Statistics and Trigonometry: Student Weights and Cosine Function

Weight of 30 Students - Minimum, Maximum, Average and Standard Deviation - Histogram

a = [71 82 65 75 77 91 59 84 89 81 73 91 82 75 96 85 69 76 81 92 84 79 77 95 81 79 84 85 76 82]

a = Columns 1 through 12

71 82 65 75 77 91 59 84 89 81 73 91

Columns 13 through 24

82 75 96 85 69 76 81 92 84 79 77 95

Columns 25 through 30

81 79 84 85 76 82

Maximum: 96

Minimum: 59

Average: 80.5333

Standard Deviation: 8.4516

Histogram

Plot the value of the cosine within [0 2π] with a step of π/20.

Label the axes and add a title.

Add to that graph the sine function. Use hold command.

Place legends to distinguish both graphic

x = 0:pi/20:2*pi

0 0.1571 0.3142 0.4712 0.6283 0.7854 0.9425 1.0996 1.2566

1.4137 1.5708 1.7279 1.8850 2.0420 2.1991 2.3562 2.5133 2.6704

2.8274 2.9845 3.1416 3.2987 3.4558 3.6128 3.7699 3.9270 4.0841

4.2412 4.3982 4.5553 4.7124 4.8695 5.0265 5.1836 5.3407 5.4978

5.6549 5.8119 5.9690 6.1261 6.2832

y = cos(x)

1.0000 0.9877 0.9511 0.8910 0.8090 0.7071 0.5878 0.4540 0.3090

0.1564 0.0000 -0.1564 -0.3090 -0.4540 -0.5878 -0.7071 -0.8090 -0.8910

-0.9511 -0.9877 -1.0000 -0.9877 -0.9511 -0.8910 -0.8090 -0.7071 -0.5878

-0.4540 -0.3090 -0.1564 -0.0000 0.1564 0.3090 0.4540 0.5878 0.7071

0.8090 0.8910 0.9511 0.9877 1.0000

Plot(x, y)

xlabel('x')

ylabel('cos(x)')

title('Cosine of x')

hold

Current plot held

z = sin(x)

0 0.1564 0.3090 0.4540 0.5878 0.7071 0.8090 0.8910 0.9511

0.9877 1.0000 0.9877 0.9511 0.8910 0.8090 0.7071 0.5878 0.4540

0.3090 0.1564 0.0000 -0.1564 -0.3090 -0.4540 -0.5878 -0.7071 -0.8090

-0.8910 -0.9511 -0.9877 -1.0000 -0.9877 -0.9511 -0.8910 -0.8090 -0.7071

-0.5878 -0.4540 -0.3090 -0.1564 -0.0000

Plot(x, z)

legend('cos(x)', 'sin(x)')

ylabel('y')