.13 trang 145 SGK Toán 11 tập 1 - Cùng khám phá

Bảng 5.33 biểu diễn kết quả tìm hiểu về chi tiêu hàng tháng cho nhà ở của công nhân làm việc trong một khi công nghiệp:
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Đề bài

Bảng 5.33 💦biểu diễn kết quả tìm hiểu về chi tiêu hàng tháng cho nhà ở của công nhân làm việc trong một khi công nghiệp:

Mức chi tiêu phổ biến (mức chi của nhiều người nhất) cho nhà ở của các công nhân xấp xỉ bằng bao nhiêu?

Phương pháp giải - Xem chi tiết

Mức chi tiêu phổ biến cho nhà ở của các công nhân chính là mốt của mẫu số liệu Nhóm chứa mốt là nhóm mà có tần số nhiều nhất Mốt của mẫu số liệu ghép nhóm được tính theo công thức: \({M_0} = {L_m} + \frac{a}{{a + b}}.h\) Trong đó: \({L_m}\) là đầu mút trái của nhóm chứa mốt; \(h\) là độ dài của nhóm chứa mốt; \(a = {n_0} - {n_1};b = {n_0} - {n_2}\) với \({n_0};{n_1};{n_2}\) tương ứng là tần số của nhóm chứa mốt, nhóm liền kề trước và nhóm liền kề sau nhóm chứa mốt.

Lời giải chi tiết

Nhóm chứa mốt là \(\left[ {2,5;3} \right)\) với tần số là 48. Khi đó \({L_m} = 2,5;\,h = 3 - 2,5 = 0,5\)\(a = 48 - 10 = 38;b = 48 - 24 = 24\)Ta có \({M_0} = {L_m} + \frac{a}{{a + b}}.h = 2,5 + \frac{{38}}{{38 + 24}}.0,5 \approx 2,8\)Vậy mức chi tiêu phổ biến cho nhà ở của các công nhân chính là \(2,8\) triệu đồng/tháng

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