Question

here are the fuel efficiencies (in mpg) of 15 new cars.
41, 26, 15, 15, 20, 17, 33, 45, 28, 46, 31, 34, 18, 13, 25
what is the percentage of these cars with a fuel efficiency less than 25 mpg?

Explanation:

Step1: Count numbers <25

List: 41,26,15,15,20,17,33,45,28,46,31,34,18,13,25
Numbers <25: 15,15,20,17,18,13 → Total: 6 (Wait, check again: 15,15,20,17,18,13, and 25 is not <25. Wait, original list: 15,15,20,17,18,13, and also 25? No, 25 is not less than 25. Wait, let's list all:
13 (yes), 15 (yes), 15 (yes), 17 (yes), 18 (yes), 20 (yes), 25 (no), 26 (no), 28 (no), 31 (no), 33 (no), 34 (no), 41 (no), 45 (no), 46 (no). Wait, that's 13,15,15,17,18,20 → 6 numbers? Wait, wait the list has 15 numbers: let's count the elements:

1. 41
2. 26
3. 15
4. 15
5. 20
6. 17
7. 33
8. 45
9. 28
10. 46
11. 31
12. 34
13. 18
14. 13
15. 25

So numbers less than 25: 15 (3), 15 (4), 20 (5), 17 (6), 18 (13), 13 (14) → Wait, positions 3,4,5,6,13,14: that's 6 numbers? Wait no: 13 (14), 15 (3), 15 (4), 17 (6), 18 (13), 20 (5) → total 6? Wait, 13,15,15,17,18,20: 6 numbers. Wait, but 25 is 25, not less. So total cars: 15.

Step2: Calculate percentage

Percentage = (Count / Total) × 100 = (6 / 15) × 100 = 40%? Wait, wait no: wait 13,15,15,17,18,20: that's 6? Wait, wait 13,15,15,17,18,20: 6 numbers. Wait, but let's check again:

Numbers in list:

1. 41 → ≥25
2. 26 → ≥25
3. 15 → <25
4. 15 → <25
5. 20 → <25
6. 17 → <25
7. 33 → ≥25
8. 45 → ≥25
9. 28 → ≥25
10. 46 → ≥25
11. 31 → ≥25
12. 34 → ≥25
13. 18 → <25
14. 13 → <25
15. 25 → =25 (not <25)

So count of <25: positions 3,4,5,6,13,14 → 6 numbers. Wait, but 6/15 = 0.4 → 40%? Wait, but wait, maybe I missed a number. Wait, 25 is the 15th number. So total 15 numbers. So 6 numbers <25. Then 6/15 = 0.4 → 40%? Wait, but let's check again: 13,15,15,17,18,20: that's 6 numbers. Yes. So 6 out of 15.

Step3: Compute percentage

Percentage = (6 / 15) × 100 = 40%? Wait, 6 divided by 15 is 0.4, times 100 is 40. Wait, but wait, maybe I made a mistake in counting. Let's list all numbers less than 25:

13 (14th), 15 (3rd), 15 (4th), 17 (6th), 18 (13th), 20 (5th). That's 6 numbers. So 6/15 = 0.4 → 40%. Wait, but maybe I missed a number. Wait, 25 is not less than 25. So yes, 6 numbers. So 6/15 = 0.4 → 40%.

Answer:

40%