Question

C. Engagement (Time Frame: 40 minutes)
Learning Task 1
Solve the following problem.
Mrs. Marasigan is a veterinarian. The Veterinarian is VET, in short, a person who is qualified to treat sick or injured animals such
as cats or dogs. Beterinaryo in Filipino, manggagamot ng hayop na may karamdaman o sakit. The average salary for a
Veterinarian in our country per year is 286,802. One morning Vet Marasigan asked her secretary to record the service time
she rendered for 15 customers.
The following are service times in minutes: 20, 35, 55, 28, 48, 32. 25, 56, 55, 28, 37. 60. 47.52. 17.
Find the values of Q.. Dy, and Pyo. Interpret each measure of position
Learning Task 2​

Answer 1

Given :

Refer to an attachment for a proper question.

To Find:

The values of $Q_{1}, \: D_{7}, \: P_{30}$

Solution:

Arrange the given data in ascending order.

17, 20, 25, 28, 28, 32, 35, 37, 46, 47, 52, 55, 55, 56, 60

Finding $Q_{1}$:

$= > \dfrac{1}{4} (n + 1)$

$= > \dfrac{1}{4} (15 + 1)$

$= > \dfrac{1}{4} \times 16 = 4$

=> 4th term is 28 So, $Q_{1} = 28$

Finding $D_{7}$:

$= > \dfrac{7}{10} (n + 1)$

$= > \dfrac{7}{4} (15+ 1)$

$= > \dfrac{7}{10} \times 16$

$= > 11.2$

=> 11th term is 52. So, $D_{7} = 52$

Finding $P_{30}$:

$= > \dfrac{30}{100} (n + 1)$

$= > \dfrac{30}{100} (15 + 1)$

$= > \dfrac{30}{100} \times 16$

$= > 4.8 = 5$

5th term is 28. So, $P_{30} = 28$