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06 Aug 2026, 19:00
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
51% (01:42) correct
49%
(01:33)
wrong
based on 146
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Justin took a test of French at school and scored 72 marks out of 100. If there were 20 students who appeared for the test, within how many standard deviations from the mean did Justin’s score lie?
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
(1) Darren and Matthew scored 70 and 75 respectively and their scores were within one standard deviation from the mean.
(2) The mean score of 20 students was 65 and Andrew who scored 59 was within one standard deviation of the mean.
07 Aug 2026, 12:08
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1 - if 70 and 75 are within 1 SD then 72 should be. Sufficient.
2 - 59 is within 1 SD, which is 6 points away from mean but we can’t be sure that 72 is, which is 7 pts away. Not sufficient
Answer is A?
2 - 59 is within 1 SD, which is 6 points away from mean but we can’t be sure that 72 is, which is 7 pts away. Not sufficient
Answer is A?
10 Aug 2026, 15:16
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Hi RSaurastri,
Yes, A is correct, and your Statement 1 logic is spot on. Both 70 and 75 sit inside the ±1 SD band, that band is one continuous stretch, so anything between them - including Justin's 72 - is inside it too. Definite answer, so (1) is sufficient.
Your conclusion on Statement 2 is also right (insufficient), but I want to tighten the reason, because the way you phrased it hides a small assumption.
The subtle point in Statement 2
When you said "59 is 6 points away, but 72 is 7 points away," you're quietly treating the SD as if it equals 6. But Andrew being within 1 SD only tells us:
- mean - SD ≤ 59 → 65 - SD ≤ 59 → SD ≥ 6
So the SD is at least6 - it could be 6, 7, 8, anything higher. That's the real gap: "within 1 SD" gives you an inequality, not the exact SD.
Why that makes it insufficient
Justin is 72 - 65 = 7 points above the mean, so his distance is 7 ÷ SD. Watch two allowed cases:
- If SD = 6: 7/6 ≈ 1.17 SDs → Justin is outside 1 SD.
- If SD = 7: 7/7 = 1.0 SD → Justin is exactly at 1 SD (inside).
Both cases obey Statement 2, yet they give different answers. Same statement → two answers → not sufficient.
So your final call is correct - just remember it's not sufficient because the SD isn't pinned down, not because 7 > 6.
Answer: A
Yes, A is correct, and your Statement 1 logic is spot on. Both 70 and 75 sit inside the ±1 SD band, that band is one continuous stretch, so anything between them - including Justin's 72 - is inside it too. Definite answer, so (1) is sufficient.
Your conclusion on Statement 2 is also right (insufficient), but I want to tighten the reason, because the way you phrased it hides a small assumption.
The subtle point in Statement 2
When you said "59 is 6 points away, but 72 is 7 points away," you're quietly treating the SD as if it equals 6. But Andrew being within 1 SD only tells us:
- mean - SD ≤ 59 → 65 - SD ≤ 59 → SD ≥ 6
So the SD is at least6 - it could be 6, 7, 8, anything higher. That's the real gap: "within 1 SD" gives you an inequality, not the exact SD.
Why that makes it insufficient
Justin is 72 - 65 = 7 points above the mean, so his distance is 7 ÷ SD. Watch two allowed cases:
- If SD = 6: 7/6 ≈ 1.17 SDs → Justin is outside 1 SD.
- If SD = 7: 7/7 = 1.0 SD → Justin is exactly at 1 SD (inside).
Both cases obey Statement 2, yet they give different answers. Same statement → two answers → not sufficient.
So your final call is correct - just remember it's not sufficient because the SD isn't pinned down, not because 7 > 6.
Answer: A
RSaurastri
