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Bài tập 2 trang 42 Tài liệu dạy – học Toán 7 tập 2

Giải bài tập Điều tra năng suất lúa Đông Xuân năm 2015 của 12 tỉnh đồng bằng Sông Cửu Long được cho trong bảng sau:
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Đề bài

Điều tra năng suất lúa Đông Xuân năm 2015 của 12 tỉnh đồng bằng Sông Cửu Long được cho trong bảng sau:
STT Tỉnh Năng suất (tấn/ha)
1 An Giang 7,6
2 Bến Tre 7,5
3 Bạc Liêu 7,6
4 Cà Mau 7,3
5 Đồng Tháp 7,8
6 Hậu Giang 7,5
7 Kiên Giang 7,5
8 Long An 7,2
9 Sóc Trăng 7,4
10 Tiền Giang 7,6
11 Trà Vinh 7,5
12 Vĩnh Long 7,5
 a) Lập bảng tần số b) Vẽ biểu đồ hình chữ nhật c) Tính số trung bình cộng d) Tìm mốt của dấu hiệu

Phương pháp giải - Xem chi tiết

- Áp dụng: +) Khái niệm tần số: là số lần xuất hiện của mỗi giá trị trong dãy giá trị của dấu hiệu  +) Cách tính số trung bình cộng:  \(\overline{X} = \dfrac{x_{1}n_{1}+ x_{2}n_{2}+ x_{3}n_{3}+ ... + x_{k}n_{k}}{N}\) Trong đó: \({x_1},{\text{ }}{x_2},{\text{ }} \ldots ,{\text{ }}{x_k}\) là \(k\) giá trị khác nhau của dấu hiệu \(X\). \({n_1},{\text{ }}{n_2},{\text{ }} \ldots ,{\text{ }}{n_k}\) là tần số tương ứng. \(N\) là số các giá trị. \(\overline{X}\) là số trung bình của dấu hiệu \(X\). +) Mốt của dấu hiệu là giá trị có tần số lớn nhất

Lời giải chi tiết

a) Bảng tần số.

Năng suất (x)

Tần số (n)
7,2 1
7,3 1
7,4 1
7,5 5
7,6 3
7,8 1
 b)

 

c)

Giá trị (x)

Tần số (n)

Các tích (x.n)

Trung bình cộng
7,2 1 7,2     \(\overline X  = {{90} \over {12}} = 7,5\)
7,3 1 7,3
7,4 1 7,4
7,5 5 37,5
7,6 3 22,8
7,8 1 7,8
  N = 12 S = 90
 d) Mốt của dấu hiệu là 7,5.
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