The correct option regarding the skewness of the given distribution is:
The data is clumped to the right.
How to find the skewness of the distribution?
To find the skewness of the distribution, we need to look at the mean and the median of the distribution.
The mean is the sum of all the observations in the distribution divided by the number of observations. The graph shows the number of times that each observation appears, hence the mean is found as follows:
Mean = (1 x 2 + 2 x 5 + 3 x 8 + 4 x 2 + 5 x 12 + 6 x 7 + 7 x 13 + 8 x 3 + 9 x 5 + 10 x 11)/(2 + 5 + 8 + 2 + 12 + 7 + 13 + 3 + 5 + 11) = 6.12.
The median is the middle term of the distribution. There are 68 terms in the distribution, hence the median is the observation in which the count reaches 34. Then:
- Observation 2: Count 2 + 5 = 7.
- Observation 3: Count 7 + 8 = 15.
- Observation 4: Count 15 + 2 = 17.
- Observation 5: Count 17 + 12 = 29.
- Observation 6: Count 29 + 7 = 36 > 34.
Hence the median is of 6, which is less than the mean. Since the median is less than the mean, the data is right skewed, that is, clumped to the right.
More can be learned about the skewness of a distribution at https://brainly.com/question/24309209
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