Question

At National Public school, $ 200 $ students were asked to name a career they would like to pursue. The results are shown in the given table.
Which of the following statements is supported by the data in the table?

Career	Number of statements
Actor/Actress	30
Athlete	40
Business	1
Executive	70
Pilot	19
Politician	10
Musician	22
Teacher	8

(A) More than \[25\% \] of the students would like to pursue a career in acting or music
(B) The least number of students choose teaching because of the college preparation required.
(C) The mode of the data is $ 30. $
(D) Exactly $ 10\% $ of the students would like to pursue a career in politics.

Answer 1

Hint: Make use of percentage formula to calculate the percentage. Since in the question, it is asked to find the appropriate statement, so check each of the given options and see if the condition given in the option is correct or not.

Complete step-by-step answer:
According to the question,
Total number of student whose data is noted $ = 200 $
And , Number of students who want to pursue career in acting or music $ = 30 + 22 $
On simplifying the above condition $ = 52 $
Now we have to calculate the percentage of data above.
Therefore, Percentage $ = \dfrac{{52}}{{200}} \times 100 $
On simplifying the above equation, we get
Percentage $ = 26\% $
Therefore, from the above explanation the correct option is [A] More than \[25\% \] of the students would like to pursue a career in acting or music
There is no sufficient data to support option B and the business is the least profession anyways.
The mode of the data is average of 70 and 19 which is not 30, hence option C is also not correct.
10 people choose politics which is less than 10 percent hence option D too is incorrect.

So, the correct answer is “Option A”.

Note: In this type of questions it is better to form a table for given results so that we could solve all the questions asked in one go. If we do not prepare a table, then we will have to solve each sub-question and also comparing quantities would be difficult without tabular presentation.