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Giải bài 5 trang 132 sách bài tập toán 10 - Chân trời sáng tạo

Tổng số giờ nắng trong các năm từ 2014 đến 2019 tại hai trạm quan trắc đặt tại Vũng Tàu và Cà Mau được ghi lại ở bảng sau:

𝓀Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Chân trời sáng tạo

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

Tổng số giờ nắng trong các năm từ 2014 đến 2019 tại hai trạm quan trắc đặt tại Vũng Tàu và Cà Mau được ghi lại ở bảng sau:

Năm

2014

2015

2016

2017

2018

2019
Vũng Tàu 2693,8 2937,8 2690,3 2582,5 2593,9 2814,0
Cà Mau 2195,8 2373,4 2104,6 1947,0 1963,7 2063,9
a) Sử dụng số trung bình, hãy so sánh số giờ nắng mỗi năm của Vũng Tàu và Cà Mau trong 6 năm trên. b) Sử dụng số trung vị, hãy so sánh số giờ nắng mỗi năm của Vũng Tàu và Cà Mau trong 6 năm trên.

Phương pháp giải - Xem chi tiết

+ Số trungg bình + Trung vị: Bước 1: Sắp xếp số liệu theo thứ tự không giảm: \({x_1},{x_2},...,{x_n}\) Bước 2: Tìm trung vị \({Q_2}\) của mẫu số liệu  Bằng \({x_m}\) nếu \(n = 2m - 1\); là \(\frac{1}{2}({x_m} + {x_{m + 1}})\) nếu \(n = 2m\)

Lời giải chi tiết

a) Số trung bình+ Vũng Tàu: \(\overline {{x_1}}  = \frac{{2693,8 + 2937,8 + 2690,3 + 2582,5 + 2593,9 + 2814,0}}{6} = 2718,7\)+ Cà Mau: \(\overline {{x_2}}  = \frac{{2195,8 + 2373,4 + 2104,6 + 1947,0 + 1963,7 + 2063,9}}{6} = 2108,1\)Nếu sử dụng số trung bình thì thời gian nắng mỗi năm ở Vũng Tàu nhiều hơn ở Cà Maub) Sắp xếp lại theo thứ tự không giảm ta có bảng sau:
Vũng Tàu 2582,5 2593,9

2690,3

2693,8

 2814,0 2937,8
Cà Mau 1947,0 1963,7

2063,9

2104,6

 2195,8 2373,4
+ Số trung vị của thời gian nắng mỗi năm ở Vũng Tàu là: \(\left( {2690,3 + 2693,8} \right):2 = 2692,05\)+ Số trung vị của thời gian nắng mỗi năm ở Cà Mau là: \(\left( {2063,9 + 2104,6} \right):2 = 2084,25\)Nếu sử dụng số trung vị thì thời gian nắng mỗi năm ở Vũng Tàu nhiều hơn ở Cà Mau 
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