Question

Which answer best describes the shape of this distribution?

Skewed Left

Uniform

Skewed Right

Bell-Shaped

Answer 1

C. Skewed right.

Explanation:

We have been given an image of dot-plot. We are asked to find the shape of the given data distribution.

We can see from our given dot-plot that it has a long tail on the right hand side. This mean the given data set is positively skewed, so the mean of our given data set will be greater than the median.

Since mean of our given data set is greater than the median, therefore, our given data set is skewed to right and option C is the correct choice.

Answer 2

Answer with explanation:

The Dot plot ,Representing Data Values at different Points are

4, 5, 4, 3, 3, 2,2,1,1,1

Arranging it in Ascending order

1,1,1,2,2,3,3,4,4,5

Number of values in data set is 10, which is even.

Median

`=(5th +6th)/(2)\\\\=(2+3)/(2)\\\\=2.5`

Mean

`=(1+1+1+2+2+3+3+4+4+5)/(10)\\\\=(26)/(10)\\\\=2.6`

Mode =1

Mean > Median > Mode

It means graph of the distribution will be Skewed Right.

Option C: Skewed Right