Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)

a)

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

Section 2 did better overall on the exam

Step-by-step explanation:

As given,

Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94

Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98

a)  

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

As,

Standard deviation of section 2 < Standard deviation of section 1

⇒ Students of Section 2 are more consistent.

Also,

mean of Section 2 > mean of Section 1,

⇒average score of Section 2 student > Average score of  Section 1 student.

∴ we get

Section 2 did better overall on the exam.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.