The following table shows the data collected from four random samples of 50 students from a small middle school regarding their reading preferences:
Book Preferences
Sample # Novels Short Stories Classics Comic Books Total
1 26 19 1 4 50
2 30 10 3 7 50
3 33 15 1 1 50
4 22 18 2 8 50
Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
Novels
Short Stories
Classics
Comic Books
5 answers
Based on the results in the table, novels are the preferred type of reading by the majority of students in the samples.
The following table shows the data collected from 2 random samples of 100 students from an after-school club regarding their favorite outdoor activity:
Sample Swimming Movies Picnics Total
1 60 30 10 100
2 80 15 5 100
Which of the following observations can be made about the number of students in the club who prefer swimming? (1 point)
It is more than the number of students who prefer movies and picnics combined.
It is less than the number of students who prefer movies and picnics combined.
It is equal to the number of students who prefer watching movies.
It is less than the number of students who prefer watching movies.
Sample Swimming Movies Picnics Total
1 60 30 10 100
2 80 15 5 100
Which of the following observations can be made about the number of students in the club who prefer swimming? (1 point)
It is more than the number of students who prefer movies and picnics combined.
It is less than the number of students who prefer movies and picnics combined.
It is equal to the number of students who prefer watching movies.
It is less than the number of students who prefer watching movies.
The observation that can be made about the number of students in the club who prefer swimming is:
It is more than the number of students who prefer movies and picnics combined.
It is more than the number of students who prefer movies and picnics combined.
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play outdoor games every week:
Weekly Duration of Outdoor Games
Time (in hours) 0-2 3-5 6-8 9-11
Number of Students 30 62 8 0
There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? (1 point)
744
840
960
1,104
Weekly Duration of Outdoor Games
Time (in hours) 0-2 3-5 6-8 9-11
Number of Students 30 62 8 0
There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to play outdoor games for at least three hours every week? (1 point)
744
840
960
1,104
Based on the sample proportion, we can calculate the total number of students playing outdoor games for at least three hours every week as follows:
Total number of students in the sample = 100
Number of students playing outdoor games for at least 3 hours in the sample = 62
Sample proportion of students playing outdoor games for at least 3 hours = 62/100 = 0.62
Total number of students in the school = 1,200
Expected number of students playing outdoor games for at least 3 hours = 0.62 * 1,200 = 744
Therefore, the expected number of students in the school who would play outdoor games for at least three hours every week is 744.
Total number of students in the sample = 100
Number of students playing outdoor games for at least 3 hours in the sample = 62
Sample proportion of students playing outdoor games for at least 3 hours = 62/100 = 0.62
Total number of students in the school = 1,200
Expected number of students playing outdoor games for at least 3 hours = 0.62 * 1,200 = 744
Therefore, the expected number of students in the school who would play outdoor games for at least three hours every week is 744.
11 answers