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datdude
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A certain survey recorded the number of television sets owned by each 29 Jul 2024, 10:31
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Difficulty:

35% (medium)

Question Stats:

69% (01:00) correct 31% (00:57) wrong based on 422 sessions

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­A certain survey recorded the number of television sets owned by each of the 80 families surveyed. The graph shows the number of families that each owned a given number of television sets. For the families surveyed that owned fewer than 3 television sets, what was the total number of television sets owned?

(A) 31
(B) 35
(C) 41
(D) 45
(E) 51­
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stne
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A certain survey recorded the number of television sets owned by each 29 Jul 2024, 18:59
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datdude

­A certain survey recorded the number of television sets owned by each of the 80 families surveyed. The graph shows the number of families that each owned a given number of television sets. For the families surveyed that owned fewer than 3 television sets, what was the total number of television sets owned?

(A) 31
(B) 35
(C) 41
(D) 45
(E) 51­
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­
\(20*2 + 11*1 = 40+11 = 51\)

Ans E

Hope it helped.­
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howardsh
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A certain survey recorded the number of television sets owned by each 29 Jul 2024, 22:27
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I got confused in this mock...and chose B. How do you know if we need to include 16 families who's got exactly 3 television sets? Especially when the question is saying "families surveyed that owned fewer than 3 television sets..."? Otherwise I would've gotten 51 instead of 35.
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stne
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A certain survey recorded the number of television sets owned by each 29 Jul 2024, 23:06
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howardsh
I got confused in this mock...and chose B. How do you know if we need to include 16 families who's got exactly 3 television sets? Especially when the question is saying "families surveyed that owned fewer than 3 television sets..."? Otherwise I would've gotten 51 instead of 35.
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­Question clearly says " For the familes surveyed that owned fewer than \(3\) televison sets ". So why would you include familes that owned \(3\) televison sets.

\(20\) familes owned \(2\) televison sets and \(11 \) familes owned \(1\) televison set.

Hence total televison owned \(= 20*2 + 11*1 = 51\)

Hope it helped.­
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howardsh
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A certain survey recorded the number of television sets owned by each 30 Jul 2024, 19:36
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stne

howardsh
I got confused in this mock...and chose B. How do you know if we need to include 16 families who's got exactly 3 television sets? Especially when the question is saying "families surveyed that owned fewer than 3 television sets..."? Otherwise I would've gotten 51 instead of 35.
­Question clearly says " For the familes surveyed that owned fewer than \(3\) televison sets ". So why would you include familes that owned \(3\) televison sets.

\(20\) familes owned \(2\) televison sets and \(11 \) familes owned \(1\) televison set.

Hence total televison owned \(= 20*2 + 11*1 = 51\)

Hope it helped.­
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­ahhh got it. thanks
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A certain survey recorded the number of television sets owned by each 06 Sep 2024, 12:50
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There is a significant trap here. 35 vs 51. I went in that trap.
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sahilsehdev97
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A certain survey recorded the number of television sets owned by each 08 Oct 2025, 23:30
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I fell into the 35 trap as well. Upon closer inspection, the question is asking us to find the total number of TVs owned among families that owned fewer than 3 TVs.

If it was asking to find the total number of families only that own fewer than 3 TVs, the answer would be 4+11+20=35.

But since its asking for the total number of TVs, we multiply the number of families with the number of TVs, hence:
(4x0) + (11x1) + (20x2) = 51.
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