Which one of the following frequency distribution is negatively skewed?
a)
A
b)
B
c)
C
d)
D
Correct answer is option 'D'. Can you explain this answer?

Question

Which one of the following frequency distribution is negatively skewed?a)Ab)Bc)Cd)DCorrect answer is option 'D'. Can you explain this answer?

Answer

Key Points:

A negatively skewed distribution is the distribution composed of mostly large observations and a few relatively small observations. For example, a test score on a very easy test of some general education courses will probably follow a negatively skewed distribution. A negatively skewed (also known as left-skewed) distribution is a type of distribution in which more values are concentrated on the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.
Most of the students will do very well, but a few students may never come to class and will score very poorly, so test scores will be composed of many high scores and a few relatively very low scores.
In this case, Median should be used instead of mean since it is not influenced by a few relatively very low scores.
in a negatively skewed distribution mean is less than the median since the mean is influenced by a few relatively very low scores.

Important Points:

In a Positively skewed distribution, the mean is greater than the median as the data is more towards the lower side and the mean average of all the values, whereas the median is the middle value of the data

Additional Information:

A positively skewed distribution is the distribution that is composed of mostly small observations and a few relatively or extremely large observations. For example, test scores on a very difficult exam probably follow a positively skewed distribution.
Because most students probably will Score quite low and only a few students probably will score high. To this date, I still remember my biochemistry mid-term at the University of Calcutta. we have over 120 students with 115 scores of 20- 50 out of a hundred, only less than 5 score 70 to 80. for this skewed distribution, the median is the one to use since it is not influenced by a few relative ne very high scores.