STA301~GDB Solution Fall 2020

STA301~GDB 1 Solution Fall 2020 (Graded Discussion Board)

STA301 GDB No.1 Solution
Prepared By VU Learning

Question 1:
What can you say of the skewness in each of the following cases?
❖ Mode= 32.1 and Mean=35.4
❖ Median= 1459 and Mean= 1403
❖ Median = 50 and Mode = 50
Solution:
We know that

Mean > Medium > Mode

Formula:

Mode=3median-2mean

Now,
PART 1: Mode= 32.1 and Mean=35.4
32.1=3Median-2(35.4)
32.1=3Median-70.8
3Median=32.1+70.8
Median=102.9/3
Median=34.3

Here, 35.4>34.3>32.1
Thus, the skewness is positive because mean has higher value.

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STA301 GDB 1 Solution By VU Learning

PART 2: Median= 1459 and Mean= 1403
Mode=3(1459)-2(1403)
Mode=4377-2806
Mode=1571

Here, 1403>1459>1571
Mode is higher than Median & Mode. Hence, the skewness negatively
skewed.
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PART 3: Median = 50 and Mode = 50
50=3(50)-2Mean
50=150-2Mean
50-150=-2Mean
-100=-2Mean
100/2=Mean
Mean=50
Here, Mean=Median=Mode
Here, skewness is will be symmetric here medium = mode. Thus, The
skewness is symmetric.

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