Question

Select the correct answer from each drop-down menu. 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 data 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 .

Answer 1

Mean = 3.5

Median = 3

Distribution is negatively skewed.

What is skew in the distribution?

The distribution has no skewness if the mean and median are equal.

The median exceeds the mean in a favorably skewed distribution.

The distribution is also negatively skewed if the median is lower than the mean.

Given,

Data set : 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8

Mean = $\frac{1+1+2+2+2+3+3+3+3+4+4+4+5+5+6+8}{16}$

Mean = $\frac{56}{16}$

Mean = $3.5$

Median = mid value of the data set when the values are arranged in   ascending order

Here,

the two mid values = $3, 3$

Median = $\frac{3+3}{2}$

Median = $\frac{6}{2}$

Median = $3$

Now, as the mean is larger than the median therefore the distribution will be skewed negatively.

To know more about skewness.....

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