The class sizes of the introductory psychology courses at a college are shown below 121,134,106,93,149,130,119,128 the college a
dds a new honors introductory psychology course with 45 student. What effect does the new class size have on the center and spread of the class sizes of the introductory psychology courses at the college?
The college adds a new Honors Introductory Psychology course with 45 students. What effect does the new class size have on the center and spread of the class sizes of the Introductory Psychology courses at the college?
Center : Mean Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5 After the introduction of the new course, center = average(121,134,106,93,149,130,119,128,45) = 113.9 The center has moved to the left (if plotted in a graph) because of the low intake for the new course. Spread before introduction of the new course : Arrange the numbers in ascending order: (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132 Spread = Interquartile range = Q3-Q1 = 19.5 After addition of the new course,
(45,93, 106,119,) 121, (128, 130,134, 149) Q1=median(45,93,106,119)=99.5 Q3=median (128, 130,134, 149)= 132 Spread = Interquartile range = 132-99.5 =32.5 We see that the spread has increased after the addition of the new course.
Let black card be represented with B and the red card be represented with r. Therefore, P(B,r) is the expected value.
Hence, we say, (b,r) is not equal to (0,0) for the first state, we then, have a probability of B/r+B(the probability of drawing out a black card and loosing a point.
Also, (B-1,r) state with the probability of r/r+B(which is the probability of drawing out a red card and gaining a point).
The expected value is therefore;
B/r+B(-1+(B-1,r) + r/r+B(1+P(B,r-1))
Therefore, if we have negative, then;
P(B,r)=0,B/r+B(-1,r)) + r/r+B(1+P(B,r-1))...
P(0,0)=0; P(26,26) = 339/8788
=.039
Note: we say that the expectation at the start if we draw red,gaining +1 and if we draw black and then draw two reds you end +1. That is; 1/26 × 2/26 × 1/26 = 1+ 338/8788