The number of math homework problems given each night for 18 nights is shown below. 8, 9, 9, 9, 10, 11, 11, 11, 11, 14, 14, 15, 15, 16, 17, 17, 17, 18
Which box plot correctly displays the given data?
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8
10 12 14 16 18
Number of Math Problems
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8 10 12 14 16 18
Number of Math Problems
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10 12 14 16 18
Number of Math Problems

Question 3 (a) consider the data. 00 0 25 0.5 05 () construct the divaded difference's table for the data (u) construct the newton form of the polynomial of lowest degree that interpolates /() at these points (3) (ii) suppose that these data were generated by the function cos 2 ()=1+ 2 use the next term rule to approximate the error ip(z)- f() over the interval 0,0 5 your answer should be a pumber 3 (b) let f ((z) co+ clco, ci e r) set up the normal equations to find the least squares best fe f to approximate the data x y 2 y2 (c) find the constants a,b and c such that stz)(z-1+b(z-1)2+6(z-1)+1 cr +182-30+19- 1sz< 2 25z< 3 (9) s a natural cubic splhne [25] |turn over