Answer:
The bias increases negatively. It remains negative but in a greater proportion
Step-by-step explanation:
Step 1: Calculate the Average
Mean = SUM (Xi) / N, where
Xi is each value, and N is the number of data
Mean = (1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 7) / 16
Mean = 55 / 16
Mean = 3.44
Step 2: Calculate the Median
The median is the average value of the distribution.
Since there are 16 ordered values, the median is the average of the values in the eighth and ninth positions, that is,
Median = (3 + 3) / 2
Median = 3
Step 3: Compare the Average and the Median
Mean = 3.44
Median = 3
The Median is smaller than the Average
Step 4: Apply asymmetry rules
(1) If the mean is equal to the median, the asymmetry of the distribution is 0, that means there would be no bias.
(2) If the Median is greater than the Average, the distribution is positively skewed.
(3) If the Median is less than the Average, the distribution is negatively skewed.
Step 5: Determination of bias
Being the Median smaller than the Average (3 <3.44), then the distribution is asymmetric and negatively skewed in a proportion of,
3 - 3.44 = -0.44
Now, we repeat the procedure of the previous steps but adding the value of the additional day where 8 new comic strips are presented.
Mean = 63 / 17
Mean = 3.71
Median = 3 (Average value, ninth position)
The Median is smaller than the Average.
The bias remains negative but now in a greater proportion,
3 - 3.71 = -071
The initial bias was -0.44, now it is -0.71.
The difference in bias is,
-0.71 - (-0.44) = -0.71 + 0.44 = -0.27
I hope this helps!
