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[Solved] STA301 GDB 1 Fall 2020  


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STA301 Statistics and Probability GDB 1 Solution & Discussion Fall 2020


STA301 GDB Solution:

 

 

Q= What can you say of the Skewness in each of following cases?

1= Mode= 32.1   and Mean= 35.4

2= Median= 1459 and Mean= 1403

3= Median= 50 and Mode= 50

 

Answer:

They ask us find about Skewness: So there are two types of Skewed.

1= Positive Skewed: Mean<Median<Mode

2= Negative Skewed: Mode>Median>Mean

Solution.

1= Mode= 32.1   and Mean= 35.4  So we find Median= ?

Formula: Mode=3 Medain-2 Mean

32.1= 3(Median) -2(35.4)

32.1= 3(Median) -70.8

32.1+70.8= 3(Median)

102.9= 3(Median)

102.9/3 = Median

34.3= Median

So it is Positive Skewed : Mean<Median<Mode = 35.4<34.3<32.1

 

2= Median= 1459 and Mean= 1403 So we find Mode=?

Formula: Mode = 3Median -2Mean

Mode = 3Medain -2Mean

Mode= 3(1459) -2(1403)

Mode= 4377-2806

Mode= 1571

So this is Negative Skewed: Mode>Median>Mean = 1571>1459>1403

 

3= Median= 50 and Mode= 50 So we Find Mean=?

Fomula: Mode = 3Medain -2Mean

Mode = 3Medain -2Mean

50= 3(50) -2(Mean)

2(Mean)= 150-50

2(Mean)= 100

2(Mean)/2 = 100/2 = 50

So, Mean= 50

So This is Normal Distribution: Mean=Median=Mode: 50=50=50

 

 

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