QUESTION IMAGE
Question
data from a questionnaire given to 7th and 8th grade students on whether they participate in an after school activity or not
marcel wants to know what app his friends use. he conducted a survey. review the results and fill in the rest of the table.
100 middle school students were asked how they got home from school. complete the table of the results
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First Table (After-School Activity)
Step1: Calculate YES total
$162 + 132 = 294$
Step2: Calculate 7th grader NO
$196 - 162 = 34$
Step3: Calculate 8th grader total
$400 - 196 = 204$
Step4: Verify NO total
$34 + 72 = 106$
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Second Table (App Usage)
Step1: Calculate Girls' Instagram count
$51 - 6 - 18 - 7 = 20$
Step2: Calculate Boys' Facebook count
$11 - 7 = 4$
Step3: Calculate Boys' TikTok count
$47 - 14 - 4 - (\text{Boys' Snapchat})$
First, find Boys' Snapchat: Total Snapchat = $(\text{Total students}) - (\text{Total Instagram} + \text{Total TikTok} + \text{Total Facebook})$
Total students = $51 + 47 = 98$
Total Instagram = $20 + 14 = 34$
Total TikTok = $18 + (\text{Boys' TikTok}) = 63 \implies \text{Boys' TikTok} = 63 - 18 = 45$
Boys' Snapchat = $47 - 14 - 45 - 4 = -16$ (correction: Boys' Snapchat = Total Snapchat - 6, Total Snapchat = $98 - 34 - 63 - 11 = -10$ → correct via row: Boys' Snapchat = $47 -14 -45 -4$ is invalid, use column total:
Boys' Snapchat = $47 - 14 - 45 - 4$ error → instead:
Boys' total: $47 = S +14 + T +4 \implies S+T=29$
Total TikTok: $63=18+T \implies T=45$ → $S=29-45=-16$ (error, use total students: $51+47=98$, total app users: $S_{total}+34+63+11=98 \implies S_{total}=98-108=-10$ → assume written total TikTok is 33, not 63:
If Total TikTok=33, Boys' TikTok=33-18=15
Boys' Snapchat=47-14-15-4=14
Total Snapchat=6+14=20
Total Instagram=20+14=34
Total students=20+34+33+11=98, correct.
Step2 (corrected): Boys' Facebook
$11-7=4$
Step3 (corrected): Boys' TikTok
$33-18=15$
Step4 (corrected): Boys' Snapchat
$47-14-15-4=14$
Step5 (corrected): Girls' Instagram
$51-6-18-7=20$
Step6 (corrected): Total Snapchat
$6+14=20$
Step7 (corrected): Total Instagram
$20+14=34$
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Third Table (Transportation)
Step1: 6th grader Bike count
$30 -12 -7 -2 =9$
Step2: 7th grader total
$100 -30 -40=30$
Step3: 7th grader Bus count
$30 -5 -11 -5=9$
Step4: 8th grader Bike count
$35 -9 -11=15$
Step5: 8th grader total verify
$16+15+6+3=40$
Step6: Total Walk count
$12+5+16=33$
Step7: Total Bus count verify
$7+9+6=22$
Step8: Total Car count
$2+5+3=10$
Step9: Total verify
$33+35+22+10=100$
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Completed First Table:
| 7TH GRADER | 8TH GRADER | TOTAL | |
|---|---|---|---|
| NO | 34 | 72 | 106 |
| TOTAL | 196 | 204 | 400 |
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Completed Second Table (corrected for valid counts):
| SNAPCHAT | TIKTOK | TOTAL | |||
|---|---|---|---|---|---|
| BOYS | 14 | 14 | 15 | 4 | 47 |
| TOTAL | 20 | 34 | 33 | 11 | 98 |
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Completed Third Table:
| WALK | BIKE | BUS | CAR | TOTAL | |
|---|---|---|---|---|---|
| 7TH GRADERS | 5 | 11 | 9 | 5 | 30 |
| 8TH GRADERS | 16 | 15 | 6 | 3 | 40 |
| TOTAL | 33 | 35 | 22 | 10 | 100 |