Question

A department store stocks pants and shorts in the colors black and blue. The relative frequency of their orders for blue pants is half the relative frequency of their orders for black shorts. Which two-way frequency table could represent the data from the store's orders?

Answer 1

Answer:

Table 2

Step-by-step explanation:

The question is to identify the table where the relative frequency of orders for blue pants is half the relative frequency of their orders for black shorts.

We are interested in the number of blue pants and black shorts.

If we name them as p and b respectively, then we are looking for a table where s/p=2

Let's verify relevant data in all tables:

Table 1:

• p= 82, s= 41  ⇒ s/p= 41/82 ≠ 2, no, not this one

Table 2:

• p= 57, s= 114 ⇒ s/p= 114/57 = 2, yes, it is the one

Table 3:

• p= 78, s= 110 ⇒ s/p= 110/78 ≠ 2, no, not this one

Table 4:

• p= 44, s= 150 ⇒ s/p= 150/44 ≠ 2, no, not this one

So only one of tables- the second one from top represents the required data.