Question

The Pearson's coefficient of skewness of X variable from a data set is +2.7. Some interpretation...

The Pearson's coefficient of skewness of X variable from a data set is +2.7. Some interpretation can be made about the data:

Mean equal median

More than 50% of the data has values more than the mean

Less than 50% of the data has values more than the mean

Less than 50% of the data has values more than the median More than

50% of the data has values more than the median

which one are correct

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Answer #1

If the frequency curve of the data is not equally distributed both sides, then it is known as the skewed data or curve.

the value of skewness lies between -3 and +3.

If tails lies more in the direction of the left, then it is known as the negatively skewed.

Mode> median > mean

If tails lies more in the direction of the right, then it is known as the positively skewed.

Mean> Median > mode

The Pearson's coefficient of skewness of X variable from a data set is +2.7.

Since the given value of the skewness is +2.75 which is positive, it means mean is greater than the mode and median. Hence it can be said that Less than 50% of the data has values more than the mean.

Hence option third is the correct answer.

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