QUESTION IMAGE
Question
a survey asked a random sample of students if they estimated they spent more or less than an hour a day on social media.
- 45 seventh graders were surveyed.
- 28 eighth graders estimated they spent more than an hour.
- 47 eighth graders were surveyed.
- 43 total students estimated they spent less than an hour.
fill in the missing values in the table below.
social media
| more | less | total | |
|---|---|---|---|
| 8th grade | |||
| total |
Step1: 7th grade total
It is given that 45 seventh - graders were surveyed. So the total for 7th grade is \(45\).
Step2: 8th grade more
It is given that 28 eighth - graders estimated they spent more than an hour. So the value for 8th grade (more) is \(28\).
Step3: 8th grade total
It is given that 47 eighth - graders were surveyed. So the total for 8th grade is \(47\).
Step4: 8th grade less
Since the total number of 8th - graders is \(47\) and the number of 8th - graders who spent more than an hour is \(28\), then the number of 8th - graders who spent less than an hour is \(47−28 = 19\).
Step5: Total less
It is given that 43 total students estimated they spent less than an hour.
Step6: 7th grade less
Since the total number of students who spent less than an hour is \(43\) and the number of 8th - graders who spent less than an hour is \(19\), then the number of 7th - graders who spent less than an hour is \(43−19=24\).
Step7: 7th grade more
Since the total number of 7th - graders is \(45\) and the number of 7th - graders who spent less than an hour is \(24\), then the number of 7th - graders who spent more than an hour is \(45 - 24=21\).
Step8: Total more
The number of students who spent more than an hour is \(21 + 28=49\).
Step9: Total total
The total number of students surveyed is \(45+47 = 92\) (also \(49 + 43=92\)).
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| Social Media | More | Less | Total |
|---|---|---|---|
| 8th grade | 28 | 19 | 47 |
| Total | 49 | 43 | 92 |