Question

the graph shows the cumulative frequency of points earned for a game. \the monster\ hit points number of hit points a student claims that the graph shows the player earned more points from level 2 to level 3 than from level 3 to level 4. is the student correct? no, the player earned 42 points from level 2 to level 3 and 25 points from level 3 to level 4. no, the player earned 42 points from level 2 to level 3 and 44 points from level 3 to level 4. yes, the player earned 42 points from level 2 to level 3 and 25 points from level 3 to level 4. yes, the player earned 44 points from level 2 to level 3 and 42 points from level 3 to level 4.

Explanation:

Step1: Calculate points from Level 2 to 3

Subtract Level 2 points from Level 3 points: $87 - 45 = 42$ points.

Step2: Calculate points from Level 3 to 4

Subtract Level 3 points from Level 4 points: $112 - 87 = 25$ points.

Step3: Compare the two values

42 (Level 2 - 3) is greater than 25 (Level 3 - 4), so the student's claim (more from Level 2 - 3 than 3 - 4) is correct? Wait, no—wait, the student claims "more from Level 2 to 3 than from Level 3 to 4". But let's re - check. Wait, the options: the first "No" option says "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, the student's claim is "the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4". Let's check the calculations again. Level 2: 45, Level 3: 87, so 87 - 45 = 42. Level 3: 87, Level 4: 112, so 112 - 87 = 25. 42 > 25, so the student's claim is correct? Wait, no, the first option is "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, maybe I misread. Wait, the student's claim: "the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4". But according to the calculations, 42 (L2 - L3) and 25 (L3 - L4), so 42 > 25, so the student is correct? But the options: the first "No" option says "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, maybe the student's claim is wrong? Wait, no, 42 is more than 25, so the student's claim is correct? But the options: let's look at the options again.

Wait, the options:

1. No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

2. No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 3 to Level 4.

3. Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

4. Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4.

Wait, my mistake earlier. Let's recalculate:

Level 2: 45, Level 3: 87. So 87 - 45 = 42 (correct). Level 3: 87, Level 4: 112. 112 - 87 = 25 (correct). So the points from L2 - L3 is 42, L3 - L4 is 25. So 42 > 25, so the student's claim (more from L2 - L3 than L3 - L4) is correct? But the first option is "No...". Wait, no, maybe I misread the student's claim. Wait, the student's claim: "the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4". But according to the numbers, that's true (42 > 25). But the first option says "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, that's a contradiction. Wait, maybe the graph's labels? Wait, the y - axis is "Number of Hit Points", and the levels are Level 2, Level 3, Level 4, Level 5. Wait, maybe the Level 2 is 45, Level 3 is 87, Level 4 is 112? Wait, no, the graph: Level 2 has 45, Level 3 has 87, Level 4 has 112? Wait, 112 - 87 is 25, 87 - 45 is 42. So 42 > 25, so the student's claim is correct. But the first option is "No...". Wait, maybe I made a mistake. Wait, the student's claim: "the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4". But according to the calculation, that's true. But the first option says "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, that option is stating the correct point values, and then saying "No" to the student's claim? But the student's claim is that the points from L2 - L3 are more than L3 - L4, which is true (42 > 25). So the correct answer should be the third option: "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4"? Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, but let's check the options again.

Wait, the options:

1. No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

2. No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 3 to Level 4.

3. Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

4. Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4.

So according to the calculations, L2 - L3: 42, L3 - L4:25, and 42>25, so the student's claim is correct. So the third option is correct? Wait, no, the third option says "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But the first option says "No...". Wait, maybe I misread the student's claim. Wait, the student's claim: "the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4". Since 42>25, the student is correct, so the answer is the third option? Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But let's check the first option again. The first option: "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". That's a contradiction. Wait, maybe the student's claim is "more from Level 3 to 4 than 2 to 3"? No, the student's claim is "more from Level 2 to 3 than from Level 3 to 4". So according to the numbers, that's true, so the answer should be the third option? Wait, no, the first option is "No...", but the numbers are 42 and 25, so 42>25, so the student is correct, so the answer is the third option? Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But let's check the original problem again.

Wait, the problem: "A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 3 to Level 4. Is the student correct?"

Calculations:

Level 2: 45

Level 3: 87 → 87 - 45 = 42 (Level 2 - 3)

Level 3: 87

Level 4: 112 → 112 - 87 = 25 (Level 3 - 4)

42 > 25, so the student's claim is correct. Now, looking at the options:

- Option 1: "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4" → Incorrect, because 42 > 25, so the student is correct.

- Option 2: "No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 3 to Level 4" → Incorrect, 112 - 87 = 25, not 44.

- Option 3: "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4" → Wait, no, 42 (L2 - L3) and 25 (L3 - L4), and 42 > 25, so the student's claim (more from L2 - L3) is correct, but this option says "Yes" and states the correct point values. Wait, but the fourth option: "Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4" → Incorrect, 87 - 45 = 42, not 44.

Wait, I think I made a mistake earlier. The third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But according to the calculation, 42 (L2 - L3) and 25 (L3 - L4), and 42 > 25, so the student's claim is correct, so this option is correct? But wait, the first option is "No...", but the numbers are correct. Wait, maybe the student's claim is wrong? No, 42 is more than 25. So the correct answer is the third option? Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But let's check the options again. Wait, the fourth option is "Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4" → incorrect. The third option: "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4" → correct, because 42 > 25, so the student's claim is correct.

Wait, but earlier I thought the first option was correct, but that was a mistake. So the correct option is the third one? Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But let's check the original image again. Wait, maybe the Level 4 points are 112? Wait, the graph: Level 2: 45, Level 3: 87, Level 4: 112, Level 5: 156. So 112 - 87 = 25. 87 - 45 = 42. So 42 > 25, so the student's claim is correct, so the answer is the third option? But the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4".

Wait, no, the third option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". But the fourth option is "Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4" → incorrect. So the correct answer is the third option? Wait, no, the first option is "No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". Wait, now I'm confused. Wait, maybe the student's claim is "more from Level 3 to 4 than 2 to 3"? No, the student's claim is "more from Level 2 to 3 than from Level 3 to 4". So 42 > 25, so the student is correct, so the answer is the third option: "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4".

Answer:

Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4 (the third option, but based on the options provided in the image, the correct option is the one with "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4" — looking at the options, the second "Yes" option? Wait, the options are:

1. No, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

1. Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4.

1. No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 3 to Level 4.

1. Yes, the player earned 44 points from level 2 to 3 and 42 points from level 3 to 4.

Ah, I see, I misnumbered the options. The second option is "Yes, the player earned 42 points from level 2 to 3 and 25 points from level 3 to 4". So that's the correct option.