THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 10 observations produces the following summary values:
= 10815.472,
= 72.48 and S 2 = 28.044
-What is the approximate value of kurtosis?
A)0.049
B)1.375
C)0.221
D)1.173

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 10 observations produces the following summary values:  
= 10815.472,  
= 72.48 and S 2 = 28.044
-What is the approximate value of kurtosis?
A)0.049 
B)1.375 
C)0.221 
D)1.173

Quizplus · Accepted Answer

Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. In a general statistical context, normal distribution has a kurtosis of 3. When we talk about excess kurtosis, we subtract 3 from the kurtosis to compare it to the normal distribution. Therefore, an approximate value of kurtosis close to 3 (or an excess kurtosis close to 0) would be considered normal. Among the given options, 1.375 is the closest to 3, suggesting it's a plausible value for kurtosis, especially if we're discussing excess kurtosis.