Asurvey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre. the students had to select any one genre out of jazz, rock, and pop. out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music. the total number of students of both age groups who liked jazz was 72.

using a two-way table, compute the total number of students in the age group 13–18 years who liked rock or pop music.

a. 122
b. 130
c. 142
d. 186

186

Step-by-step explanation:

A survey was conducted among 400 students of age groups 7–12 years and 13–18 years to find their favorite music genre.

Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music.

According to the given data , the total number students of age group 7-12 = 200

Since a survey was conducted among 400 students Out of which 200 are from age group 7-12.

So, Remaining 200 are from age group 13-18.

Now we are given Out of the 200 students in the age group 7–12 years who participated in the survey, 142 liked rock or pop music.

So, Number of students of age group  7–12 years who liked jazz = Total students of age group 7-12 - Number of students of age group 13-18 who liked rock or pop music.

Number of students of age group  7–12 years who liked jazz = 200-142

Number of students of age group  7–12 years who liked jazz = 58

Now we are given The total number of students of both age groups who liked jazz was 72.

So, Number of students of age group 13-18 who liked jazz =  The total number of students of both age groups who liked jazz was 72-Number of students of age group  7–12 years who liked jazz

Number of students of age group 13-18 who liked jazz =  72-58 =14

Now there are total 200 students of age group 13-18

Out of 200 , 14 students  liked jazz

So, total number of students in the age group 13–18 years who liked rock or pop music = Total number of students of age group 13-18 - Number of students of age group 13-18 who liked jazz

Total number of students in the age group 13–18 years who liked rock or pop music = 200-14 =186

Hence  the total number of students in the age group 13–18 years who liked rock or pop music is 186

Thus Option D is correct.

Refer the attached file for two way table

186

Step-by-step explanation:

From the data in the question the table attached is made (cells in green are data).

Steps to complete the table

The 58 is gotten by 200 - 142

The 14 is gotten by 72 - 58

The 200 is gotten by 400 - 200

The 186 is gotten by 200 - 14

The 328 is gotten by 142 + 186 and also by 400 - 72

sine

step-by-step explanation:

answer: approximately 206 bones

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