Question

charlotte owns two entertainment websites. here are some details about these websites for one entire month:

	website a	website b
number of posts published	110	270
average number of words of post	160	170
average likes per post	200	250
average comments per post	500	450
number of new subscribers	9000	33,000
revenue	$83,000	$75,000
expenses	$29,000	$47,000
profit (revenue - expenses)	$10,000	$33,000

charlotte wants to know which website has more user engagement per a single writer.

1. charlotte thought of two different ways to define this quantity. identify these two definitions among the following options.

choose 2 answers:

a average number of likes per writer

b total number of comments

c average number of words per writer

d average number of comments per writer

1. determine which website has more user engagement per a single writer according to the two definitions. did you get the same result for both definitions?

choose 1 answer:

a yes. according to both definitions, website a has more user engagement per a single writer.

b yes. according to both definitions, website b has more user engagement per a single writer.

c no. the definitions have opposite results.

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Explanation:

1)

To define user engagement per writer, we need metrics related to user interactions (likes, comments) per writer.

• Option A: Average number of likes per writer is a user interaction metric per writer, relevant for engagement.
• Option B: Total number of comments is not per writer, so not suitable.
• Option C: Average number of words per writer relates to writing length, not user engagement.
• Option D: Average number of comments per writer is a user interaction metric per writer, relevant for engagement.

So the two definitions are A and D.

Step 1: Calculate for Definition A (Average likes per writer)

• Website A: Likes = 110, Writers = 5. So $\frac{110}{5} = 22$.
• Website B: Likes = 270, Writers = 11. So $\frac{270}{11} \approx 24.55$.

Step 2: Calculate for Definition D (Average comments per writer)

• Website A: Comments = 500, Writers = 5. So $\frac{500}{5} = 100$.
• Website B: Comments = 650, Writers = 11. So $\frac{650}{11} \approx 59.09$.

For Definition A, B has more. For Definition D, A has more. So results are opposite.

Answer:

A. Average number of likes per writer, D. Average number of comments per writer

2)