Question

In: Statistics and Probability

Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of...

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

Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts)
Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)

Expert Solution

solution:

a)

SPSS OUTPUT

SECTION A: MEAN= 73.8

MEDIAN= 78

MODE = 45

MEDIAN GREATER THAN MEAN . IT IS NEGATIVELY SKEWED.

SECTION B: MEAN= 76.4

MEDIAN=77

MODE= 77

MEAN , MEDIAN AND MODE ARE EQUAL THEREFORE THE DATA IS NORMALLY DISTRIBUTED.

VARIABILITY OF SCORES IS HIGHER IN SECTION A AS COMPARED TO SECTION B

b)

SECTION B DID BETTER IN EXAM AS COMPARED TO SECTION A.

Explanation: MEAN SCORE FOR B IS GREATER THAN MEAN SCORE FOR SECTION A.

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