Question

the two-way table shows 50 students that do or do not jog as an exercise and whether they lift weights or not.

	jog	do not jog	total
do not lift weights	24	5	29
total	32	18	50

what percentage of weightlifters jog?

a) 0.42 = 42%

b) 0.25 = 25%

c) 0.38 = 38%

d) 0.16 = 16%

Explanation:

Step1: Identify relevant numbers

From the table, number of weightlifters who jog is 8, total number of weightlifters is 21.

Step2: Calculate the percentage

Percentage = (Number of weightlifters who jog / Total number of weightlifters) × 100 = $\frac{8}{21} \times 100 \approx 38.1\% \approx 38\%$? Wait, no, wait: Wait, 8 divided by 21? Wait, no, wait the table: Lift Weights row, Jog column is 8, total for Lift Weights is 21. So 8/21 ≈ 0.3809, which is approximately 0.38 or 38%? Wait but option A is 0.42. Wait, wait, maybe I misread. Wait, Lift Weights: Jog is 8, Do not Jog is 13, total 21. So 8/21 ≈ 0.38, but option A is 8/21? Wait no, 8 divided by 21 is approximately 0.38, but 8/21 is about 0.38, but 8/19? No, wait the total weightlifters is 21. Wait 8 divided by 21: 8÷21≈0.38, but option A is 0.42. Wait, maybe I made a mistake. Wait, 8 divided by 21: 21×0.38≈8, 21×0.42≈8.82. Wait, maybe the table: Lift Weights, Jog is 8, total weightlifters is 21. So 8/21≈0.38, which is 38%, option C. Wait but let's recalculate: 8 divided by 21. 21×0.38 = 7.98, which is approximately 8. So 8/21≈0.38, so 38%, which is option C? Wait no, wait the options: A is 0.42=42%, B 0.25=25%, C 0.38=38%, D 0.16=16%. Wait, 8 divided by 21 is approximately 0.38, so C. But wait, maybe I misread the table. Let me check again. The table:

Lift Weights: Jog=8, Do not Jog=13, Total=21.

Do Not Lift Weights: Jog=24, Do not Jog=5, Total=29.

Total: Jog=32, Do not Jog=18, Total=50.

So the number of weightlifters (who lift weights) is 21, number of those who jog is 8. So percentage is (8/21)*100 ≈ 38.1%, which is approximately 38%, so option C. Wait but 8 divided by 21 is approximately 0.38, so C. But let's check 8/21: 21×0.38=7.98≈8, so yes. So the correct answer is C? Wait no, wait 8 divided by 21 is about 0.38, so C.0.38 = 38%.

Wait, but maybe I made a mistake. Wait, 8 divided by 21: 8÷21≈0.3809, so 38%, so option C.

Answer:

C. 0.38 = 38%