Learning Task 1:
Consider the situation below and answer the questions that follow.
Teacher Liza, the health coordinator of San Jose National High School,
recorded the height of 40 students in a Grade 10 class for computing Body Mass Index
(BMI). Based on her report, Nadine's height is in the 60th percentile (P60). (Assume that
the height of each student is different to each other.)
a) How many students are shorter than Nadine?
b) How many students are taller than Nadine? 15
c) If Kathryn's height is in the 3rd quartile (Q3). how can you compare it with Nadine's
height?
d) If Maymay's height is in the 4th decile (Dx), how can you compare it with Nadine's
height?
e) if Maymay's height is in the 4th decile (De), how can you compare it with Kathryn's
height?

This means that 60% of the grade 10 students height is the same as Nadine or lower than hers. In other words. 40 × 60% = 24 grade 10 students height is the same as Nadine or lower than hers.

a. There are approximately 24 students who are shorter than Nadine

( You might wonder why I used the word "approximately" its because among the 24 students there are some who's height is the same as Nadine's meaning that the same height cannot be considered shorter than her.)

b. There are 16 students who are taller than her.

Solution:

40% is taller than her or 40% × 40=16

c. If we convert Q3 to Percentile it will be 75. P75 is higher than P60 therefore Kathryn is higher than Nadine

d. D4 is equivalent to P40 therefore Maymay is shorter than Nadine

e. Q3 is equivalent to D7.5 ( let us remember that Maymay's height is D4), meaning that Maymay is also shorter than Kathryn

If you spot something wrong do correct me

CathJMTYgo CathJMTYgo · Answer 2

Answer:

See explanation below

Step-by-step explanation:

a) This means that 60% of the students are shorter or equal to Nadine’s Height. In other words, 40 x 60% = 24 students are shorter or equal to Nadine’s Height.

b) This means that 40% of the students are taller than Nadine’s Height. In other words, 40 x 40% = 16 students are taller than Nadine’s Height.

c) Since 3rd quartile (3) is equal to 75th percentile (P75) then this means that Kathryn’s height is in the 75th percentile (P75) and Nadine height is in the 60th percentile (P60). In other words, Kathryn is taller than Nadine.

d) Since 4th decile (4) is equal to 40th percentile (P40) then this means that Maymay’s height is in the 40th percentile (P40) and Nadine height is 60th percentile (P60). In other words, Maymay is shorter than Nadine.

e) Since Maymay’s height is 40th percentile (P40) and Kathryn’s height is 75th percentile (P75) then this means that Maymay is shorter than Kathryn.