Skew of distribution

a comic-strip writer churns out different numbers of comic strips each day. the writer logged the number of comic strips he wrote each day for 16 days and sorted the data in ascending order to create this data set.

{1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8}

the skew in the distribution is . if the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference of the mean and the median for the new data set is

 The skew in the distribution is positive. If the writer writes for two more days and creates 5 and 7 comic strips, respectively, the difference of the mean and the median for the new data set is 0.28.

Step-by-step explanation:

Given data : {1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8}

Now, data is already arranged in ascending order.

Since number of observations (16) is even.

Median = Mean of

=Mean of

⇒Median

Since, Median < Mean

Then , the data is positively skewed.

The new data set :  {1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8,5,7}

Number of data values :18

Now,

Again number of observations (18) is even.

Median = Mean of

=Mean of

⇒Median

Difference of the mean and the median for the new data set is