Question

Mr. Lauro decided to give a bonus point to the top 25% of students, a

remedial instruction to the bottom 25% of students and a chance for extra credit

to the middle 50% students.

1. Compute the median, lower quartile and upper quartile.

2. How many students will get bonus point that belong to the top 25%?

And who are those students?

3. Who are those students having a chance for extra credit?

4. How many students need to attend the remediation? Who are those

students?

please help po

wag po sana gawing tanga yung sagot​

Answer 1

Q1 = 23 ; median = 28 ; Q3 = 36

TOP 25% = 3 students (Pauleen ; Vic and Tito).

Extra credit students : (students whose score range between 23 and 36. (score of 23 is not included).

Remediation = 4 students (Pia, Joey, Ryan and Allan

Explanation:

Given the scores :

35, 23, 42, 36,36,27,42,28,35,18,42,25,27,18,20

Ordering the scores in ascending order :

18, 18, 20, 23, 25, 27, 27, 28, 35, 35, 36, 36, 42, 42, 42

The lower quartile :

Q1 = 1/4 * (n+1)th term

Q1 = 1/4 * 16 = 4th term

Q1 = 23

The median :

Q2 = 1/2 * (n+1)th term

Q2 = 1/2 * 16 = 8th term

Q2 = 28

The upper quartile :

Q3 = 3/4 * (n+1)th term

Q3 = 3/4 * 16 = 12th term

Q3 = 36

The top 25% refers to the student who scored beyond the 75 percentile score :

Number of students = (15th - 12th) = 3 students students who scored 42

Pauleen ; Vic and Tito.

The middle 50% gets extra credit : This is the interquartile range :

This are the students whose score range between 23 and 36. (score of 23 is not included)

Students who have to attend the remedial class are those in the lower quartile, student with score of 23 and below.

4 students and they are : Pia, Joey, Ryan and Allan