Question

7 9 9 3 5 What is the mean, medium and mode? Is this data best described as normal, positively skewed, or negatively skewed? Justify your answer.

Answer 1

The sample size is n=5. The provided sample data along with the data required to compute the sample mean is shown in the table below:

	X
	7
	9
	9
	3
	5
Sum =	33

The sample mean is computed as follows:

Now, in order to compute the median, the data needs to be put into ascending order, as shown in the table below

Position	X (Asc. Order)
1	3
2	5
3	7
4	9
5	9

Since the sample size n=5 is odd, we have that (n+1)/2=(5+1)/2=3 is an integer value, the median is computed directly by finding the value located at position 3rd, which is

median = 7

The mode is the most common observation.

Hence Mode = 9

Since the mean (6.6) is less than the median (7), the distribution is negatively skewed.

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!