Question

A survey at the local fair asked people of different ages about their favorite game to play. The results are displayed in the two-way relative frequency table below:

Ages
12 and Under 13 – 17 18 – 22 23 and Over
Dart Throw l 1 5 8 2
Flip-Frog l 7 9 4 12
Whack-a-Mole l 5 1 3
Ball Throw l 2 7 4 2
Ring Toss l 4 2 5 9

Suppose someone likes to play the Flip-Frog game. What is the conditional frequency they are between 18 and 22 years old? If needed, round answer to the nearest tenths.

A. 37.5%

B. 9.1%

C. 18.2%

D. 12.5%

Answer 1

Yeah but (a) is the correct one

Answer 2

Explanation:

To find the conditional frequency of someone who likes Flip-Frog game and is between 18 and 22 years old, we need to use the formula:

Conditional frequency = (Frequency of Flip-Frog players between 18 and 22) / (Total frequency of Flip-Frog players)

From the table, we see that the frequency of Flip-Frog players between 18 and 22 is 4, and the total frequency of Flip-Frog players is 9+4+12=25.

Therefore, the conditional frequency of someone who likes Flip-Frog game and is between 18 and 22 years old is:

Conditional frequency = 4 / 25 = 0.16 = 16%

Rounding to the nearest tenth, we get:

Conditional frequency = 16.0%

So, the answer is not one of the options given.