Question

the table below shows the average attendance of school events by the day of the week on which they are held.
average attendance at school events

	thursday	friday
band concert	184	250

which values of x will indicate an association between the two variables in the two - way table? select the three correct answers.
□250
□304
□407
□422

Explanation:

Step1: Find no-association value

First, calculate the value of $x$ that would mean no association (proportional relationship). The ratio for Thursday should equal the ratio for Friday:
$$\frac{300}{184} = \frac{x}{250}$$
Solve for $x$:
$$x = \frac{300 \times 250}{184} \approx 407.61$$

Step2: Identify association values

An association exists when $x$ is not equal to this no-association value. We select values that differ from ~407.61.

Answer:

250, 304, 422