Using the information below, find Art Major X= 48 X-bar= 55 s=7 Theater Major X=

Question

Using the information below, find Art Major X= 48 X-bar= 55 s=7 Theater Major X= 80 X-bar= 70 s= 5
a. The z score for each student. b. Which student performed better within their class? c. The Coefficient of Variation for both Art and Theater classes d. Which Class was more variable? e. What would be the range of grades for the ART students that would cover at least 88.89% of the students?
Using the information below, find Art Major X= 48 X-bar= 55 s=7 Theater Major X= 80 X-bar= 70 s= 5
a. The z score for each student. b. Which student performed better within their class? c. The Coefficient of Variation for both Art and Theater classes d. Which Class was more variable? e. What would be the range of grades for the ART students that would cover at least 88.89% of the students?
Using the information below, find Art Major X= 48 X-bar= 55 s=7 Theater Major X= 80 X-bar= 70 s= 5
a. The z score for each student. b. Which student performed better within their class? c. The Coefficient of Variation for both Art and Theater classes d. Which Class was more variable? e. What would be the range of grades for the ART students that would cover at least 88.89% of the students?

Explanation / Answer

Solution:

Z score can be calculated as

Z= (x-xbar)/s

Z art major = (48-55)/7 = -7/7=-1

Z theater major =(80-70)/5 = 2

Solution (b)

As we can see z value for art major is -1 which means student is below average

Z value for theater major is 2 which means student is above average so we can say students performs better in theater major class.

Solution(c):

Coeficeint of variation = (s/xbar)*100%

Coeficoemt of variation for art major = (7/55)*100%

= 12.7272%

Coeficoent of variation for theater major =5/70*100%

= 7.14%

Solution(D):

According to coefieint of varaition we can say art major is more variable than theater major.

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