Question

What is the shape of the following distribution?

{9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20}

negative skew


postive skew


symmetric


asymmetric with no skew


none of the above

Answer 1

C.) Symmetric

Explanation:

I just got it right.

Answer 2

The first step is the summarize the data in tabular form. We have to mention the frequency of each number in front of it. For example, 19 occurs only once in the data, so the frequency of 19 will be one. The complete table is shown below.

On basis of this frequency table we can construct a histogram to visualize the data. The histogram is constructed and attached with. We can observe that the peak is at 4. There are fewer values on right side of the peak as compared to the left side of the peak. So more values tend to lie in left tail.

When there are more values in left tail we say that the data is left skewed or negatively skewed. So first option is the correct answer.