Question

One hundred individuals were randomly selected in a study about their smoking behavior. Among them, 95 individuals dont smoke at all. For the rest, the numbers of cigarettes they smoke per day are 1,3,5,6,8

a) What is the sample median?

b) What is the sample interquartile range?

c) Do you think the sample median and the sample IQR provide an informative summary of the sample data?

Answer 1

a)

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

1   3   5   6   8   

So, the median is 5 ..

b)

The interquartile range is the difference between the third and first quartiles.

The third quartile is 7.

The first quartile is 2.

The interquartile range = 7 - 2 = 5.

C)

Yes ,  I think the sample median and the sample IQR provide an informative summary of the data