St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Survey 2

Submitted to:

Mr. Junlor C. Dacsa I

Submitted by:

Buen, Sheena Mae M.

Garrote, Angelica E.

Herrera, Camille R.

Date of Submission:

December 19, 2016

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

A. Results of the Survey using the Demographic Profiles of the Respondents.

Example of Discrete

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Example of Discrete

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Example of Continuous

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Example of continuous

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Example of Continuous

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Survey 2 List of names

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Explanation

Upon gathering the data’s and after tallying the results we can say that only few people

engross in different sports-related activity, people focus their selves in only one sport they

have interest and opted not to play something else. With the concept of random variable

and probability distribution we can conclude the following.

The indicated histogram doesn't create a bell-curved shape which is use to interpret if the

following data are well distributed. However, different result is solved using the Microsoft

Excel add-ins such as the descriptive statistics that showcase the skewness, kurtosis, mean,

median, mode and many more. The skewness of the distribution result is 0.682418562 it

ranges from -2< x< 2. Overall the distribution is a normal curve or normal distribution.

The result of the following is already indicated in the table and in the excel presentation

the mean, standard deviation and variance are computed with the equation. So, from the

probability distribution X represent the random variable and P(X) represent the number of

respondents who could answer the questions. The results help us to find out the interests

of the students from the age ranging from 16-18. This helps us to decide with the

extracurricular the students are interested. Using the gathered probability will be a guide

on what should we focus when it comes to sports-related activities inside or outside the

University.

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

B. Results of the Survey Using the Random Variable and Probability Distribution

Let X the random variable representing the number of sports-related

activities of the respondents

P(x) the Probability of the random variable X

The last row indicate the summation

X

(random

variable)

P(X)

(probability)

X P(X)

(mean)

X2 P(x)

(variance)

1 25

50

25

50

25

50

2 19

50

38

50

76

50

3 6

50

18

50

54

50

50

50 or 1

81

50 or 1.62

155

50 or 3.1

√∑𝒙𝟐 ∙ 𝐏(𝐱)

(standard deviation)

= √0.4756 = 0.70

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Histogram

Figure 1. The Histogram for the Probability Distribution of the Random Variable X

5 / 50

10 / 50

15 / 50

20 / 50

25 / 50

30 / 50

35 / 50

25

19

6

Pro

bab

ilit

y P

(X)

Number of Sports-Related Activities of Respondents (X)

1 2 3

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

St. Paul University – Manila

(St. Paul University Systems)

680 Pedro Gil St. Malate, Manila

Documentation