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Black_prince [1.1K]
3 years ago
10

A survey was conducted among 100 students of age groups 7-12 years and 13-18 years to find their favorite book genre. The studen

ts had to select any one genre out of detective, adventure, and biography. Out of the 50 students in the age group 7-12 years who participated in the survey, 23 liked adventure or biography. The total number of students of both age groups who liked detective books was 28. Using a two-way table, compute the total number of students in the age group 13-18 years who liked adventure or biography.
a. 23
b. 27
c. 49
d. 51
Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
4 0

Answer:

Option: C is the correct answer.

The number of students in the age group 13-18 years who liked adventure or biography are:

c.  49

Step-by-step explanation:

According to the given information in the table we can make a two-way frequency table as follows:

Age group          Adventure or Biography       Detective     Total

 7-12                              23                                    27               50  

 13-18                            49                                     1                  50

Total                             72                                    28               100

  • As there are total 100 students and 50 students belong to the age group 7-12 years.

Hence, the remaining 50 students belong to the age group 13-18 years.

  • Also, 23 liked adventure or biography in the age-group 7-12 years.

This means that the remaining out of 50 students like detective books.

Hence, number of students in age group 7-12 years who like detective is:

50-23=27

  • Also, it is given that total 28 students like detective books.

 Hence, the number of students in the age group 13-18 years who like detective books is:

                        28-27=1.

  • Also as there are total 50 students in age group 13-18 years out of which 1 student like detective books so the remaining will like adventure or biography.

Hence, the number of students who like adventure and biography in the age group 13-18 years is calculated as:

50-1=49 students.

maks197457 [2]3 years ago
3 0
The correct answer is C. 49.

Remember that there are 100 students divided into 7-12 and 13-18 age group. So there should be 50 for each. The table should go like this:

7-12 age group
23 adventure or biography
27 - detective 

so you just have to subtract 50 from 23, which makes it 27. The remaining belongs to the 13-18 age group.

13-18 age group
1 - detective 
49 - adventure or biography.
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