Question

Consider the following data set representing the number of times customers

visited The Coffee House during a certain week.

1 1 1 2 2 2 2 3 3 3 3

3 4 4 4 5 5 6 7 7

a) Construct a boxplot for the data.

b) Using the boxplot, describe the distribution of the data.

c) Calculate and interpret the IQR

d) Determine the percentile rank of 4 days.

Answer 1

Consider the following data set representing the number of times customers visited The Coffee House during a certain week.

1 1 1 2 2 2 2 3 3 3 3

3 4 4 4 5 5 6 7 7

From the given data, we have

First quartile, Q1: first quartile is the medium of the first half of the given data.

Q1 = 2

Median= 3

Third quartile, Q3 : third quartile is the median of the the second half of the given data.

Q3 = 4.5

So the percentile rank is 75.